content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Integration by partial fractions.
http://i142.photobucket.com/albums/r118/xcelxp/mq1.jpg
Ive been able to complete a couple of problems. I was hoping someone could help me with this one. Thanks.
Quote:
http://i142.photobucket.com/albums/r118/xcelxp/mq1.jpg
Ive been able to complete a couple of ... | 5 | [
0.039306640625,
0.05712890625,
0.055908203125,
0.043701171875,
0.0036163330078125,
-0.043212890625,
-0.0260009765625,
-0.003814697265625,
0.002288818359375,
-0.0703125,
-0.0311279296875,
-0.0849609375,
0.0283203125,
0.048095703125,
-0.040771484375,
0.03564453125,
0.05029296875,
0.0... | 7,200 | 7200 | |
Math Forum Discussions - Re: Dimension of the space of real sequences
Date: Nov 14, 2012 9:19 PM
Author: W^3
Subject: Re: Dimension of the space of real sequences
If R^N had a countable basis, then so would every subspace of R^N. In
particular l^2 would have a countable basis, call it {v_1,_2, ...}.
Setting V_n = span... | 4 | [
0.01708984375,
-0.0595703125,
-0.015869140625,
0.0732421875,
0.032958984375,
0.1259765625,
-0.0299072265625,
-0.0634765625,
0.03515625,
-0.150390625,
0.0166015625,
0.04443359375,
-0.0751953125,
0.01251220703125,
-0.04150390625,
-0.10546875,
-0.01300048828125,
-0.005645751953125,
... | 7,201 | 7201 | |
Are Properties of Logarithms Missing Something?
Date: 11/17/2005 at 09:05:28
From: Sara
Subject: logarithms
I have a question about using the properties of logs to solve
equations. For example, I can solve this equation in two ways:
ln x^2 = -7
e^(ln x^2) = e^(-7)
x^2 = e^(-7)
x = plus or minus (e^(-7/2))
... | 4 | [
-0.052001953125,
0.02587890625,
0.04296875,
0.09423828125,
0.0169677734375,
-0.091796875,
-0.0216064453125,
0.002838134765625,
0.08642578125,
0.0859375,
0.091796875,
-0.0263671875,
-0.0093994140625,
0.041015625,
0.0263671875,
-0.036376953125,
-0.08935546875,
-0.0069580078125,
-0.... | 7,202 | 7202 | |
flloor and ceiling question
November 27th 2009, 07:06 AM #1
Newbie
Joined
Nov 2009
Posts
11
flloor and ceiling question
Hi, I think the answer of this question x= $\sqrt{1/2}$. But I am not sure for this answer. What do you think about for this problem ?
Last edited by Plato; November 27th 2009 at 0... | 4 | [
-0.0057373046875,
0.03515625,
0.0224609375,
0.031982421875,
0.01177978515625,
-0.0155029296875,
0.032470703125,
0.0576171875,
0.045654296875,
0.01239013671875,
0.01239013671875,
-0.021484375,
0.04736328125,
0.0252685546875,
0.000919342041015625,
0.0203857421875,
0.06884765625,
-0.0... | 7,203 | 7203 | |
Archimedes' Method of Estimating Pi
Date: 5/29/96 at 21:24:35
From: Larry Sherman
Subject: Archimedes' method of estimating pi - ?
Tell me about Archimedes' method for estimating pi using inscribed and
circumscribed polygons about a circle.
Thanks,
Corinna
Date: 5/30/96 at 14:38:30
From: Doctor Darrin
Subject: R... | 4 | [
0.036865234375,
0.07568359375,
-0.0011444091796875,
0.061767578125,
-0.0267333984375,
-0.060546875,
-0.03173828125,
0.0908203125,
0.04150390625,
0.00262451171875,
-0.1142578125,
0.007049560546875,
0.041259765625,
0.005218505859375,
-0.02880859375,
-0.0810546875,
-0.037841796875,
-0... | 7,204 | 7204 | |
[SOLVED] Solve Logaritmic Equation in terms of natural log
July 7th 2009, 12:17 PM #1
Newbie
Joined
Jul 2009
Posts
17
[SOLVED] Solve Logaritmic Equation in terms of natural log
I need to solve the following equation:
10^(2X+3) = 280
To express in logarithmic, I know I need to do the following:
... | 4 | [
-0.038818359375,
-0.038818359375,
-0.06884765625,
-0.0019989013671875,
0.051513671875,
0.0078125,
0.0380859375,
0.01129150390625,
-0.0009765625,
0.0693359375,
0.07177734375,
-0.052734375,
0.0439453125,
0.09228515625,
0.08154296875,
0.0322265625,
-0.1396484375,
0.0693359375,
-0.04... | 7,205 | 7205 | |
Using the Dimension Theorem...
November 20th 2009, 08:08 PM #1
Member
Joined
Mar 2008
Posts
182
Using the Dimension Theorem...
Let $L:R^{3}\rightarrow R^{2}$be the linear mapping defined by $L\left(x,y,z\right)=\left(x-y,y-z\right)$.
Find the standard 2x3 matrix representation of L and compute L(1,1,... | 4 | [
0.000659942626953125,
-0.042724609375,
-0.0341796875,
0.018798828125,
0.057861328125,
0.0130615234375,
0.0194091796875,
-0.00897216796875,
-0.0126953125,
-0.06201171875,
-0.01287841796875,
-0.033935546875,
0.00118255615234375,
-0.036376953125,
-0.056396484375,
-0.047607421875,
-0.109... | 7,206 | 7206 | |
Filters (Frequency)
From MIPAV
Frequency filters process an image in the frequency domain. The image is first, Fourier transformed, then multiplied with the filter function, and then transformed back to the spatial domain.
Attenuating high frequencies results in a smoother image in the spatial domain, attenuating low... | 4 | [
-0.0184326171875,
0.043701171875,
0.0400390625,
-0.030029296875,
0.028076171875,
-0.0439453125,
0.046630859375,
-0.0152587890625,
0.04638671875,
-0.0279541015625,
-0.00823974609375,
0.0145263671875,
0.0302734375,
-0.02490234375,
-0.00335693359375,
0.0125732421875,
-0.01904296875,
0... | 7,207 | 7207 | |
Solving Linear equations
April 4th 2008, 07:11 PM
Davidxes
Solving Linear equations
ok this one confuzes me 4 some reason : o
3- 2d = 7
(2d over 5)
pls explain : o
April 4th 2008, 07:16 PM
Mathstud28
OK heres what you do follow my steps
$\frac{3-2d}{5}=7$...now by multiplying both sides by ... | 4 | [
-0.05224609375,
0.031982421875,
0.049560546875,
-0.023193359375,
0.00191497802734375,
-0.07666015625,
-0.0810546875,
-0.0240478515625,
-0.01251220703125,
0.09912109375,
0.046875,
-0.025146484375,
-0.031494140625,
0.05224609375,
-0.04541015625,
0.0308837890625,
-0.0247802734375,
0.0... | 7,208 | 7208 | |
Conversion Factors
September 26th 2010, 02:45 PM #1
Newbie
Joined
May 2010
Posts
18
Conversion Factors
A car is going 56km/h, it is accelerating at a rate of ${6m/s^2}$. How long would it take for it to obtain a speed of 90km/h?
For some reason i have some sort of brain block when it comes to conver... | 4 | [
0.0576171875,
0.064453125,
-0.00848388671875,
0.015625,
0.048583984375,
-0.02001953125,
-0.10205078125,
0.0167236328125,
-0.023193359375,
-0.031005859375,
0.09326171875,
-0.051025390625,
0.08154296875,
-0.006500244140625,
-0.033935546875,
0.0087890625,
0.0257568359375,
0.0659179687... | 7,209 | 7209 | |
Trig Substitution again
September 29th 2009, 09:58 AM
Hellacious D
Trig Substitution again
The integral from 0 to a of (x^2)(((a^2)-(x^2))^.5) dx
It must be done using trig substitution. I have it down to
(((a^4)(2sqrt(2))-(a^4))/3 + ((a^4)-((a^4)(4sqrt(2))))/5
Is there any way to simply further?
S... | 5 | [
0.0167236328125,
0.029052734375,
0.007049560546875,
-0.0107421875,
-0.007171630859375,
0.0242919921875,
-0.07470703125,
-0.07080078125,
0.0128173828125,
0.03466796875,
0.06884765625,
0.041259765625,
-0.00982666015625,
0.047607421875,
0.02099609375,
0.004638671875,
0.0228271484375,
... | 7,210 | 7210 | |
Contradictory Stokes Theorem verification problem/ even and odd functions
December 7th 2012, 11:27 PM #1
Junior Member
Joined
Sep 2010
Posts
36
Contradictory Stokes Theorem verification problem/ even and odd functions
Problem- Let F = <0, -z, 1> and S be the part of the unit sphere where z > $\frac{1}{2}... | 5 | [
-0.043701171875,
0.0341796875,
0.0240478515625,
-0.03564453125,
0.0712890625,
-0.01239013671875,
0.00823974609375,
0.07861328125,
-0.037841796875,
0.11181640625,
-0.0250244140625,
0.0189208984375,
-0.0033721923828125,
-0.01153564453125,
-0.0201416015625,
-0.04150390625,
-0.0446777343... | 7,211 | 7211 | |
No. 2370: Numbers
Today, one, two, three … divinity. The University of Houston’s College of Engineering presents this series about the machines that make our civilization run, and the people whose ingenuity
created them.
What do the following words have in common: natural, imaginary, real, irrational, and ... | 4 | [
-0.04052734375,
-0.0673828125,
-0.056640625,
-0.022216796875,
-0.09033203125,
-0.045166015625,
-0.00167083740234375,
-0.021240234375,
0.06298828125,
0.026123046875,
-0.083984375,
0.0001583099365234375,
0.0301513671875,
0.044189453125,
0.0245361328125,
-0.08154296875,
-0.0673828125,
... | 7,212 | 7212 | |
Triangle inequality
March 4th 2011, 12:25 PM
thalesgil1
Triangle inequality
Please, guys, I would aprecciate any help with this problem:
Prove that the sum of the distances of any point within a triangle, to its vertices, is smaller than the triangle perimeter. I know that I have to use the triangle inequali... | 4 | [
-0.09423828125,
0.1171875,
-0.00147247314453125,
-0.0299072265625,
-0.01287841796875,
0.0272216796875,
-0.0201416015625,
0.005615234375,
-0.033203125,
-0.004638671875,
-0.0810546875,
-0.023193359375,
0.03564453125,
0.0281982421875,
0.037109375,
0.037109375,
0.02099609375,
-0.007781... | 7,213 | 7213 | |
Unbiased Estimators
February 7th 2009, 02:29 PM #1
Junior Member
Joined
Nov 2007
Posts
58
Unbiased Estimators
Let Y_1, Y_2,...,Y_n be a random sample of size n from the pdf f_Y(y;theta)=(1/theta)*e^(-y/theta), y>0:
a) Let theta hat=n*Y_min. Is theta hat unbiased for theta?
For this question, I'... | 5 | [
-0.04638671875,
-0.0021209716796875,
-0.034423828125,
-0.02783203125,
0.06640625,
-0.0361328125,
-0.00469970703125,
-0.0064697265625,
0.00066375732421875,
-0.0130615234375,
0.00396728515625,
-0.0035400390625,
0.023193359375,
-0.0169677734375,
-0.06787109375,
-0.01275634765625,
0.0128... | 7,214 | 7214 | |
linear transformation's effect on unit square
October 21st 2013, 08:59 PM #1
Junior Member
Joined
Oct 2013
From
USA
Posts
34
linear transformation's effect on unit square
The linear transformation is given as $T \begin{bmatrix}x \\ y \end{bmatrix} = \begin{bmatrix}\ x+y \\ x-y\end{bmatrix}$ and I hav... | 5 | [
-0.07568359375,
-0.003753662109375,
-0.028076171875,
-0.095703125,
-0.033935546875,
-0.04150390625,
-0.05126953125,
-0.06787109375,
0.043701171875,
-0.024658203125,
0.08056640625,
0.028564453125,
-0.01300048828125,
0.0498046875,
-0.025146484375,
-0.03466796875,
-0.012939453125,
-0.... | 7,215 | 7215 | |
limit with products of n and e
June 9th 2009, 02:05 AM #1
Junior Member
Joined
Apr 2009
Posts
41
limit with products of n and e
find the limit of $n^2*e^{-n}$ as n approaches infinity
I just dont see how to do limits of more complex things. I can take each part by itself, find its limit and multiply... | 4 | [
-0.0283203125,
0.07275390625,
-0.04345703125,
0.052001953125,
-0.01507568359375,
-0.040771484375,
-0.03857421875,
0.0064697265625,
0.0537109375,
-0.0634765625,
0.06201171875,
-0.04248046875,
-0.024658203125,
0.033447265625,
0.03515625,
-0.0400390625,
0.00311279296875,
-0.0080566406... | 7,216 | 7216 | |
Uniformly continuous function-two variables
May 26th 2011, 05:28 AM #1
Uniformly continuous function-two variables
The question:
Given $f(x,y)=\cos(\frac{1}{1-x^2-y^2})$, prove:
a) $f(x,y)$ isn't uniformly continuous functions on $D=\{(x,y)|x^2+y^2<1\}$
b) $f(x,y)$ is uniformly continuous functions... | 5 | [
-0.00958251953125,
-0.0030364990234375,
-0.029541015625,
-0.09912109375,
-0.00034332275390625,
-0.03466796875,
0.026123046875,
0.02001953125,
-0.047119140625,
0.046142578125,
0.0203857421875,
0.049560546875,
0.003173828125,
0.008544921875,
0.0125732421875,
-0.058349609375,
0.07080078... | 7,217 | 7217 | |
Path integral
September 10th 2009, 10:03 AM #1
Junior Member
Joined
Feb 2009
Posts
38
Path integral
I need to show that $\int_{0,0}^{1,1}z^*dz$ is path dependent by choosing 2 paths. $C_1$ passes through (1,0) and $C_2$ passes through(0,1)
Here's my attempt:
path 1:
$\int_{0,0}^{1,1}z^*dz=\... | 5 | [
-0.055419921875,
-0.0103759765625,
0.0177001953125,
-0.0196533203125,
-0.007415771484375,
0.001953125,
0.06298828125,
0.0247802734375,
-0.08984375,
0.0172119140625,
-0.072265625,
-0.052734375,
0.0654296875,
0.07958984375,
-0.050048828125,
0.0205078125,
-0.11083984375,
-0.0205078125... | 7,218 | 7218 | |
Math Forum Discussions
Torsten
Posts: 1,439
Registered: 11/8/10
Re: Warning: Explicit integral could not be found.
Posted: Jul 22, 2013 9:38 AM
Christopher Creutzig <Christopher.Creutzig@mathworks.com> wrote in message <51ECF984.7080907@mathworks.com>...
> On 26.06.13 03:26, Ferra wrote:
>
> > I'm trying to solve thi... | 5 | [
-0.031494140625,
0.00042724609375,
-0.06640625,
0.00154876708984375,
-0.05615234375,
-0.037109375,
-0.0137939453125,
0.008056640625,
0.00921630859375,
0.055908203125,
0.10693359375,
0.024658203125,
-0.0390625,
0.0732421875,
0.00640869140625,
0.0341796875,
-0.015869140625,
-0.066894... | 7,219 | 7219 | |
could you please correct these two problems?
December 12th 2009, 09:55 AM #1
Junior Member
Joined
Oct 2006
From
canada
Posts
68
could you please correct these two problems?
marginal cost for a determined product is MC=3x+50 and the production of 20 units results in a total cost of $2,000, what is the... | 5 | [
0.02001953125,
-0.0166015625,
0.05908203125,
0.0016021728515625,
0.03515625,
0.0546875,
-0.003875732421875,
0.07275390625,
-0.048095703125,
0.09814453125,
0.05126953125,
-0.068359375,
0.044189453125,
0.04296875,
-0.0260009765625,
0.0303955078125,
-0.00823974609375,
0.015625,
-0.0... | 7,220 | 7220 | |
connectedness
April 21st 2010, 07:33 AM
cp05
connectedness
show if A and B are connected in (M,d) with AnB!=empty set, AUB is also connected.
that just seems obvious.....how would I go about proving this one?
thanks
April 21st 2010, 03:33 PM
Drexel28
Quote:
Let's prove it in general. Let $X... | 5 | [
0.0233154296875,
-0.017822265625,
0.04150390625,
0.01025390625,
-0.0022430419921875,
0.087890625,
0.1259765625,
-0.11376953125,
0.0299072265625,
0.0159912109375,
0.02880859375,
-0.06689453125,
0.009765625,
0.023193359375,
0.012451171875,
0.0164794921875,
-0.019287109375,
-0.0815429... | 7,221 | 7221 | |
Another square technique...
May 20th 2010, 07:01 AM
tysonrss
Another square technique...
Use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a.
2x2 + 32x + 12 = 0
Thanks alot guys.
May 20th 2010, 07:16 AM
harish21
Quote:
$2x^{2} + 32x + 1... | 4 | [
-0.00250244140625,
0.134765625,
0.044677734375,
0.08349609375,
-0.01416015625,
0.064453125,
-0.01312255859375,
0.0067138671875,
0.053955078125,
-0.056640625,
0.0966796875,
-0.0101318359375,
-0.0015106201171875,
-0.0196533203125,
-0.07421875,
0.0400390625,
-0.060546875,
0.0991210937... | 7,222 | 7222 | |
l'Hôpital's rule
Do you really have to solve it by l'Hôpital rule ? You can write $\sqrt{9x^2+1} =3x\sqrt{1+\frac 1{9x^2}}$ and $\sqrt{4x^2+1} =2x\sqrt{1+\frac 1{4x^2}}$.
The derivative of $(9x^2+ 1)^{1/2}$ is $\frac{1}{2}(9x^2+ 1)^{-1/2}(18x)= \frac{9x}{\sqrt{9x^2+ 1}}$ The derivative of $(4x^2+ 1)^{1/2}$ is $\frac{1... | 5 | [
0.07568359375,
0.00469970703125,
0.078125,
-0.007781982421875,
0.005401611328125,
-0.051513671875,
-0.09033203125,
0.06298828125,
0.095703125,
-0.05029296875,
0.07763671875,
-0.04736328125,
0.0247802734375,
0.0274658203125,
-0.11083984375,
-0.02783203125,
-0.00872802734375,
0.05957... | 7,223 | 7223 | |
Proof-- Limits (Missed Class, please help)
October 22nd 2009, 05:53 PM
amm345
Proof-- Limits (Missed Class, please help)
Let
x, y be elements ofR such that x not= y. Prove that there exists epsom > 0 such that y not element of[x − epsom, x + epsom]
October 22nd 2009, 06:03 PM
artvandalay11
Quote... | 4 | [
-0.044921875,
0.0225830078125,
0.02001953125,
-0.060546875,
0.051513671875,
-0.009033203125,
0.0267333984375,
-0.00823974609375,
-0.0296630859375,
-0.0517578125,
0.12109375,
-0.0004596710205078125,
-0.01556396484375,
-0.0177001953125,
-0.004180908203125,
0.03857421875,
0.051513671875... | 7,224 | 7224 | |
Mechanics 1 question. Forces/friction/Newtons 2nd Law
January 8th 2010, 03:09 AM
NathanBUK
Mechanics 1 question. Forces/friction/Newtons 2nd Law
Hi, just another question which im slighly unsure about but Ill see if you can help me.
A block of mass 20kg is being pulled along a rough horizonal surface by a r... | 4 | [
-0.04931640625,
0.052001953125,
-0.0279541015625,
-0.0306396484375,
0.041748046875,
0.0234375,
-0.0235595703125,
0.10693359375,
-0.028564453125,
0.11962890625,
0.07568359375,
-0.09912109375,
-0.0054931640625,
0.068359375,
-0.041748046875,
0.099609375,
-0.0257568359375,
0.0208740234... | 7,225 | 7225 | |
What would be w? Proportions question
September 29th 2012, 11:17 AM #1
Newbie
Joined
Sep 2012
From
Houston
Posts
9
3 / 8 = w / w + 2
3 over 8 equals w over w + 2
3 w
_ = _
8 w+2
What is w? My answer is w = 1.2 but I'm not sure.
Re: What would be w? Proportions question
Yes... | 4 | [
-0.049072265625,
0.023681640625,
-0.0439453125,
0.05908203125,
-0.0242919921875,
0.0020904541015625,
-0.02490234375,
-0.00775146484375,
-0.032470703125,
-0.0034332275390625,
0.02685546875,
-0.05322265625,
-0.038818359375,
0.021240234375,
-0.04833984375,
-0.01068115234375,
-0.01098632... | 7,226 | 7226 | |
Iterated Integrals
June 27th 2010, 02:46 AM #1
Newbie
Joined
Jun 2010
Posts
6
Iterated Integrals
1. The problem statement, all variables and given/known data
Evaluate the iterated integral
2. Relevant equations
Fundamental Theorem of Calculus & Fubini's Theorem
3. The attempt at a sol... | 5 | [
0.05029296875,
-0.002227783203125,
0.017822265625,
-0.0213623046875,
-0.0021820068359375,
-0.0771484375,
0.04296875,
-0.00689697265625,
-0.0235595703125,
-0.06298828125,
0.003448486328125,
-0.0224609375,
0.00127410888671875,
0.05517578125,
-0.068359375,
0.0615234375,
-0.0037078857421... | 7,227 | 7227 | |
Combinatorial proof
July 3rd 2010, 05:40 PM #1
Combinatorial proof
Give a combinatorial proof: For n and k satisfying $1\leq k\leq n$,
$_{n}P_{k}=(n)_{k}=\sum_{j=k}^{n}k*(j-1)_{k-1}$.
$\sum_{j=k}^{n}k*(j-1)_{k-1}$
$=k(k-1)_{k-1}+k(k)_{k-1}+k(k+1)_{k-1}+\ldots+k(n-2)_{k-1}+k(n-1)_{k-1}$
$=\frac{... | 5 | [
-0.055419921875,
-0.002227783203125,
0.0439453125,
-0.0020904541015625,
-0.059326171875,
0.02880859375,
0.032470703125,
0.0233154296875,
-0.025390625,
0.027099609375,
-0.15625,
0.01202392578125,
0.046142578125,
-0.034423828125,
-0.055419921875,
0.0595703125,
0.0247802734375,
-0.005... | 7,228 | 7228 | |
Quadratics question
This is because no number squared either positive or negative can give a negative answer.
And I'll be willing to bet that many math students, when seeing this problem, would expand the (2 - x)^2 and try to solve for x using the quadratic formula. It drives me nuts when students make
problems much h... | 4 | [
0.0208740234375,
0.00830078125,
0.0615234375,
-0.01397705078125,
-0.04345703125,
-0.020751953125,
0.01483154296875,
0.02197265625,
0.0084228515625,
-0.0098876953125,
0.111328125,
-0.013916015625,
0.0257568359375,
0.12353515625,
0.00176239013671875,
0.0152587890625,
0.064453125,
-0.... | 7,229 | 7229 | |
how to show a function is not derivable at it's critical point?
March 6th 2014, 05:38 PM #1
Member
Joined
May 2012
From
Toronto
Posts
244
Thanks
1
how to show a function is not derivable at it's critical point?
I'm looking at the derivative of |-5x+8| WRT x
The critical point is 8/5. The der... | 5 | [
-0.072265625,
-0.01531982421875,
0.057373046875,
-0.00125885009765625,
0.05224609375,
0.01324462890625,
-0.01806640625,
0.099609375,
-0.0103759765625,
0.016845703125,
0.08544921875,
-0.018798828125,
0.007171630859375,
0.055419921875,
-0.055419921875,
-0.0211181640625,
0.06005859375,
... | 7,230 | 7230 | |
Verification problems
October 21st 2009, 04:22 PM
clay10
Verification problems
1. sinx+cosx/tan^2x-1 = cos^2x/sinx-cosx
I've tried everything(converting to sines and cosines, factoring, etc.) and even my teacher couldn't figure it out...
2. 1+tanx/1-tanx = sec^2x+2tanx/2-sec^2x
I make everything m... | 4 | [
-0.053466796875,
0.044677734375,
0.09375,
0.056640625,
0.01611328125,
-0.0027923583984375,
-0.015869140625,
-0.036865234375,
0.025390625,
-0.000331878662109375,
0.10693359375,
-0.035888671875,
0.0517578125,
0.09619140625,
-0.0172119140625,
-0.02978515625,
0.033935546875,
0.01757812... | 7,231 | 7231 | |
where did I go wrong in this equation?
April 11th 2011, 03:51 PM #1
Junior Member
Joined
Mar 2011
Posts
25
where did I go wrong in this equation?
2x-12=-2(x^2-3x)^(.5)
1) divide by -2 by the associative property of mult.
2) that makes -x+6=(x^2-3x)^(.5), then square both sides
3) that makes,... | 4 | [
0.0250244140625,
0.0247802734375,
0.0179443359375,
0.0498046875,
-0.0179443359375,
-0.06689453125,
-0.00128936767578125,
-0.050537109375,
0.05224609375,
0.02978515625,
0.0888671875,
0.0245361328125,
0.060791015625,
-0.0234375,
-0.0169677734375,
0.04443359375,
-0.054443359375,
0.049... | 7,232 | 7232 | |
Find the limit of the sequence
Please help! Use the squeezing theorem to find the limit of the sequence
Hello, First of all, you can divide the numerator & the denominator by n --> $a_n=\frac{\sin(n)+3\cos(n)}{n+1}$ Now, the squeeze theorem. (these are all $\leq$) -1<sin(n)<1 -1<cos(n)<1 --> -3<3cos(n)
<3 ---> -1-3<si... | 5 | [
-0.095703125,
-0.001434326171875,
-0.06689453125,
0.0198974609375,
-0.035400390625,
0.02490234375,
-0.044677734375,
0.0167236328125,
0.03466796875,
0.017333984375,
0.00130462646484375,
-0.058349609375,
-0.0322265625,
0.050048828125,
-0.0157470703125,
-0.07275390625,
0.0576171875,
-... | 7,233 | 7233 | |
Estimation of the number of extreme pathways for metabolic networks
Abstract
Background
The set of extreme pathways (ExPa), {p[i]}, defines the convex basis vectors used for the mathematical characterization of the null space of the stoichiometric matrix for biochemical reaction
networks. ExPa analysis has been used ... | 4 | [
-0.00872802734375,
-0.07373046875,
-0.07373046875,
0.037109375,
0.0252685546875,
-0.005645751953125,
-0.017578125,
0.07373046875,
0.1005859375,
-0.0252685546875,
0.00628662109375,
-0.0216064453125,
0.0284423828125,
0.016357421875,
-0.051025390625,
0.01336669921875,
-0.06982421875,
... | 7,234 | 7234 | |
transgression in terms of cup product in case of non-trivial action of the group on the coeffecients module
up vote 2 down vote favorite
It is well known that given a short exact sequence $1\to H \to G \to G/H \to 1$ the transgression map $$ H^{p-1}(G/H, H^1(H,A)) \to H^{p+1}(G/H,A^H) $$ in the inflation-restriction s... | 5 | [
-0.01324462890625,
0.004791259765625,
0.053466796875,
-0.026123046875,
-0.01904296875,
0.0703125,
0.0390625,
0.002899169921875,
-0.00994873046875,
-0.06396484375,
0.06591796875,
-0.0027008056640625,
-0.07421875,
-0.015380859375,
0.04150390625,
0.007232666015625,
-0.035888671875,
-0... | 7,235 | 7235 | |
factorial question
March 31st 2010, 09:36 AM
ihavvaquestion
factorial question
determine how many zeros are at the end of the numerals for the following numbers.
a. 10!
b. 100!
c. 1000!
March 31st 2010, 10:28 AM
Soroban
Hello, ihavvaquestion!
Quote:
Determine how many zeros are a... | 4 | [
-0.05615234375,
-0.01092529296875,
-0.000274658203125,
-0.036865234375,
0.0208740234375,
0.09423828125,
0.09228515625,
0.04833984375,
-0.0439453125,
0.0196533203125,
0.00775146484375,
-0.06787109375,
0.014404296875,
0.05322265625,
-0.0228271484375,
0.026611328125,
-0.0101318359375,
... | 7,236 | 7236 | |
Comparing Corresponding Factors
Date: 03/04/2003 at 23:40:48
From: John Mark
Subject: Fermat's Theorem
If p is an odd prime and k is an integer satisfying 1 <= k <= p-1,
show that the binomial coefficient
((p-1) k)
is congruent to
(-1)^k(mod p)
I realize that binomial coefficient (p k) is congruent to 0 mod... | 4 | [
-0.0228271484375,
0.05712890625,
0.043212890625,
0.103515625,
0.04833984375,
-0.0233154296875,
0.083984375,
0.0556640625,
-0.039306640625,
0.0198974609375,
-0.03515625,
0.0157470703125,
0.0576171875,
0.0546875,
-0.08935546875,
-0.00421142578125,
-0.039306640625,
0.0169677734375,
... | 7,237 | 7237 | |
Misc Calculus questions
August 16th 2006, 10:51 PM #1
Senior Member
Joined
Jul 2006
Posts
364
Misc Calculus questions
Hi, im having trouble with some questions, here's one, i will post more as i run into more problems.
The acceleration of an object, $a m/s^2$ moving in a line at t seconds is given b... | 5 | [
-0.03173828125,
0.0228271484375,
0.044189453125,
0.00677490234375,
0.031982421875,
0.04248046875,
-0.032470703125,
0.10693359375,
-0.039306640625,
0.09423828125,
0.08935546875,
-0.064453125,
-0.027587890625,
0.068359375,
-0.0257568359375,
0.028076171875,
0.037353515625,
0.032958984... | 7,238 | 7238 | |
exponential functions
solve for x where x is a real number 4+7lne(^x^2)=2e^4lnx(Cool)
The equation is not clear. Please re-post it. Ideally, learn some basic latex before re-posting: http://www.mathhelpforum.com/math-he...-tutorial.html
Guessing it is $4 + 7 \ln e^{x^2} = 2e^{4\ln x}$ Use the following identities: $4... | 4 | [
0.05078125,
0.004486083984375,
0.01483154296875,
0.06005859375,
-0.024169921875,
-0.0250244140625,
0.016845703125,
0.0400390625,
0.009033203125,
0.0341796875,
0.1318359375,
-0.08154296875,
-0.00408935546875,
0.05859375,
-0.0191650390625,
0.000469207763671875,
-0.0654296875,
0.02929... | 7,239 | 7239 | |
Prof
nLab
Prof
Context
2-Category theory
Definitions
Transfors between 2-categories
Morphisms in 2-categories
Structures in 2-categories
Limits in 2-categories
Structures on 2-categories
Categories of categories
Contents
Definition
$\mathbf{Prof}$ is the 2-category of categories, profunctors, and natural tr... | 4 | [
0.032470703125,
0.0147705078125,
-0.0517578125,
-0.020751953125,
-0.083984375,
0.00787353515625,
0.0296630859375,
-0.020263671875,
0.00762939453125,
0.0166015625,
-0.0654296875,
-0.1103515625,
-0.05615234375,
0.052734375,
0.052001953125,
0.09228515625,
0.0009765625,
0.0859375,
-0... | 7,240 | 7240 | |
Small problem
October 27th 2010, 03:47 PM #1
Newbie
Joined
Aug 2010
Posts
2
Small problem
So I have this simple expression, which is part of long equation: sqrt(1-(r/R)^2)). By using r<<R1 and r<<R2 I can approximate and should end up with this expression: 1-1/2(r/R)^2.
It's one of those things I co... | 4 | [
0.00151824951171875,
-0.0211181640625,
0.0032958984375,
0.0859375,
0.0244140625,
-0.0703125,
-0.09521484375,
-0.0111083984375,
0.01953125,
0.029052734375,
-0.07763671875,
0.02490234375,
0.033203125,
0.09912109375,
-0.018310546875,
-0.0150146484375,
0.0390625,
-0.050537109375,
-0.... | 7,241 | 7241 | |
[SOLVED] Integral, checking a result
July 20th 2008, 02:12 PM
arbolis
[SOLVED] Integral, checking a result
I hope this time I didn't make an error. I also need your help for a possible little simplification.
$\int \sqrt{1-x^2}dx$ I call this integral $\Psi \Lambda \Xi$ for the sake of beautiful. I made a tri... | 5 | [
-0.00506591796875,
-0.0098876953125,
0.041748046875,
-0.0732421875,
-0.03173828125,
-0.041748046875,
-0.0634765625,
-0.01507568359375,
-0.07275390625,
0.0028533935546875,
0.0189208984375,
0.044677734375,
-0.058349609375,
-0.0189208984375,
-0.0419921875,
0.0150146484375,
0.02709960937... | 7,242 | 7242 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Reducing Incomparability in Cardinal comparisons
R... | 4 | [
0.020751953125,
0.0245361328125,
0.0223388671875,
-0.0235595703125,
-0.037841796875,
-0.00994873046875,
0.0107421875,
0.017333984375,
-0.0125732421875,
-0.046630859375,
-0.01092529296875,
0.055908203125,
0.0947265625,
0.0277099609375,
0.05517578125,
0.06884765625,
0.01483154296875,
... | 7,243 | 7243 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: compact
Replies: 9 Last Post: May 18, 2013 9:56 PM... | 4 | [
-0.0986328125,
0.0172119140625,
-0.018798828125,
-0.0272216796875,
0.046142578125,
0.04931640625,
0.07666015625,
-0.05029296875,
0.052978515625,
-0.0263671875,
0.0255126953125,
-0.0296630859375,
0.080078125,
0.015380859375,
0.00897216796875,
0.003204345703125,
-0.0311279296875,
-0.... | 7,244 | 7244 | |
CHANNEL ESTIMATOR WITH HIGH NOISE SUPPRESSION AND LOW INTERPOLATION ERROR FOR OFDM SYSTEMS
Patent application title: CHANNEL ESTIMATOR WITH HIGH NOISE SUPPRESSION AND LOW INTERPOLATION ERROR FOR OFDM SYSTEMS
Sign up to receive free email alerts when patent applications with... | 4 | [
-0.02490234375,
0.03662109375,
0.014892578125,
0.010498046875,
-0.0294189453125,
-0.0255126953125,
0.1083984375,
0.039794921875,
0.0185546875,
0.0014190673828125,
-0.095703125,
0.09521484375,
0.061279296875,
-0.0281982421875,
-0.076171875,
0.0230712890625,
0.08154296875,
0.05004882... | 7,245 | 7245 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: standard deviation of overlapping sums
Replies: 2 ... | 5 | [
-0.00174713134765625,
-0.08251953125,
0.05029296875,
0.0225830078125,
0.00531005859375,
0.03125,
-0.064453125,
0.0272216796875,
0.02783203125,
0.0020294189453125,
0.03857421875,
0.11181640625,
0.0537109375,
-0.059326171875,
0.003997802734375,
0.0032958984375,
0.04638671875,
-0.0410... | 7,246 | 7246 | |
Ordinals
October 11th 2009, 09:19 AM
chimp
Ordinals
Prove that if X is a nonempty set of ordinals, then $\bigcap X$ is an ordinal. Moreover, $\bigcap X$ is the least element of X.
Does anyone have any suggestions?
October 12th 2009, 07:50 PM
aliceinwonderland
Quote:
[Trichotomy of ordinals]
... | 5 | [
0.041015625,
0.0027008056640625,
0.130859375,
-0.0157470703125,
0.04150390625,
0.0537109375,
0.125,
0.037109375,
0.01055908203125,
0.03564453125,
-0.004180908203125,
-0.055908203125,
0.0537109375,
-0.0213623046875,
-0.01470947265625,
-0.003570556640625,
0.0036468505859375,
0.004302... | 7,247 | 7247 | |
Simple Topology Proof
August 8th 2012, 11:34 AM
Aryth
Simple Topology Proof
Suppose $U$ and $V$ are pointsets of $\mathbb{R}$. If $U$ and $V$ both have a leftmost point, prove that the union $U \cup V$ also has a leftmost point.
I can kind of see how this would be true, but I am having a lot of trouble form... | 4 | [
0.03466796875,
0.064453125,
0.04931640625,
0.00052642822265625,
0.078125,
0.09765625,
0.072265625,
-0.0213623046875,
-0.0201416015625,
-0.0301513671875,
-0.07666015625,
0.03564453125,
-0.020751953125,
0.031982421875,
0.030029296875,
-0.050048828125,
0.0322265625,
-0.046875,
0.024... | 7,248 | 7248 | |
little question on potential
March 20th 2007, 07:18 PM #1
Member
Joined
Nov 2005
Posts
111
little question on potential
Hi,
I am a little bit confused with how to find the electric potential everywhere.
I have this electric field:
E=x(x^2)+y(y^2)+z(2*z) where x,y,z are unit vectors.
Fin... | 5 | [
0.0004062652587890625,
0.061767578125,
0.015380859375,
-0.029541015625,
0.07421875,
-0.00921630859375,
0.052490234375,
0.0029449462890625,
-0.042236328125,
-0.0076904296875,
-0.039794921875,
0.00063323974609375,
0.003936767578125,
0.05517578125,
0.052001953125,
-0.0703125,
-0.0200195... | 7,249 | 7249 | |
Definite Integral
February 24th 2009, 05:09 AM
Macleef
Definite Integral
Please check my answers. Thank you.
Evaluate the given definite integral using the fundamental theorem of calculus. Round to 2 decimal places if needed.
$\int_{-4}^0 (2x + 6)^4\, dx$
$= \frac{1}{2} \frac{(2x + 6)^5}{5} |_0^{-... | 5 | [
0.0419921875,
-0.01275634765625,
-0.006683349609375,
-0.048828125,
0.0164794921875,
-0.00860595703125,
-0.0113525390625,
0.0810546875,
-0.05126953125,
0.04736328125,
0.0245361328125,
0.0027923583984375,
-0.01904296875,
-0.025146484375,
-0.0517578125,
0.0390625,
0.0103759765625,
-0.... | 7,250 | 7250 | |
characteristic function of triangular distribution
October 29th 2010, 05:55 AM #1
Member
Joined
Oct 2008
Posts
206
characteristic function of triangular distribution
Suppose I have:
$f(x)=(1-|x|)1_{(-1,1)}(x)$
I want to show that its characteristic function is:
$\varphi (u)= 2(1-cosu)/u^2$... | 5 | [
0.004730224609375,
0.033935546875,
0.047119140625,
-0.056884765625,
0.040771484375,
-0.048095703125,
-0.00750732421875,
-0.0004730224609375,
-0.0810546875,
0.010498046875,
0.1025390625,
-0.046875,
0.06640625,
0.00057220458984375,
-0.00099945068359375,
-0.10205078125,
0.01318359375,
... | 7,251 | 7251 | |
Product of a Sum and a Difference
What happens when you multiply the sum of two quantities by their difference? This calculation occurs so commonly in mathematics that it's worth memorizing a formula. Write the product as (a + b)(a –
b).
Now use the FOIL method to multiply the two binomials.
Notice that the middle t... | 4 | [
-0.0037841796875,
-0.00054931640625,
-0.04736328125,
-0.03173828125,
-0.0927734375,
0.032958984375,
0.03759765625,
-0.06396484375,
0.0439453125,
-0.005584716796875,
0.033203125,
-0.0009307861328125,
0.06884765625,
0.0262451171875,
0.03173828125,
0.06982421875,
-0.03125,
0.102050781... | 7,252 | 7252 | |
Math Help
June 8th 2010, 10:30 PM #1
Member
Joined
Mar 2006
Posts
125
MLE
Hi guys, I need advice regarding this question:
The height of students at university is a random variable from the N( $\mu$,25) distribution.
A sample of 100 students was taken, and it was found that k of them have a heig... | 5 | [
0.0380859375,
-0.01104736328125,
0.051025390625,
-0.08837890625,
-0.064453125,
-0.0250244140625,
0.07275390625,
0.026611328125,
-0.0419921875,
0.06640625,
0.1015625,
-0.061279296875,
0.099609375,
-0.041015625,
-0.015380859375,
0.06201171875,
0.052490234375,
0.07568359375,
-0.1245... | 7,253 | 7253 | |
Predicting Your Financial Future
Students often ask, “When are we ever going to use this?” Compound interest is a topic that provides an inherent answer to this question. In this activity, students use their knowledge of exponents
to compute an investment’s worth using a formula and a compound interest simulator. Stud... | 4 | [
0.03759765625,
0.0654296875,
-0.08544921875,
-0.011962890625,
0.01434326171875,
-0.006988525390625,
0.0035858154296875,
0.06298828125,
0.031005859375,
0.08349609375,
0.044189453125,
0.00299072265625,
-0.004241943359375,
0.02001953125,
0.0322265625,
0.0076904296875,
-0.049560546875,
... | 7,254 | 7254 | |
Question in Advanced Algebra
it suffices to exhibit just ONE counter-example, so let's pick an easy A to work with: let A = Z+Z, the direct sum of the additive group (Z,+), where Z is the integers we know and love. let f(m,n) =
(n,0). first, i show that f is indeed in End(A): f((m,n)+(m',n')) = f((m+m',n+n')) = (n+n',0... | 5 | [
-0.02685546875,
0.06396484375,
-0.030029296875,
0.0859375,
-0.07080078125,
0.06298828125,
0.0498046875,
-0.060791015625,
0.0028228759765625,
-0.107421875,
0.0517578125,
-0.072265625,
-0.064453125,
0.0164794921875,
-0.023193359375,
-0.00885009765625,
-0.056396484375,
0.036376953125,... | 7,255 | 7255 | |
Find point with two angles
January 30th 2011, 12:37 PM
desiderius1
Find point with two angles
Hello,
I am trying to a find a point on a x,y plane from two angles.
Let's say the X,Y plane is 1000 by 1000 and the point I am looking for is (700,300).
Angle from (0,0) to point is 23.2*
Angle from ... | 4 | [
-0.037109375,
0.003875732421875,
-0.09375,
-0.0751953125,
0.00653076171875,
0.0272216796875,
0.03125,
0.0211181640625,
-0.01202392578125,
-0.004058837890625,
0.07958984375,
-0.08349609375,
0.03369140625,
0.054931640625,
0.002777099609375,
0.01202392578125,
-0.041259765625,
-0.05761... | 7,256 | 7256 | |
Gamma variables and transformations
November 20th 2008, 07:51 AM #1
Newbie
Joined
Nov 2008
Posts
2
Gamma variables and transformations
If Y ~ N(m, s^2), find the distribution function and then the density function of U = e^Y. Either
from this or by using the moment generating function of Y, find the ... | 4 | [
0.033203125,
-0.00860595703125,
-0.0225830078125,
-0.058837890625,
0.0023651123046875,
-0.0296630859375,
0.020751953125,
-0.025390625,
-0.0240478515625,
-0.00830078125,
0.1015625,
0.07177734375,
0.02783203125,
0.049560546875,
0.03564453125,
-0.0279541015625,
-0.01251220703125,
-0.0... | 7,257 | 7257 | |
Definite integral problem
October 26th 2010, 03:10 AM
Glitch
Definite integral problem
The question:
Find $\int_{0}^{1} 2x(1 + x^2)^3 dx$
My attempt:
Let u = $1 + x^2$
$\frac{du}{dx} = 2x$
$du = 2x dx$
$\int_{0}^{1} u^3 du = _{0}^{1}[3u^2]$
Find bounds in terms of u...
Sub 1... | 5 | [
0.07177734375,
0.027099609375,
0.037841796875,
-0.0036163330078125,
-0.01519775390625,
-0.0712890625,
-0.01129150390625,
0.028076171875,
-0.0074462890625,
-0.0169677734375,
0.01226806640625,
-0.049560546875,
-0.03759765625,
0.047607421875,
-0.12255859375,
-0.020263671875,
-0.02075195... | 7,258 | 7258 | |
R
RINGS
Excerpted from Beachy/Blair, Abstract Algebra, 2nd Ed., © 1996
Chapter 5
Sections 5.1 through 5.4
Excerpted from Abstract Algebra II, © 1996 by John Beachy
Sections 5.5 through 5.8
Forward | Back | Table of C... | 4 | [
-0.068359375,
0.046142578125,
-0.09375,
0.0361328125,
-0.0185546875,
-0.038818359375,
0.0595703125,
0.0001811981201171875,
0.0213623046875,
-0.09130859375,
-0.06787109375,
0.036865234375,
0.10791015625,
-0.028076171875,
0.00469970703125,
-0.00567626953125,
0.00933837890625,
0.04541... | 7,259 | 7259 | |
History and Applications of the Natural Logarithm
Date: 03/02/98 at 11:45:35
From: Paula Fornwalt
Subject: history of e
We have been using e in continuous growth problems, where we are
examining the growth potential of natural disease populations. I'm so
surprised at how often this number comes up in other applicati... | 4 | [
-0.055419921875,
0.0294189453125,
0.00933837890625,
0.06201171875,
0.007659912109375,
-0.033203125,
0.0247802734375,
0.107421875,
0.068359375,
0.11572265625,
0.0002841949462890625,
0.014404296875,
-0.0159912109375,
0.0693359375,
-0.07568359375,
-0.0537109375,
-0.0966796875,
-0.0144... | 7,260 | 7260 | |
Proving the SST = SSE + SSR
November 9th 2010, 09:10 AM
Seda1
Proving the SST = SSE + SSR
I need help with this last part of this proof. This is my first time using the forums so I'm not sure how to write all the symbols but I will make it as clear as possible:
SST = SUM [(yi-yavg)^2]
SST = SUM [(yi-yav... | 4 | [
-0.0517578125,
0.0277099609375,
0.01171875,
0.025390625,
-0.037109375,
0.1015625,
0.06396484375,
-0.0185546875,
0.06884765625,
-0.040283203125,
0.04052734375,
-0.020751953125,
0.01068115234375,
0.041748046875,
0.0172119140625,
0.038818359375,
-0.053466796875,
0.00799560546875,
0.... | 7,261 | 7261 | |
area of a surface of revolution
May 21st 2010, 02:36 PM #1
Junior Member
Joined
Oct 2009
Posts
72
area of a surface of revolution
Find the area of the surface obtained by rotating the curve about the x-axis.?
y = sqrt(2 + 2 x)
3<=x<=11
I know that the formula used for this is S =(integra... | 5 | [
-0.007659912109375,
-0.049072265625,
0.00830078125,
-0.083984375,
0.017822265625,
-0.0185546875,
-0.052978515625,
0.06884765625,
-0.0546875,
0.006195068359375,
0.052978515625,
0.048095703125,
-0.021728515625,
0.00238037109375,
-0.01226806640625,
-0.006927490234375,
-0.025146484375,
... | 7,262 | 7262 | |
Z[i]-module Question
December 8th 2008, 06:03 PM
Erdos32212
Z[i]-module Question
Let $M$ be the $\mathbb{Z}[i]$-module generated by the elements $v_1$, $v_2$ such that $(1+i)v_1+(2-i)v_2=0$ and $3v_1+5iv_2=0$. Find an integer $r \geq 0$ and a torsion $\mathbb{Z}[i]$-module
$T$ such that $M \cong \mathbb{Z}[... | 5 | [
-0.0732421875,
0.05322265625,
-0.08837890625,
0.0166015625,
0.04638671875,
-0.07275390625,
0.08203125,
0.03466796875,
-0.0478515625,
-0.0478515625,
0.052978515625,
-0.04296875,
0.057373046875,
0.01495361328125,
0.0211181640625,
0.0027008056640625,
-0.013427734375,
0.0264892578125,
... | 7,263 | 7263 | |
help finding the basis of an eigen space
April 13th 2013, 04:11 AM #3
Newbie
April 12th 2013, 07:03 AM #2
Member
April 12th 2013, 06:57 AM #1
Member
Re: help finding the basis of an eigen space
also how did they know to create two separate vectors for s and t? Is it that a single variable goes for a single ... | 5 | [
-0.072265625,
-0.037841796875,
-0.07958984375,
-0.0115966796875,
0.052734375,
0.01171875,
0.0673828125,
-0.057373046875,
0.0234375,
-0.0106201171875,
0.07568359375,
-0.003692626953125,
0.03662109375,
-0.009765625,
-0.0021514892578125,
-0.040283203125,
-0.10302734375,
-0.04614257812... | 7,264 | 7264 | |
Math Help
January 14th 2007, 02:17 PM #1
u.........
Guest
help plese ;[
Another math problem im stuck on.
the price of a dress is reduced by 40%. when the dress still doesnt not sell, it is reduced by 40% again.
The reduced price after both reduction is $72.
What was the original price?
Hell... | 4 | [
0.060791015625,
0.138671875,
0.06298828125,
0.0751953125,
-0.056396484375,
0.01953125,
0.04541015625,
-0.006195068359375,
-0.03466796875,
0.08984375,
0.054443359375,
-0.00225830078125,
0.0634765625,
0.0380859375,
0.0262451171875,
0.044921875,
-0.04638671875,
0.1044921875,
-0.1240... | 7,265 | 7265 | |
Calculus - Lightbulbs
Hello, Fnus! We are told: . $I \:=\:\frac{kP}{d^2}$ Let $P$ be a point between the two sources. . . Let $x$ = distance from "40". . . Then $6-x$ = distance from "5". The total intensity is: . $I \;=
\;\frac{40k}{x^2} + \frac{5k}{(6-x)^2} \;=\;40kx^{-2} + 5k(6-x)^{-2}$ Then we have: . $I'\;=\;\frac... | 5 | [
-0.01611328125,
0.06640625,
0.034912109375,
0.04541015625,
0.000339508056640625,
-0.042236328125,
0.08837890625,
0.038818359375,
0.01080322265625,
-0.00482177734375,
0.06396484375,
-0.06298828125,
0.0654296875,
0.00421142578125,
-0.0238037109375,
0.064453125,
-0.024658203125,
0.037... | 7,266 | 7266 | |
minimisation question
February 5th 2010, 12:55 AM #1
Junior Member
Joined
Sep 2009
Posts
56
minimisation question
Suppose that $a\geq 0$. Find the least distance from the point [tex](a,0) to the ellipse $\frac{x^2}{4}+\frac{y^2}{1}=1$.
Well basically i used the distance formula, so $D=\sqrt{(x-a)^2+... | 5 | [
0.041748046875,
-0.0174560546875,
0.00921630859375,
-0.07763671875,
-0.0673828125,
0.0322265625,
-0.08740234375,
0.10107421875,
0.1171875,
0.0458984375,
0.080078125,
0.016845703125,
0.035400390625,
0.0284423828125,
-0.044677734375,
0.0439453125,
0.0615234375,
-0.076171875,
-0.010... | 7,267 | 7267 | |
Is this Right? Circular Motion Problem
January 4th 2009, 04:38 AM #1
Member
Joined
Jul 2008
Posts
78
Is this Right? Circular Motion Problem
Is my answer right?
A coin with a diameter of 2.4cm is dropped on edge onto a horizontal surface. The coin starts out with an initial angular speed of 18 rad/s ... | 4 | [
-0.0294189453125,
0.08642578125,
-0.005523681640625,
-0.049560546875,
0.020263671875,
-0.0260009765625,
-0.08544921875,
0.049072265625,
0.0078125,
-0.03662109375,
0.058349609375,
-0.0005645751953125,
-0.0281982421875,
0.013671875,
0.01080322265625,
0.060791015625,
-0.06640625,
0.06... | 7,268 | 7268 | |
Please help Area Between curves
first, find where the curves intersect. by setting them equal to each other and solving for x. let's say they intersect for $x = a$ and $x = b$, where $a<b$. then these are your limits of
integration. now we need to check which graph is above which. you can simply plug in a value between... | 5 | [
0.01336669921875,
-0.0235595703125,
-0.016845703125,
-0.0966796875,
-0.07568359375,
-0.060302734375,
-0.00014209747314453125,
0.0869140625,
-0.037109375,
-0.0015869140625,
0.01287841796875,
0.046875,
0.07861328125,
0.0098876953125,
0.06689453125,
0.0927734375,
0.036376953125,
0.003... | 7,269 | 7269 | |
[Numpy-discussion] weighted mean; weighted standard error of the mean (sem)
[Numpy-discussion] weighted mean; weighted standard error of the mean (sem)
Erin Sheldon erin.sheldon@gmail....
Thu Sep 9 21:38:18 CDT 2010
Excerpts from cpblpublic's message of Thu Sep 09 22:22:05 -0400 2010:
> I am looking for some reaally ... | 4 | [
-0.0693359375,
-0.0279541015625,
0.02197265625,
0.0419921875,
-0.0712890625,
-0.1005859375,
-0.052490234375,
0.07177734375,
-0.0169677734375,
-0.0230712890625,
-0.0196533203125,
-0.0235595703125,
0.06982421875,
-0.0174560546875,
-0.0022430419921875,
-0.0128173828125,
0.01263427734375... | 7,270 | 7270 | |
differentiability and continuity
November 18th 2010, 08:41 AM
DontKnoMaff
differentiability and continuity
(a) Suppose that $f: \Re\rightarrow\Re$is differentiable and, that $f(x)/x\rightarrow 0$ as $x\rightarrow\infty$. Prove that, if $f'(x)\rightarrow k$ as $x\rightarrow\infty$, then $k=0$.
(b) Give an exa... | 5 | [
-0.052490234375,
-0.0023345947265625,
0.0067138671875,
-0.055419921875,
0.01318359375,
-0.03857421875,
0.061767578125,
-0.032958984375,
-0.0101318359375,
0.07421875,
0.1240234375,
0.037353515625,
0.044921875,
-0.0810546875,
-0.01806640625,
0.034912109375,
0.1083984375,
0.0588378906... | 7,271 | 7271 | |
high school / calculus
January 30th 2007, 05:44 PM
philipsk
high school / calculus
I have received help from many of you last time i requested help and i thank you all for helping me out and not making me look like a fool in front of my child :) but now he needs my help again
and he's giving me a few problem... | 5 | [
-0.0224609375,
0.0859375,
0.04638671875,
-0.031982421875,
-0.06591796875,
-0.000701904296875,
0.0177001953125,
0.0517578125,
-0.07421875,
0.01953125,
0.05029296875,
-0.013427734375,
-0.00909423828125,
0.11865234375,
-0.050048828125,
0.09130859375,
-0.06591796875,
0.043701171875,
... | 7,272 | 7272 | |
xn->a, yn->b imply d(xn, yn)->d(a,b)
February 21st 2010, 07:05 PM #1
Senior Member
Joined
Jan 2009
Posts
404
xn->a, yn->b imply d(xn, yn)->d(a,b)
Let (x_n) and (y_n) be sequences in a metric space X. Suppose that x_n converges to a and y_n converges to b. Prove that d(x_n, y_n) converges to d(a, b).
... | 5 | [
-0.10302734375,
-0.06787109375,
0.01446533203125,
-0.1396484375,
-0.064453125,
0.064453125,
0.043701171875,
0.00543212890625,
0.00860595703125,
-0.08837890625,
0.06005859375,
0.0181884765625,
-0.04150390625,
0.0205078125,
0.052001953125,
0.01226806640625,
0.0189208984375,
-0.040771... | 7,273 | 7273 | |
Differentiation question
October 15th 2008, 07:25 PM #1
Newbie
Joined
Oct 2008
Posts
3
Differentiation question
The equation of a curve is xy(x+y)=2(a)^3 where a is a non-zero constant. show that there is only one point on the curve at which the tangent is parallel to the x-axis, and find the coordinates... | 4 | [
-0.00433349609375,
-0.0517578125,
-0.0294189453125,
-0.0242919921875,
0.01226806640625,
0.08740234375,
-0.00165557861328125,
-0.01373291015625,
0.04052734375,
0.00286865234375,
0.138671875,
0.022705078125,
0.017822265625,
-0.0294189453125,
0.043701171875,
0.111328125,
-0.11767578125,... | 7,274 | 7274 | |
Proof of Pythagorean Theorem: Pythagoras' Reasoning
Date: 02/23/98 at 11:49:20
From: Pat Hagedorn
Subject: Geometry
I would like to know how Pythagoras reasoned his theorem. What he drew
on and how he came to figure it out. Why does it work the way that it
does? For example: say the hypotenuse is 20", the other know... | 4 | [
0.005950927734375,
0.10986328125,
-0.017333984375,
0.027587890625,
0.029296875,
0.0189208984375,
-0.038818359375,
0.0869140625,
0.03466796875,
0.0294189453125,
0.0021514892578125,
0.0615234375,
0.000637054443359375,
0.0927734375,
0.0030670166015625,
-0.0274658203125,
-0.06103515625,
... | 7,275 | 7275 | |
The Kakeya problem in finite fields
The Kakeya problem, in its best known formulation, is the following. Let $E \subset {\bf R}^n$ be a set which contains a translate of every unit line segment; equivalently, for every direction $e\in
S^{n-1}$, $E$ contains a unit line segment parallel to $e$. An $n$-dimensional ball o... | 4 | [
-0.01031494140625,
0.05615234375,
-0.004119873046875,
-0.042236328125,
-0.03759765625,
0.03369140625,
0.0361328125,
0.03173828125,
0.04345703125,
-0.0245361328125,
-0.051025390625,
-0.030517578125,
-0.00653076171875,
-0.032958984375,
-0.019287109375,
-0.060791015625,
0.00179290771484... | 7,276 | 7276 | |
Limit of Sequence
Let $u_n :=\frac{(n!)^2}{(2n)!}eq 0$. Since $\lim_{n\to\infty}\frac{u_{n+1}}{u_n}=\frac 14$, the limit of the sequence $\{u_n\}$ is $0$. Maybe it will be more interesting to look at $\lim_{n\to +\
infty}\frac{4^n(n!)^2}{(2n)!}$.
Another tricky way is to test the convergence of the corresponding serie... | 5 | [
0.01611328125,
-0.058837890625,
-0.052001953125,
0.0205078125,
-0.01611328125,
-0.00201416015625,
-0.048583984375,
-0.050537109375,
0.045166015625,
-0.0072021484375,
0.06640625,
-0.06982421875,
-0.115234375,
0.05859375,
-0.047119140625,
-0.033935546875,
0.031982421875,
-0.042236328... | 7,277 | 7277 | |
Proofs of Distributing Exponents and Radicals
In my introductory algebra classes these days, I've switched to providing actual proofs for major principles after about the halfway point in the class. As usual, the point of this is (a) to prepare
students for what real math classes are like, and (b) provide insight into ... | 4 | [
-0.111328125,
-0.0223388671875,
-0.021728515625,
0.08154296875,
0.0235595703125,
-0.056396484375,
0.01165771484375,
-0.016845703125,
0.052490234375,
0.07861328125,
0.038818359375,
0.054443359375,
0.041259765625,
0.08251953125,
0.039794921875,
0.017333984375,
-0.058349609375,
0.0756... | 7,278 | 7278 | |
help with defining a relation ~ on Z_p
October 16th 2012, 06:58 PM
bskcase98
help with defining a relation ~ on Z_p
The question is as follows:
Define a relation ~ on Z[p] where p is an odd prime, as follows: [a][p] ~ [b][p] if 2^ia = b mod p for some i in N. show that ~ is an equivalence relation on Z[p]
... | 5 | [
-0.0517578125,
-0.02001953125,
0.03076171875,
0.021484375,
0.0233154296875,
-0.046630859375,
0.099609375,
0.06005859375,
-0.055908203125,
0.0029754638671875,
-0.01190185546875,
-0.05712890625,
0.083984375,
0.039306640625,
0.072265625,
0.055908203125,
0.0140380859375,
-0.04296875,
... | 7,279 | 7279 | |
Common Logarithims and Natural Logarithims
Date: 03/13/2005 at 13:18:50
From: Katie
Subject: Common logarithims vs. Natural logarithims
I am currently studying logarithims and I saw that logarithims can
take the form of ln or log. What is the difference between the two?
I think it's very confusing because I looked ... | 4 | [
-0.02197265625,
-0.076171875,
0.09130859375,
0.00244140625,
0.045166015625,
-0.064453125,
0.0177001953125,
0.0228271484375,
0.06982421875,
0.080078125,
0.10595703125,
0.0169677734375,
-0.005462646484375,
0.045166015625,
0.00083160400390625,
0.014404296875,
-0.16015625,
-0.009094238... | 7,280 | 7280 | |
uniqueness of linear map
January 3rd 2009, 07:46 AM
James0502
uniqueness of linear map
I have a set of 4 vectors (a1,a2,a3,a4) in R3 and a set of 4 vectors (b1,b2,b3,b4)in R4. I need to show that there is precisely one linear map f: R3 --> R4 with f(ai) = bi
a1 = (1,0,0)
a2= (0,1,0)
a3 = (0,0,1)
... | 5 | [
0.0194091796875,
-0.00885009765625,
-0.076171875,
-0.078125,
-0.016357421875,
0.01708984375,
0.037109375,
-0.09326171875,
-0.046875,
-0.052490234375,
-0.004364013671875,
-0.0308837890625,
0.060302734375,
-0.01544189453125,
-0.10009765625,
0.06201171875,
-0.01177978515625,
-0.019165... | 7,281 | 7281 | |
Fibonacci, proof with induction
August 26th 2008, 06:38 PM
dill_day
Fibonacci, proof with induction
Hello, I think I am getting stuck; I would really appreciate any help or advice!
Prove by induction that ${Fib}_n \geq 2^{n/2}$ for $n \geq 6$
To start , prove the base case of $n = 6$:
${Fib}_6 = 8... | 5 | [
0.0004730224609375,
0.00921630859375,
0.0308837890625,
0.0230712890625,
0.00830078125,
0.00396728515625,
-0.080078125,
0.1298828125,
0.0283203125,
0.01055908203125,
-0.10791015625,
-0.0284423828125,
-0.09765625,
-0.0185546875,
-0.03564453125,
0.057373046875,
-0.0439453125,
-0.03222... | 7,282 | 7282 | |
Derivatives of trig functions
November 12th 2010, 05:28 AM
brennon
Derivatives of trig functions
Having a ball teaching myself calculus for DSP...
I'm working with derivatives of trig functions. I'm trying to solve the following limit:
$\lim_{x\rightarrow 0} \frac{x \csc 2x}{\cos 5x}$
My first tho... | 5 | [
-0.1044921875,
-0.0162353515625,
0.044189453125,
0.078125,
0.0234375,
0.032470703125,
0.00127410888671875,
-0.0172119140625,
0.00921630859375,
0.042236328125,
0.08154296875,
-0.099609375,
-0.0068359375,
0.01507568359375,
0.025390625,
0.043701171875,
-0.0037384033203125,
-0.01904296... | 7,283 | 7283 | |
help on relation
February 2nd 2009, 05:57 AM
anon18
help on relation
could anyone help with any part of this i think part 3 and 5 are symmetric im not sure about the rest
February 3rd 2009, 09:44 AM
stapel
The image contains the following text:
Quote:
Which of the following relations R on sets ... | 4 | [
-0.05224609375,
-0.00970458984375,
0.0169677734375,
-0.023681640625,
-0.0091552734375,
0.0546875,
0.09326171875,
-0.0074462890625,
-0.045654296875,
-0.0390625,
0.031982421875,
-0.04052734375,
0.07421875,
0.003997802734375,
0.00970458984375,
0.004913330078125,
0.050048828125,
-0.046... | 7,284 | 7284 | |
Area between Curves
July 5th 2010, 02:17 PM #1
Newbie
Joined
Jun 2010
Posts
4
Area between Curves
Not sure where to even start
Find the area of the region in the first quadrant bounded by the curves y^2=7x, y^2=8x, x^2=4y, x^2=5y
start with a sketch of the graphs and identify the region ... loo... | 5 | [
0.055908203125,
-0.06103515625,
0.06005859375,
-0.00075531005859375,
-0.0546875,
-0.028076171875,
-0.0693359375,
0.1025390625,
0.00112152099609375,
0.0026702880859375,
0.0135498046875,
0.0286865234375,
0.039306640625,
0.03759765625,
-0.01483154296875,
0.08544921875,
-0.04052734375,
... | 7,285 | 7285 | |
Selberg sieve variational problem
From Polymath1Wiki
(Difference between revisions)
Teorth Teorth
( (
Talk ... | 4 | [
-0.004486083984375,
0.0272216796875,
0.154296875,
-0.022216796875,
-0.01904296875,
0.003448486328125,
0.037109375,
0.09375,
-0.0419921875,
-0.052490234375,
-0.0027923583984375,
0.0264892578125,
-0.05126953125,
-0.033203125,
-0.0098876953125,
-0.031005859375,
0.017333984375,
-0.0305... | 7,286 | 7286 | |
Some parallels between classical and quantum mechanics
Introduction
This isn't really a blog post. More of something I wanted to interject in a discussion on Google plus but wouldn't fit in the text box.
I've always had trouble with the way the
Legendre transform
is introduced in classical mechanics. I know I'm not... | 4 | [
-0.1396484375,
0.009521484375,
0.06884765625,
0.01165771484375,
-0.04931640625,
0.05224609375,
-0.057373046875,
0.12158203125,
0.0380859375,
0.019775390625,
-0.047607421875,
0.05126953125,
-0.056396484375,
-0.002532958984375,
0.041748046875,
-0.05224609375,
0.0291748046875,
0.03125... | 7,287 | 7287 | |
How to show int (sinx /x) dx (x-0..infinity) is convergent
September 6th 2012, 08:44 PM
kyb03316
How to show int (sinx /x) dx (x-0..infinity) is convergent
I'm 16 years old in south korea. In this semester, I learn advanced calculus 2 ( technique of integration ~infinite series.. in stewart calculus)
Today ... | 5 | [
-0.025634765625,
-0.01373291015625,
0.0029449462890625,
-0.00439453125,
-0.0274658203125,
-0.02587890625,
-0.035400390625,
0.013671875,
-0.020751953125,
-0.00848388671875,
0.0289306640625,
-0.01507568359375,
-0.00096893310546875,
0.05859375,
-0.046875,
-0.1142578125,
0.06689453125,
... | 7,288 | 7288 | |
Complex Mapping
September 5th 2009, 01:05 PM #1
Newbie
Joined
Jan 2009
Posts
3
Complex Mapping
Find the image of the following region:
under the action of
$f(z)=e^{\bar{z}}$
(e raised to z conjugate)
I am lost on this one. Thanks for any advice with this one.
Let $\psi$ be the ... | 4 | [
-0.060791015625,
0.0123291015625,
-0.0380859375,
-0.08447265625,
0.017333984375,
-0.0126953125,
0.0296630859375,
0.01422119140625,
-0.03125,
0.028076171875,
0.0966796875,
-0.0380859375,
0.019287109375,
0.043701171875,
0.0771484375,
-0.016357421875,
-0.076171875,
-0.080078125,
-0.... | 7,289 | 7289 | |
Help me study for my test tomorrow!
October 14th 2009, 05:17 PM #1
Junior Member
Joined
Oct 2009
Posts
29
Help me study for my test tomorrow!
Tomorrow's my test and there are a few concepts that I have to work on.
1. Sketch the region bounded by the graphs of the equations, and determine its area.
... | 5 | [
0.0225830078125,
-0.0947265625,
0.0322265625,
-0.0289306640625,
-0.025146484375,
0.00799560546875,
-0.000362396240234375,
0.06298828125,
-0.01806640625,
0.0179443359375,
0.0302734375,
0.02490234375,
0.0106201171875,
-0.00482177734375,
-0.0189208984375,
0.025390625,
-0.038330078125,
... | 7,290 | 7290 | |
Math Help
June 10th 2009, 12:51 PM #1
Half Life
This one is half-life I know but I cannot figure out how to go through it, it isn't finding the amount so none of the examples my teacher gave me can show how to move things around...any help is
appreciated.
The half-life of sulfur-138 is 4 days. After 12 ... | 4 | [
-0.002410888671875,
0.07763671875,
0.04150390625,
0.020751953125,
-0.0194091796875,
-0.0234375,
-0.019287109375,
0.058349609375,
-0.06298828125,
0.053466796875,
0.0869140625,
-0.0220947265625,
-0.0196533203125,
0.00274658203125,
-0.031005859375,
0.01129150390625,
-0.06005859375,
-0... | 7,291 | 7291 | |
Changing the space of test functions in PDEs
up vote 2 down vote favorite
Let $V \subset H \subset V'$ be a Hilbert triple.
We can define a weak derivative of $u \in L^2(0,T;V)$ as the element $u' \in L^2(0,T;V')$ satisfying $$\int_0^T u(t)\varphi'(t)=-\int_0^T u'(t)\varphi(t)$$ for all $\varphi \in C_c^\infty(0,T)$.... | 5 | [
-0.0172119140625,
0.0498046875,
0.09375,
0.038818359375,
0.031005859375,
0.053466796875,
-0.045166015625,
0.0478515625,
-0.0250244140625,
-0.02099609375,
0.011962890625,
0.01251220703125,
-0.00927734375,
-0.037841796875,
-0.01806640625,
0.0164794921875,
-0.01251220703125,
-0.033203... | 7,292 | 7292 | |
Do you know how to construct a compact hyperbolic 3-manifold with three or four totally geodesic boundary components?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Do you know how to construct a compact hyperbolic 3-manifol... | 4 | [
0.00897216796875,
-0.04443359375,
-0.0234375,
-0.07958984375,
-0.036865234375,
-0.0196533203125,
-0.024169921875,
-0.0322265625,
0.011962890625,
-0.052001953125,
-0.036865234375,
-0.06640625,
0.03271484375,
-0.016845703125,
0.07568359375,
-0.08056640625,
-0.0751953125,
0.0407714843... | 7,293 | 7293 | |
vector analysis integrals
November 29th 2007, 01:22 PM
universe09
vector analysis integrals
question.
if F(x,y) = f(x,y)i + g(x,y)j
f and g are continuous on an open connected region D.
a) what can you say about the work integrals of F along paths in D if
F = del(phi ), for some function phi(x,... | 4 | [
-0.017578125,
-0.0062255859375,
0.0079345703125,
-0.1005859375,
0.0159912109375,
0.0002079010009765625,
0.03369140625,
-0.0064697265625,
-0.0341796875,
0.07275390625,
0.027587890625,
0.06591796875,
-0.03271484375,
0.031005859375,
0.014892578125,
-0.0201416015625,
-0.064453125,
0.01... | 7,294 | 7294 | |
Euclidean Algorithm - Linear Combination
September 26th 2008, 06:11 AM
Paperwings
Euclidean Algorithm - Linear Combination
Problem:
Use the Euclidean Algorithm, find the gcd of 330 and 126 and write it as a linear combination of the two numbers.
===============
Attempt:
Using the Euclidean Algor... | 4 | [
-0.0244140625,
0.0019073486328125,
-0.0712890625,
-0.08642578125,
-0.002685546875,
-0.021484375,
0.00811767578125,
-0.00732421875,
-0.04296875,
0.044189453125,
0.0289306640625,
0.0810546875,
0.06298828125,
-0.08203125,
-0.037353515625,
0.0157470703125,
-0.058349609375,
0.0301513671... | 7,295 | 7295 | |
Optimization Problem?
March 31st 2010, 12:11 PM
NFZ17
Optimization Problem?
Hello All,
I'm stuck on this one!
I am planning to close off a corner of the first quadrant with a line segment 20 units long running from (a,0) to (0,b). I need to show that the area of the triangle is largest when a=b.
I... | 5 | [
-0.006988525390625,
0.0908203125,
-0.020263671875,
-0.0537109375,
-0.03173828125,
-0.01385498046875,
-0.00848388671875,
0.072265625,
-0.0186767578125,
0.0576171875,
-0.0234375,
0.055419921875,
0.02978515625,
0.0595703125,
0.0380859375,
0.1572265625,
0.020751953125,
-0.052978515625,... | 7,296 | 7296 | |
Equation of tangent line to curve
October 25th 2009, 08:52 PM #1
Member
Joined
Nov 2008
Posts
76
Equation of tangent line to curve
The curve r(t) passing through the point (1,1,1) is defined implicitly by the equations:
x^2y + y^2x + xyz + z^2 = 4
x + y + z = 3
Find the equation of the tang... | 5 | [
-0.07861328125,
-0.000965118408203125,
-0.0634765625,
0.006317138671875,
0.004638671875,
0.044189453125,
0.060546875,
0.01116943359375,
-0.083984375,
-0.00775146484375,
0.01611328125,
-0.07421875,
0.0771484375,
0.005615234375,
-0.05078125,
0.005218505859375,
-0.13671875,
-0.0478515... | 7,297 | 7297 | |
More factorising with common factor
January 8th 2009, 10:11 PM #1
Junior Member
Joined
Oct 2007
Posts
73
More factorising with common factor
Thank you so much for your help with that one, I have one more if you don't mind, having trouble with this as well.
(2p-1)(p+3) + (7p+4)(p+3)
I know they ... | 4 | [
-0.005126953125,
0.021484375,
0.034912109375,
-0.01171875,
0.041015625,
0.06396484375,
0.020751953125,
-0.00775146484375,
-0.1328125,
0.024169921875,
-0.00347900390625,
-0.037353515625,
0.03271484375,
0.04443359375,
-0.007080078125,
-0.0240478515625,
-0.1181640625,
0.08349609375,
... | 7,298 | 7298 | |
end diff equations,check and express y
March 5th 2009, 06:37 AM
fiksi
end diff equations,check and express y
(x2 + xy) dy/dx = y2 + xy +x2. Soroban helped me with this one, I get, after substitution and all, y2/x2 + 2(y/x)= 2 logx + c. Is this correct? condition for c is y(1)=1. The problem is, how do I
expr... | 5 | [
-0.056640625,
-0.0086669921875,
0.0029144287109375,
0.03662109375,
0.068359375,
-0.091796875,
0.00555419921875,
0.032470703125,
-0.01336669921875,
-0.02587890625,
0.07080078125,
-0.0654296875,
-0.04248046875,
0.07861328125,
0.02978515625,
0.0771484375,
-0.09619140625,
-0.0016937255... | 7,299 | 7299 |