content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
3D Geometry
Date: 11/17/97 at 10:10:54
From: Tim Fallon
Subject: 3d geometry
Given two lines in 3space, you can draw a line of minimum distance
between the two. This line will be perpendicular to both lines.
I know how to get the distance and direction of this line, but I want
to locate the line in 3space so that I ... | 5 | [
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0.0157470703125,
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0.07080078125,
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0.0211... | 7,000 | 7000 | |
Dividing 29/49
Date: 08/30/97 at 12:31:03
From: Fredericks
Subject: Division help
I need to divide 29/49 out until it repeats itself or terminates.
I also need to do 30/49, 31/49, 32/49, 33/49, 34/49, 35/49.
Is there a way to figure these problems out without doing them by
long division?
Thank you!
Date: 09/04/97... | 5 | [
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Lesson 6: The Halting Problem
Previous Lesson | Next Lesson
Last lesson we learned about using reductions to show problems are hard. Now consider the most famous of undecidable problems, the halting problem:
L[H] = {<M> | <M> eventually halts with b... | 4 | [
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Value of 9^(9^9)?
Date: 10/21/2002 at 20:59:03
From: Stephen W.
Subject: Value of 9^(9^9)?
A kid in my class came in one day and asked my teacher, "What is the
largest possible number that can be made with 3 digits?" I answered
9 to the 9 to the 9. I was correct.
Today the teacher asked me to figure out 9 to the 9 t... | 5 | [
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Equation of a Triangle
An ellipse can be expressed as the locus of points with orthogonal coordinates (x,y) such that (x/a)^2 + (y/b)^2 = 1 for some constants a,b. However, it's more difficult to give a succinct
description of a piece-wise linear curve, e.g., a triangle. We seek a function f() such that f(x,y) = 0 i... | 4 | [
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Combinatorics
November 24th 2008, 05:13 PM #1
Junior Member
Joined
Nov 2008
Posts
53
Combinatorics
27. a) In how many ways can a committee of 3 be chosen from an organization with 12 members?
My answer: Number of Ways (12 3) = 220 ways
b) In how many ways can a president, vice-president, and tr... | 4 | [
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-0... | 7,005 | 7005 | |
AS.AQA.Page.220.Revision Exercise.Q8.Q19.Trigonometry.
March 16th 2010, 10:41 AM #1
Junior Member
Joined
Nov 2009
Posts
28
AS.AQA.Page.220.Revision Exercise.Q8.Q19.Trigonometry.
Q8.
a)i)Express in sin^2 x in terms of cosX.
ii) By writing cosX=Y show that the equation 7cosX + 2 - 4 sin^2 x = 0 is ... | 4 | [
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Using elementary taylor series for taylor polynomial
April 3rd 2008, 01:50 PM
emttim84
Using elementary taylor series for taylor polynomial
Ok, so the problem is to use a sixth-degree Taylor polynomial centered at c for the function f to obtain the required approximation. Here's the info:
Function: $f(x)=x^... | 5 | [
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Is there any way to find arithmetic mean "better" than sum()/N?
up vote 13 down vote favorite
7
Suppose we have N numbers(integers, floats, whatever you want) and want to find their arithmetic mean. Simplest method is to sum all values and divide by number of values:
def simple_mean(array[N]): # pseudocode
sum = ... | 4 | [
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0.06982... | 7,008 | 7008 | |
Addition Formula question expressing function in terms of Rsin(a+b)
June 4th 2011, 03:16 AM #1
Newbie
Joined
May 2011
Posts
23
Addition Formula question expressing function in terms of Rsin(a+b)
I don't know where I'm going wrong. The answer at the end is supposed to be "tan a= 3/4" but going through it ... | 4 | [
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0.006622314... | 7,009 | 7009 | |
Building a Manger
Date: 12/03/2001 at 22:39:44
From: Anne Markle
Subject: Angles for a building
I am building a manger with a base of 11" (A), one wall 7 1/2" high
(B) and the other wall 6" high (C). Both walls meet the base at
90-degree angles. My question is:
What would the length of my roof be and what would be ... | 4 | [
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Confused about multiplication rule.
October 7th 2008, 01:38 PM #1
Newbie
Joined
Oct 2008
Posts
2
Confused about multiplication rule.
Here is the problem I have...
A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 92% of the time if the person ha... | 5 | [
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Another limit question
lim as h -> 0 (6 + h) to the power of 3 subtract 216 divided by h Any help?
You can expand $(6+h)^3$ or take advantage of property $a^3-b^3=(a-b)(a^2+ab+b^2)$ on numerator.
This is apparently $\lim_{h \to 0} \frac{(6 + h)^3 - 216}{h}$ Expand the cubic: $= \lim_{h \to 0} \frac{(216 + 108h + 18h^... | 4 | [
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[SOLVED] Checking Inequalities
April 12th 2010, 11:22 AM #1
Newbie
Joined
Apr 2010
Posts
3
[SOLVED] Checking Inequalities
Sorry I'm quite bad at maths, but wanted to find out
a) 4^(x - 1) + 0.5 = (3/4).2^x
and
b) 4/(x - 6) > 5
thanks
The first one is an equation, not an inequalit... | 4 | [
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Numerically integrating a non-linear DE
May 3rd 2010, 02:23 AM #1
Junior Member
Joined
Apr 2010
Posts
26
Numerically integrating a non-linear DE
Given a DE $y'=f(t,y), \: t>0$ for a function $y(t)$ with IC $y(0)=y_0$. We have the numerical integration method
$w_{n+1}=w_n+hf(t_n+\alpha h,w_n + \alpha... | 4 | [
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Money Math-Trick Question
August 13th 2011, 01:25 PM
KayPee
Money Math-Trick Question
Kane has $50.00. He goes to the supermarket and buys football boots and then he buys a soccer ball, which is half the price of the football boots.He then spends half of what she has left on a
belt, leaving him with $15.00.
... | 4 | [
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[SOLVED] Geometric Interpretation
January 22nd 2008, 04:25 PM #1
[SOLVED] Geometric Interpretation
I suppose this might fall under the heading of Pre-Calc, but since I got it out of a book on Complex Analysis I thought I'd put it here.
The problem is this:
Prove the identity:
$|z_1 + z_2| ^2 + |z_1 ... | 4 | [
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HCF and Dividing Numbers
November 10th 2007, 02:23 PM #1
Junior Member
Joined
Oct 2007
From
Bath, UK
Posts
25
HCF and Dividing Numbers
Prove that xa+yb=c has integer solution x, y iff hcf(a,b)|c.
I have to prove this both ways, because of the iff statement. So first, I let d = hcf(a,b) and assum... | 5 | [
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Triangle hydrostatic force!
June 24th 2008, 02:03 PM #1
Member
Joined
Jun 2008
Posts
87
Triangle hydrostatic force!
A triangular plate with height 4 ft and a base of 5 ft is submerged vertically in water so that the top is 2 ft below the surface. Express the hydrostatic force against one side of the plat... | 4 | [
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Writting Linear Functional as Direct Sum.
February 28th 2010, 01:57 AM #1
Linear Functionals and Direct Sums.
Hi everyone
Sorry about the goofy thread title, it should read "Linear Functionals and Direct Sums".
Let $V$ be a finite-dimensional vector space over the field of scalars $F$, and $T$ a linear ... | 5 | [
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Proof with transpose - I think this is right
March 14th 2011, 02:32 PM #1
Member
Joined
Oct 2009
Posts
128
Proof with transpose - I think this is right
Hello everyone. I've got a proof done. May someone please just do a scan of the proof to see if it's correct?
Prove:
$(AB)^T$ is nonsingular
... | 5 | [
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L'Hospital's Rule Square Root Problem
November 9th 2012, 02:41 PM
Jason76
L'Hospital's Rule Square Root Problem
Find the limit as x approaches 1.
Step 1)
Plug in 1 into x.
$\frac{x - 1}{\sqrt{x^{2} + 3} - 2}$
This come out to being indeterminate or 0/0.
So taking the rule:
Step 2). ... | 5 | [
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[SOLVED] algebra
how do you solve 1/x=1/t + 1/r ?? and -4<2 (x-3)< 8
dyr Hello, to 1.: You need a common denominator (which is here r*t): $\frac{1}{x}=\frac{r+t}{r \cdot t}\ \Rightarrow \ x=\frac{r \cdot t}{r+t}$ to 2.: Split the inequalities into two single
inequalities: $-4<2 (x-3)< 8\ \Leftrightarrow \ -4<2(x-3)\ \... | 4 | [
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Please, could someone help me with this Optimization problem?
What is the largest possible area for a triangle whose hypotenuse is 5cm. long?
Re: Please, could someone help me with this Optimization problem?
Since it has a hypotenuse, we'll assume that it's right-angled. Call the base of the triangle \displaystyle \b... | 5 | [
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Divergence Theorem, vector fields ..........
Let me try... First we need to find, $\mbox{div} \b{F}=2x-1$ And $S$ is a box. Thus, $\int_0^3 \int_0^1 \int_0^2 2x-1 dz\, dy\, dx$ Thus, $\int_0^3 \int_0^1 4x-2 dy\, dx$ Thus, $\int_0^3 4x-2 dx$
Thus, $2(3)^2=18$
Question 2] You are given, $\b{V}=<e^x\cos y,-e^x\sin y,0>$ ... | 5 | [
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Just another integration problem
November 21st 2006, 03:19 AM
taryn
Just another integration problem
integral (x^6)ln(x)dx
The thing is... I have the exam in 2 days and this is the main thing I am havin problems with!
I tried makin u=x^6
and then integratin by parts which didnt seem to work!
I... | 5 | [
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Rotation of a triangle
February 17th 2014, 06:41 AM #1
Newbie
Joined
Feb 2014
From
England
Posts
24
Rotation of a triangle
A triangle has vertices at the points
A(−6, 9), B(6, 3) and C(9,−6).
Suppose that the triangle is to be moved so that
B is at the origin
and
BC lies along the... | 4 | [
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-0.0294189453125,
0.01239013671875,
-0.028564453125,
-0.10302734375,
0.026245117187... | 7,026 | 7026 | |
equation of the normal line at a given point
September 28th 2013, 03:57 PM
Jonroberts74
equation of the normal line at a given point
I am not getting the same answer as the book for this question. it is to find the equation of the normal line at the given point
y = 2x^(3) + x^(-3) where x = -1
I solved... | 4 | [
-0.1181640625,
-0.047607421875,
-0.052001953125,
0.01373291015625,
0.04443359375,
0.0223388671875,
-0.012451171875,
0.00653076171875,
0.002410888671875,
-0.0028839111328125,
0.1240234375,
-0.0380859375,
0.07958984375,
-0.007171630859375,
-0.0017242431640625,
0.041748046875,
-0.121582... | 7,027 | 7027 | |
Find the standard matrix of an orthogonal projection
April 22nd 2010, 11:27 PM #1
Newbie
Joined
Apr 2010
Posts
6
Find the standard matrix of an orthogonal projection
Problem 4. Let W = Span[w1; w2], where
w1 = [3 0 4]
w2 = [4 5 -3]
If T (from R^3 to R^3) is the orthogonal projection onto W, ... | 5 | [
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0.00848388671875,
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... | 7,028 | 7028 | |
Help with ideal proof
October 27th 2006, 07:35 AM
BenWong
Help with ideal proof
Yo. New to the board. Just looking for some help.
Let F be a field. Prove that the ring M2(F) of 2 x 2 matrices with entries in F has no non-trivial ideals. That is, every ideal is either the zero ideal or M2(F) itself.
Any... | 5 | [
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0.012817... | 7,029 | 7029 | |
MGF Problem
May 19th 2008, 12:44 PM
statsnewbie
MGF Problem
Hi
Can someone help with the pointing me in right direction with the following
"Use the MGF to compute the mean and variance of the distribution of x which has the following probability distribution
f(x) = x+1/14 if x=1,2,3,4
Many th... | 5 | [
-0.06201171875,
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0.010131835... | 7,030 | 7030 | |
Rank and Nullity of a linear transformation
June 28th 2009, 01:51 PM
meg0529
Rank and Nullity of a linear transformation
Okay so i have been breaking my head over this for a couple of hours but don't really know if I'm even doing the right thing.
Okay so we are looking at a transformation defined in the fol... | 5 | [
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0.03125,
0.... | 7,031 | 7031 | |
MacClaurin series discrepancy
May 7th 2009, 01:17 PM
redsoxfan325
MacClaurin series discrepancy
This can happen with a bunch of different series, but let's just look at a really easy one as an example.
$f(x)=e^{x+1}$
There are two ways to calculate the Maclaurin polynomial:
1.) $e^x = \sum_{n=0}^{... | 5 | [
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-0.049560546875,
-0.0634765625,
-... | 7,032 | 7032 | |
Finding minimum of average cost
January 7th 2011, 01:32 PM #1
Junior Member
Joined
Dec 2010
Posts
26
A company has found that the total cost T(q) $ for product of q boxes can be calculated as:
T(q)=0.01q^2-2q+5000 , q>0
How many box has to be produced to the average cost of A(q)=T(q)/q become as l... | 4 | [
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0.0703125,
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-0.0272216796875,
0.0046997070... | 7,033 | 7033 | |
Math B regents
May 13th 2007, 01:26 PM #1
Junior Member
Joined
Nov 2006
Posts
73
Math B regents
I'm doing some practice regents to prepare for the test and i got stuck on a couple problems. Here's the link to the problems:http://www.nysedregents.org/testing/...hbtestja05.pdf and here's the
link to t... | 4 | [
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-0.037353515625,
0.0113525390... | 7,034 | 7034 | |
Automorphisms
April 22nd 2009, 10:03 PM #1
Junior Member
Joined
Apr 2009
Posts
36
Automorphisms
Let a,b be automorphisms of G, and let ab be the product of a and b as mappings on G. Prove that ab is an automorphism of G, and that the inverse of a is an automorphism of G, so that the set of
all automo... | 5 | [
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0.033935546875,
0.1201171875,
-0.005462646484375... | 7,035 | 7035 | |
Steaks in sports: calculating the expected number of streaks
October 20th 2012, 07:28 PM #1
Newbie
Joined
Sep 2012
From
US
Posts
18
Steaks in sports: calculating the expected number of streaks
Having some trouble with the material, so I just wanted to double check this question.
A basketball pla... | 4 | [
0.01531982421875,
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-0.031982421875... | 7,036 | 7036 | |
asimptotic value of height of binary tree
November 20th 2011, 12:30 AM
transgalactic
asimptotic value of height of binary tree
prove that height of a binary tree with n leaves is $\Omega(log_{2}n)$
?
at level 0 we have 1 leaf
at level 1 we have 2 leaves
etc..
$2^{0}+2^{1}+2^{2}+..+2^{x}=n$
... | 5 | [
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0.005706787109375... | 7,037 | 7037 | |
undetermined coefficients help
May 11th 2011, 08:17 PM #1
Junior Member
Joined
Oct 2009
Posts
48
undetermined coefficients help
Can someone tell me if this is right? if it isnt, tell me what is wrong. Im lost on creating the correct complimentary and particular solutions..
1. $y'' - 2y' +5y = e^x\co... | 4 | [
-0.078125,
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-0.0250244... | 7,038 | 7038 | |
Tenenbaum and Pollard, Problem 2.10.6
March 2nd 2011, 04:25 PM #1
Tenenbaum and Pollard, Problem 2.10.6
Problem 2.10.6 Test the following DE for exactness. If it is not exact, try to find an integrating factor. After the equation is made exact, solve by looking for integrable combinations. If you
cannot find ... | 5 | [
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-0.05... | 7,039 | 7039 | |
Holomorphic extension of Dirichlet Series
April 7th 2010, 03:52 AM #1
Member
Joined
Nov 2009
Posts
169
Holomorphic extension of Dirichlet Series
Define $L : \{s \in \mathbb{C}| Re(s) > 0\} \rightarrow \mathbb{C}$ by $L(s) = \sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^s}$.
Note that $L(s) = \frac{1}{\Gamm... | 5 | [
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-0.0693359375,... | 7,040 | 7040 | |
embarrasing algebra question
February 9th 2010, 04:58 AM #1
embarrasing algebra question
Hi,
In my calculus book i have the following limit problem:
$\lim_{x\to \infty}~\bigg(1+sin\frac{3}{x}\bigg)^x$
The first part of the solution:
1.Take the log of both sides:
$ln~y = \lim_{x\to \infty}... | 5 | [
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0.062255859375,
0.0732421875,
0.035400390625,
-0.06689453125,
-0.0233154296... | 7,041 | 7041 | |
In F# Major
This post is further enhancement of my suggestion on Stack Overflow upon an approach to solving the following problem: how to limit output to F# Interactive window to just user’s own?
At first I thought that such mode doesn’t make sense as FSI outputs gazillion of useful bits and pieces, but on further con... | 5 | [
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-0.01428... | 7,042 | 7042 | |
Previous
Yes, the beetles will meet! Even if D[0] were 8 cm (one ladybug on the pole, the other on the cannonball), the change is thus:
Sec. Band Length Bugs Gap
1) D[1] = 16 [cm]; A[1] = 12 [cm]
2) D[2] = 24 [cm]; A[2] = 15 [cm]
3) D[3] = 32 [cm]; A[3] = 17 1/3 [cm]
4) ... | 5 | [
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... | 7,043 | 7043 | |
Level Curves question
January 31st 2010, 08:27 AM
Penguin91
Level Curves question
I have a question asking me to describe the level curves for the following functions f(x,y) = x^2 + 2y^2 - 3x= 0
and
f(x,y) = -6
How do I go about doing this, for the second case, would the level curve be just a line... | 4 | [
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0.041259765625,
-0.1279296875,
-0.0961914062... | 7,044 | 7044 | |
A simple infinite dimensional optimization problem
up vote 2 down vote favorite
I'd be grateful for a reference for the following result, which I believe to be true, and should be well-known.
Let the continuous functions $f_0,f_1,\cdots,f_n: [0,1]\rightarrow [0,\infty)$ be given and consider the problem of maximizing... | 4 | [
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0.046142578125,
0.... | 7,045 | 7045 | |
logarithms
solve the eqn: 1/log(base 4) (x+1)/(x+2) < 1/log(base 4) (x+3)
Hello, grgrsanjay! I already solved this somewhere . . . Here is it again. Solve: . $\dfrac{1}{\log_4\left(\frac{x+1}{x+2}\right)} \;<\; \dfrac{1}{\log_4(x+3)}\;\;[1]$ Note that the domain is: . $x >
-1$ For $x > -1,$ . $\dfrac{x+1}{x+2} \:<\:1$... | 4 | [
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0.0257568359375,
... | 7,046 | 7046 | |
trivial topology in domain
April 3rd 2009, 10:21 AM
Andreamet
trivial topology in domain
Correction to title: Trivial topology in RANGE
Let Y ave the trivial topology and X be an arbitrary topological space. Show that every function f: X->Y is continuous
April 3rd 2009, 10:55 AM
robeuler
Quote:
... | 5 | [
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0.02099609375,
0.130859375,
0.045166015625,
-0.039794921875,
-0.074... | 7,047 | 7047 | |
Math Help
May 21st 2011, 06:39 PM #1
Newbie
Joined
Sep 2007
Posts
22
finite series
Ahoy all late nighters. looking for a some clarity on a problem I have. Please go easy. Im sure to screw something up when writing this.
Ok so heres the problem as I know it. It is an algorithm with the following beh... | 5 | [
-0.07421875,
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0.02197265625,
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-0.01611328125,
-0.08251953125,
-0.01190185546875,
-0.003509521484375,
-0.0678710... | 7,048 | 7048 | |
help with ellipse equation
July 8th 2007, 11:17 PM #1
Newbie
Joined
Jul 2007
Posts
2
help with ellipse equation
Hi,
I've got an ellipse defined by a central (steep) radius of curvature (R0) and a p-value (shape factor) that is p=1-e^2
I've derived most of the formulas I need for calculating the l... | 4 | [
-0.0037689208984375,
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0.041748046875,
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0.134765625,
0.0045166015625,
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0.00958251953125,
0.0018463134765625,
-0.0230712890625,
0.052734375,
0.0986328125,
0.048828125,
-0.0478515625,
0.025... | 7,049 | 7049 | |
Calculate X in a circle
July 7th 2012, 04:45 AM
gingerale
Calculate X in a circle
I'm having some difficulties trying to solve this problem seen in the picture below. I just don't know where to begin. Any help would be very appreciated, thanks.
Calculate the angel X in the circle
http://img854.imagesha... | 4 | [
0.015625,
0.035400390625,
-0.020263671875,
0.048828125,
0.006988525390625,
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-0.0206298828125,
0.0888671875,
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0.033203125,
-0.0115966796875,
0.05419921875,
-0.02783203125,
-0.08837890625,
-0.006561... | 7,050 | 7050 | |
Finding the Exponent with a Modulus
Date: 05/24/2003 at 11:40:24
From: Sarah
Subject: Finding the exponent with a modulus
I am trying to work out k in the following question :
23^k = 201545 (mod 900001)
I have taken the natural log of both sides
k . ln23 = ln201545 (mod 900001)
k = ln 201545 / ln 23 (mod 900001... | 5 | [
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0.05322265625,
0.050537109375,
-0.023193359375,
-0.0419921875,
-0.096... | 7,051 | 7051 | |
Central
Measures of Central Tendency
Measures of central tendency indicate the typical or average score in a distribution of scores. There are three measures of central tendency that will be covered in this section: the mean, median,
... | 4 | [
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-0.05224609375,
0.0264... | 7,052 | 7052 | |
Geometric Progression
September 10th 2009, 09:22 AM #1
Newbie
Joined
Sep 2009
Posts
3
Geometric Progression
Hi guys,
I am a little stuck on where to begin here and any help would be great.
This is the question I am faced with:
Now, the formula I have been using recently for working out the... | 4 | [
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0.01708984375,
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-0.03662109375,
0.00421... | 7,053 | 7053 | |
Solve the inequality 20-3y > y+4
September 19th 2011, 03:26 AM #1
Member
Joined
Jan 2011
Posts
104
Solve the inequality 20-3y > y+4
I am not sure of my workings but here it is:
$20-3y = y+4$
$20-4 = y+3y$
$16=4y$
$y=4$
Therefore, $y>4$
Also, how do I illustrate the answer on a ... | 4 | [
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0.103515625,
-0.048583984375,
-0.06... | 7,054 | 7054 | |
Integral problem
June 13th 2008, 02:08 PM #1
Newbie
Joined
Jun 2008
Posts
14
Integral problem
The velocity v at time t of an object travelling in a straight line is given by v = t - 3. Determine the distance it travels from t = 0 and t = 4.
$\frac{dx}{dt} = t - 3 \Rightarrow x = \frac{t^2}{2} - 3t +... | 4 | [
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0.056640625,
-0.06640625,
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0.0184326171875,
-0.06591796875... | 7,055 | 7055 | |
Finding the value of a square root
May 7th 2011, 06:12 AM
dumluck
Finding the value of a square root
What would be the quickest method to estimate (i.e to the nearest integer) the value of $3\sqrt{-89}$?
If 89 has a factor of 3 it wouldn't be too bad but given that its a prime this question seems a little d... | 4 | [
0.0103759765625,
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0.0517578125,
-0.016845703125,
-0.0615234375,
0.038818359375,
0.01336669921... | 7,056 | 7056 | |
Coordinate geometry: tangent to two circles
January 27th 2010, 03:22 AM #1
Newbie
Joined
Jan 2010
Posts
2
Coordinate geometry: tangent to two circles
consider two circles of radius r1 and r2, centres (x1, y1) and (x2, y2). there are two lines that are tangents to BOTH these circles that DON' T cross the ... | 4 | [
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... | 7,057 | 7057 | |
When is an algebraic variety $\mathbb{Q}$-factorial?
up vote 7 down vote favorite
3
A variety is $\mathbb{Q}$-factorial if every global Weil divisor is $\mathbb{Q}$-Cartier. How bad singularities are allowed so that the algebraic variety is still $\mathbb{Q}$-factorial? Is a
singular curve $\mathbb{Q}$-factorial? For ... | 4 | [
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Find the point on the parabola y = x^2 + 3 that is closest to the point (1,5)
We want to minimize the distance $D$ between $(x, x^2+3)$ and $(1,5)$. We know that $D = \sqrt{(x-1)^2 + (x^2 + 3 - 5)^2} = \sqrt{2x^2 - 6x + 5}$ To make things easier, $D^2 = 2x^2 - 6x + 5$. To find
the x that minimizes $D$, you may as well... | 5 | [
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0.026123046875,
0.02392578125,
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0.... | 7,059 | 7059 | |
Find Centre of symmetry of conic
February 1st 2013, 05:24 PM
mcleja
Find Centre of symmetry of conic
I have the following conic and i want to find its centre of symmetry: 3y^2+2x+18y=-31
I tried the following way but it didn't seem to work, could somebody tell me where i went wrong?
(3y^2+18y)+2x=-31
... | 4 | [
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-0.0629882812... | 7,060 | 7060 | |
Area and Perimeter of Shaded Region (Answer Confirmation)
August 17th 2010, 04:52 AM #1
Member
Joined
Jun 2010
Posts
111
Area and Perimeter of Shaded Region (Answer Confirmation)
In attachment there are 8 question and i want to confirm my answers
Q1)Area(Shaded)=41
Perimeter(Shaded)=25
Q2)... | 4 | [
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0.006... | 7,061 | 7061 | |
Is there a closed form for the characteristic polynomial of the graph cycle (of n edges and n summits) ?
up vote 0 down vote favorite
Is there a closed form for the characteristic polynomial of the graph cycle (of $n$ edges and $n$ summits)?
I know it for the graph path (it is a Chebyschev polynomial), but I couldn'... | 5 | [
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-0.055908203125,
-0.01019287109375... | 7,062 | 7062 | |
Garden Areas
Date: 8/14/96 at 13:51:21
From: Anonymous
Subject: Algebra Word Problems
Dear Dr. Math,
I am an English teacher you have helped before. I hope you can help me
again. I am on the chapter involving factoring and the zero product
property. Here is a word problem with which I am having a difficult
time:
O... | 4 | [
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0.046875,
-0.14355... | 7,063 | 7063 | |
The Best (Spill-free) Coffe Cup is Elliptic
Linear Sloshing
The movement of a non-rotating, incompressible sloshing liquid in a cylindric vessel is described by a velocity potential obeying Laplace's equation. The time dependency creeps in through the free
surface boundary condition, something I can't get my head aro... | 4 | [
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0.0400390625,
0.0703125,
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-0.07177734375,
-0.04760742187... | 7,064 | 7064 | |
Area and Arc Length in Polar Coordinates
October 5th 2012, 12:11 AM
TWN
Area and Arc Length in Polar Coordinates
I'm teaching myself calculus and I can't figure out how to do the problems below. Please explain how to do them because my book is confusing me.
Find the area of the region:
1.) Inside r = 2... | 5 | [
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-0.06201171875,
-0.0127563476... | 7,065 | 7065 | |
Basic Probability Problem
August 31st 2010, 11:01 AM #1
Junior Member
Joined
Mar 2009
Posts
41
Basic Probability Problem
A box contains four 40-W bulbs, five 60-W bulbs, and six 75-W bulbs. If bulbs are selected one by one in random order (without replacement), what is the probability that at least two b... | 4 | [
0.099609375,
0.04541015625,
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0.048583984375,
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0.09375,
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-0.0203857421875,
0.07861328125,
0.043701171875,
0.03369140625,
0.078125,
-0.12109375,
-0.12109375,
-0.104... | 7,066 | 7066 | |
Infinite product
May 8th 2010, 09:27 AM
Dinkydoe
Infinite product
A part of my course complex-analysis we deal with infinite products. And as a homework assignment I got the following exercise.
If $b_n>1$ for all $n$, then prove that $\prod_n b_n$ converges iff $\sum_{n}\log(b_n) < \infty$
I'm used to ... | 5 | [
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-0.0123291015625,
0.0106201171875,
0.1181640625,
0.007781982421875,
0.0458... | 7,067 | 7067 | |
Show that 1 is a positive number
,.,can anyone please show me the proof of this??i was really confused in my teachers proof,.,thnx
Re: Show that 1 is a positive number
Please state a definition of "positive number".
Talk us through your teacher's proof.
Re: Show that 1 is a positive number
haha...... | 5 | [
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0.043701171875,
-0.0205078125,
0.005859375,
-0.0072021484375,
-0.0036468505859... | 7,068 | 7068 | |
Period of sums/multiplied sines/cosines
July 10th 2011, 01:10 AM
gabber808
Period of sums/multiplied sines/cosines
Hello
I am trying to revise some rules regarding the period of sines (or cosines) when (a) they are added , and (b) they are multiplied. I haven't had too much luck Googling this topic.
Fo... | 5 | [
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-0.0625,
0.05151367... | 7,069 | 7069 | |
Evaluating indefinite Integral
November 26th 2012, 05:38 PM
kspkido
Evaluating indefinite Integral
Could someone please work me out in these problem, I did a substitution on Ln(x) but ended up with (u^2+1)/(u+1)...
here is the question find the indefinite integral of ((ln x)^2+1)/(xln(x)+3)....
November 26t... | 5 | [
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0.045166015625,
-0.09375,
-0.0146484375,
-0.03759765625,
-0.032... | 7,070 | 7070 | |
Finding Derivatives
September 23rd 2009, 05:31 PM #1
Finding Derivatives
Find the derivative:
$\frac{dv}{dt}$ if $v=t-\frac{1}{t}$
My answer is $-\frac{2}{t}$
I can show work later if needed if this is wrong. Just need to be sure I did this one right before I go on and do others.
dv/dt = 1 + 1... | 5 | [
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0.04296875,
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0.0234375,
-0.058349... | 7,071 | 7071 | |
Linear Correlation
Linear Correlation Coefficient
Correlation coefficients measure the strength of association between two variables. The most common correlation coefficient, called the Pearson product-moment correlation coefficient, measures the
strength of the linear association between variables.
In this tutorial,... | 4 | [
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0.08984375,
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0.01806640625,
0.03173828125,
-0.0... | 7,072 | 7072 | |
order of an element of a group
April 29th 2010, 02:17 PM #1
Newbie
Joined
Feb 2010
From
Bangladesh
Posts
10
order of an element of a group
I need the Proof:
a, b are two elements of a group G such that ab=ba.
If o(a)=m & o(b)=n and m,n are relatively prime to each other,then
o(ab)=mn.
... | 5 | [
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-0.055419921875,
0.028076171875,
0.1064453125,
-0.00005054473876953125... | 7,073 | 7073 | |
hcf's and lcm's
January 2nd 2009, 12:32 PM #1
hcf's and lcm's
Let $q_1=\frac{m_1}{n_1}$ and $q_2= \frac{m_2}{n_2}$ be positive rational numbers. We define the lowest common multiple of $q_1$ and $q_2$, lcm $(q_1,q_2)$, to be the smallest positive rational
number q such that $q=Mq_1=Nq_2$ for some positive int... | 5 | [
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0.078125,
-0.0341796875,
0.0593... | 7,074 | 7074 | |
Prove that sets are denumerable
June 28th 2010, 03:48 AM #1
Junior Member
Joined
Jun 2010
Posts
32
Prove that sets are denumerable
Hi!
Problem:
Prove that the sets $\mathbb{N} \times \mathbb{N} = \left\{ (i,j): i,j \in \mathbb{N} \right\}$ and $\mathbb{Q}$ are denumerable.
(If someone want... | 5 | [
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0.0053... | 7,075 | 7075 | |
[SciPy-User] raising a matrix to float power
David Goldsmith d.l.goldsmith@gmail....
Sun Jul 11 12:23:20 CDT 2010
On Sun, Jul 11, 2010 at 8:26 AM, Andrew Jaffe <a.h.jaffe@gmail.com> wrote:
> Hi,
>
> On 11/07/2010 00:26, Alexey Brazhe wrote:
> > Hi,
> > I failed to find a way to raise a matrix to a non-integer power ... | 4 | [
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0.08349609375,
-0.00982666015625,
0.072265625... | 7,076 | 7076 | |
Complex structure on $L^2(\mathbb R)$ generalizing the Hilbert transform.
up vote 15 down vote favorite
8
The Hilbert transform on the real Hilbert space $L^2(\mathbb R)$ is the singular integral operator $$ \mathcal H(f)(x) := \frac{1}{\pi} \int_{-\infty}^\infty \frac{1}{x-y} f(y) dy. $$
It satisfies $\mathcal H^2=-... | 4 | [
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0.00897216796875,
-0.0... | 7,077 | 7077 | |
I have problems of understanding two statistical concepts
July 2nd 2010, 01:19 AM #1
Junior Member
Joined
Apr 2010
Posts
56
I have problems of understanding two statistical concepts
The followings are the definitions of Law of Iterated Expectations and Covariance from textbook.
Law of Iterated Expec... | 4 | [
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-0.0196533203125,
-0.0223388671875,
-0.01574707... | 7,078 | 7078 | |
What is the localization of Q[x]/(x) at 0
up vote 1 down vote favorite
1
Q is a rational field. Q[x] is polynomial ring over Q 。(x) is maximal ideal of Q[x]. Take Q[x]/(x) as a module over Q[x]. Then what is Q[x]-module Q[x]/(x) localize at 0??
I think the result is Q[x]/(x) \ otimes_{Q[x]}Q(x) but on the other hand,... | 5 | [
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... | 7,079 | 7079 | |
Prove the perpendicular bisector of a chord passes through center
May 1st 2012, 02:35 PM
Ragnarok
Prove the perpendicular bisector of a chord passes through center
Hello, I need some help again. I need an algebraic proof of this theorem:
The perpendicular bisector of a chord of a circle passes through the c... | 4 | [
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0.00375... | 7,080 | 7080 | |
What is Z-Score? - Baltimore Sports and Life
What is Z-Score?
How do you rank the best players in any sport? With so many variables involved, players who excel in different areas of the game, players at different positions, it’s hard to tell. In baseball, do
you value hitters over pitchers? Maybe pitchers more than hi... | 4 | [
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0.051025390625,
... | 7,081 | 7081 | |
Finding the inverse of a matrix
May 5th 2011, 04:24 AM #1
Member
Joined
Jul 2008
Posts
212
Finding the inverse of a matrix
So I'm trying to find the inverse of the matrix:
[2 4 2]
[2 5 2]
[0 2 -1]
I've gotten up to this bit:
[1 0 5 | -1/2 -2 0]
[0 1 -2| 1/2 1 0]
[0 0 -3| 1 ... | 4 | [
-0.0703125,
-0.06689453125,
-0.0250244140625,
-0.03759765625,
0.043212890625,
-0.1484375,
-0.021240234375,
-0.0081787109375,
-0.046875,
0.02783203125,
0.0164794921875,
-0.054443359375,
0.0220947265625,
-0.033203125,
-0.08837890625,
0.054443359375,
-0.0034332275390625,
-0.0510253906... | 7,082 | 7082 | |
Integral test
December 24th 2008, 09:21 PM #1
Integral test
Hello everyone! While doing some problems I came upon this one. What is disconcerting is that I have found (in general) that the more useful a theorem is the more difficult it is to prove. So I
would appreciate if someone would tell me if this looks ... | 5 | [
-0.055419921875,
-0.027099609375,
0.0027313232421875,
-0.11865234375,
0.016845703125,
0.03955078125,
0.11181640625,
0.015869140625,
-0.08056640625,
-0.07373046875,
-0.055419921875,
0.068359375,
0.046875,
-0.0257568359375,
0.00518798828125,
-0.0128173828125,
0.041015625,
-0.04272460... | 7,083 | 7083 | |
How to deduce (8.1) in Lusztig's "Equivariant K-theory and representations of Hecke Algebras"
up vote 3 down vote favorite
Let G be a connected complex algebraic group G and X=G/B, where B is the Borel subgroup. $ M=G\times C^{*}$, where $C^*$ acts on X trivially. Let $K_M(X)$ be the equivariant K-theory. Let $s\in S$... | 4 | [
-0.07373046875,
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0.12109375,
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0.0302734375,
-0.0302734375,
-0.0203857421875,
-0.00732421875,
-0.04345703125,
-0.01806640625,
-0.01007080078125,
-0.00153350830078125,
0.05810546875,
-0.00128936767578125,... | 7,084 | 7084 | |
Sinusoidal function help
June 19th 2010, 11:53 AM #1
Newbie
Joined
Jun 2010
Posts
1
Sinusoidal function help
A small windmill has its center 10 meters above the ground and blades 4 meters in length. In a steady wind, a point P at the tip of one blade makes a rotation in 24 seconds.
If the rotation b... | 4 | [
-0.080078125,
0.054931640625,
0.0067138671875,
-0.045654296875,
0.038330078125,
0.0289306640625,
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0.09765625,
0.047119140625,
-0.00141143798828125,
0.150390625,
0.017822265625,
-0.027099609375,
0.049560546875,
0.06787109375,
0.04443359375,
-0.10302734375,
0.005004... | 7,085 | 7085 | |
Nyquist Plot Examples
What follows are several examples of Nyquist plots. In general each example has five sections: 1) A definition of the loop gain, 2) A Nyquist plot made by the NyquistGui program, 3) a Nyquist plot
made by Matlab, 4) A discussion of the plots and system stability, and 5) a video of the output of t... | 5 | [
-0.0634765625,
0.0022430419921875,
-0.0361328125,
-0.01348876953125,
0.0255126953125,
-0.028564453125,
0.053955078125,
0.08544921875,
0.02099609375,
-0.00022125244140625,
0.052001953125,
0.09033203125,
0.029052734375,
-0.037109375,
-0.023193359375,
-0.00171661376953125,
-0.0120239257... | 7,086 | 7086 | |
Prove That -(-a) = a
Date: 09/11/2001 at 22:21:28
From: Eduardo
Subject: Why does - (-a) = a
Why does -(-a) = a? How do you prove this using the properties of real
numbers?
Date: 09/12/2001 at 08:26:08
From: Doctor Rick
Subject: Re: Why does - (-a) = a
Hi, Eduardo.
We can start with how -a is defined. It is "the... | 4 | [
-0.1435546875,
0.0245361328125,
0.020263671875,
0.046142578125,
-0.0810546875,
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0.028564453125,
-0.060546875,
-0.0576171875,
-0.043212890625,
-0.044189453125,
... | 7,087 | 7087 | |
Dimensions of a Cardboard Box
Associated Topics || Dr. Math Home || Search Dr. Math
Dimensions of a Cardboard Box
... | 4 | [
-0.01806640625,
0.032470703125,
0.01483154296875,
-0.027587890625,
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-0.026123046875,
0.094238281... | 7,088 | 7088 | |
Determine whether the given function satisfies the wave equation
October 13th 2010, 11:59 PM #1
Senior Member
Joined
Oct 2009
Posts
295
Thanks
9
Determine whether the given function satisfies the wave equation
$w(x,t)=e^{x-ct}$
Thank you for the help on the last problem, but for this one I'm sti... | 4 | [
-0.06689453125,
0.0380859375,
0.015869140625,
0.030029296875,
-0.1005859375,
-0.00006628036499023438,
-0.039306640625,
-0.06103515625,
-0.0458984375,
0.025634765625,
0.12890625,
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-0.06884765625,
-0.0001220703125,
0.052490234375,
0.0225830078125,
-0.0250244140625,
-0... | 7,089 | 7089 | |
University Combinatronics (Enumeration) and Basic Probability
September 15th 2010, 01:09 AM
aarnold
University Combinatronics (Enumeration) and Basic Probability
Hi! First post here.
This is actually for a university level course in Discrete Mathematics. This assignment question regards the topic of enu... | 4 | [
0.0198974609375,
-0.0133056640625,
0.00543212890625,
-0.08544921875,
0.0118408203125,
0.0634765625,
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-0.035400390625,
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0.021728515625,
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0.0015716552734375,
0.00433349609375,
-0.04638671875,
0.05224609375,
-0... | 7,090 | 7090 | |
Seeing topological (geom.) properties of the space via corresponding C^*-algebra
up vote 9 down vote favorite
4
Compact Hausdorff spaces bijectively correspond to C^*-algebras with identity. One needs to consider the algebra of continuous functions C(X) to go in one direction and spectrum to go in the other. (
See e.g... | 5 | [
-0.1171875,
-0.0458984375,
-0.080078125,
-0.000530242919921875,
-0.091796875,
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0.0322265625,
0.04052734375,
0.01080322265625,
0.0299072265625,
0.06640625,
... | 7,091 | 7091 | |
Collecting integral problems
February 2nd 2008, 07:39 PM
Krizalid
Collecting integral problems
Yes, post an interesting integral or a problem related to integration (like a sum, double sum, etc which can be computed applyin' integration), 'cause I want to collect problems and their
solutions to make a PDF.
... | 5 | [
-0.055908203125,
0.0712890625,
0.0081787109375,
0.00750732421875,
0.01007080078125,
-0.0301513671875,
-0.023681640625,
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-0.06884765625,
0.02587890625,
-0.0016632080078125,
0.01611328125,
-0.018310546875,
0.07470703125,
-0.12353515625,
0.01116943359375,
0.015869140... | 7,092 | 7092 | |
Math Forum Discussions
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Topic: The CMWC4827 RNG, an improvement on MWC4691.
Repli... | 4 | [
-0.125,
-0.00897216796875,
-0.0283203125,
0.0693359375,
-0.0244140625,
-0.047607421875,
-0.03369140625,
0.031982421875,
-0.01007080078125,
-0.005615234375,
-0.0189208984375,
-0.01416015625,
0.005279541015625,
0.0537109375,
0.026611328125,
0.051025390625,
-0.123046875,
0.00653076171... | 7,093 | 7093 | |
Income Tax and Capital Budgeting Decisions
Posted on March 24, 2014 by Shamsa Rafique
Income Tax and Capital Budgeting Decisions:
Learning Objectives:
1. Include income taxes in a capital budgeting analysis.
In our discussion of capital budgeting decisions in this chapter, we ignored income taxes for two reasons... | 5 | [
0.0306396484375,
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0.03173828125,
-0.031005859375,
0.0576171875,
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0.01361083984375,
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-0.0159912109375,
-0.06591796875,
-0.06884765625,
-0.032470703125,
... | 7,094 | 7094 | |
'vector-bundles' Answers By New Users
Since $H^2(S^6;\mathbb Z) = H^4(S^6;\mathbb Z) = 0$, we get $c_1(TS^6) = c_2(TS^6) = 0$. As for $c_3(TS^6)$, it equals the Euler class $e(TS^6)$, which is the Euler characteristic of $S^6$ (which
equals $2$) times the generator of $H^6(S^6;\mathbb Z) = \mathbb Z$.
Yes, tha... | 4 | [
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0.037109375,
-0.03369140625,
-0.111328125,
0.0458984375,
... | 7,095 | 7095 | |
linear mass density?
September 22nd 2013, 07:47 PM #1
Newbie
Joined
Sep 2013
From
USA
Posts
4
linear mass density?
If I need to find the work in lifting a chain and I am given linear mass density, how would I go about it? I am used to being given simply the density.
I have a feeling I would need... | 5 | [
-0.055908203125,
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0.01904296875,
0.031982421875,
-0.03125,
-0.034423828125,
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0.123046875,
0.036376953125,
0.06494140625... | 7,096 | 7096 | |
Relative rates of change.
December 8th 2009, 10:05 AM #1
Member
Joined
Sep 2009
Posts
80
Relative rates of change.
I'm stuck on this problem: ( u = mu, since I don't know how to do the symbol)
"A spherical cell is growing at a constant rate of 400 um^3/day (1 um = 10^-6 m). At what rate is its radiu... | 5 | [
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0.03955078125,
... | 7,097 | 7097 | |
Find Centre of symmetry of conic
February 1st 2013, 05:24 PM #1
Junior Member
Joined
Jan 2013
From
australia
Posts
39
I have the following conic and i want to find its centre of symmetry: 3y^2+2x+18y=-31
I tried the following way but it didn't seem to work, could somebody tell me where i went wro... | 4 | [
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-0.09912109375,
-0.06835... | 7,098 | 7098 | |
GWAPower: a statistical power calculation software for genome-wide association studies with quantitative traits
Abstract
Background
In designing genome-wide association (GWA) studies it is important to calculate statistical power. General statistical power calculation procedures for quantitative measures often requir... | 4 | [
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0.0235595... | 7,099 | 7099 |