content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Hermite normal form in families
up vote 4 down vote favorite
How does Hermite normal form (over $Z$) vary in families? I.e. if I have an $n\times m$ matrix $M$ whose entries are integral polynomials in some integral variable $x$, how does the Hermite normal
form of the integral matrix $M(p)$ (obtained by setting $x$ e... | 4 | [
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0.01031494140625,
0.02392578125,
0.0035858154296875,
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0.01239013671875,
0.0174560546875,
-0.00885009765625,
-0.024658203125,
0.023681640625,
0.0458984375,
0.04833984375,
0.0419921875,
0.007110595703125,
0.027099609375,
-0.00146484375,
0.01312255859375,
... | 8,900 | 8900 | |
finding the line integral
January 8th 2013, 12:16 AM #1
Junior Member
Joined
May 2012
From
Philadelphia
Posts
28
finding the line integral
Find the line integral:
∫C(2y2 i + x j) · dr , where C is the line segment from (3,1) to (0,0).
My answer so far (...which has gone awfully awry. the a... | 5 | [
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0.04931640625,
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0.0137939453125,
0.053955078125,
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0.01080322265625,
0.004486083984375,
0.0045166015625,
-0.104492187... | 8,901 | 8901 | |
Averaging over random walk on binary lattice
up vote 4 down vote favorite
2
I have a function $f$ defined over a bit vector of length $n$. Equivalently, this is a function defined on the set of integers $[0,\ldots,2^n-1]$. I would like to compute the mean or variance or some
other statistics of $f$ over the entire dom... | 4 | [
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0.01409912109375,
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0.008056640625,
0.05517578125,
0.03198... | 8,902 | 8902 | |
How to show that a form of Euler characteristic is constant for a family of schemes?
up vote 3 down vote favorite
Let $X$ be a smooth projective surface over $\mathbb{C}$. How to show that for any zero-dimensional subscheme $Z$ of $X$, the Euler characteristic $\chi(\mathcal{O}_Z,\mathcal{O}_Z)={\sum}_i (-1)^i \
dim \... | 5 | [
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0.005218505... | 8,903 | 8903 | |
Strange Consequences of Simple Definitions (I)
PDF of this post
I decided that upon finding Thomae's function, of which today's topic is about, that a good subsection of this journal of mathematical musings should be about what strange things can be
mathematically correct, but not at all intended from a given definiti... | 5 | [
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0.03515625,
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0.011474609375,
-0.02355957031... | 8,904 | 8904 | |
Understanding Imaginary Numbers
Date: 09/18/2002 at 20:03:39
From: Anonymous
Subject: Imaginary number
Dr. Math,
I have asked and looked many places trying to understand the
imaginary number. I don't have it in school yet, but I have to do a
report on it. Why is the square root of i negative, and what about
when it... | 4 | [
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0.09765625,
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0.00830078125,
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-0.058837890625,
... | 8,905 | 8905 | |
try to approximate a derivative by a neural network
up vote 0 down vote favorite
I´m trying to approximate the partial derivative of the output with respect to the input.
As you can see in "derivative" I develop chain rule to obtain the derivative of the function (dy/dx). Could you let me know where I am having a bug... | 4 | [
-0.0673828125,
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0.0629... | 8,906 | 8906 | |
Program
Human Power Vehicles - 1 (Program: "hpv")
This exercise is the first of a sequence of six programming exercises based on a common theme (which we will develop and evolve throughout the rest of the quarter) in which we wish to evaluate the
performance of human powered vehicles (hpv) for land transportation. Per... | 5 | [
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0.015014648437... | 8,907 | 8907 | |
Particle moving
February 8th 2010, 12:32 PM
poitier
Particle moving
A particle moves along the x-axis so that its velocity at any time t > or equal to zero is given by v(t) = pi(t)-cos((pi)(t)).
Find the acceleration at any time t. Find the minimum acceleration of the particle over the interval [0, 2]. Find ... | 5 | [
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0.01190185546875,
-0.036376953... | 8,908 | 8908 | |
Annoying Integral involving Bessel Functions
February 20th 2011, 11:18 AM #1
Member
Joined
May 2008
Posts
106
Annoying Integral involving Bessel Functions
Hi I'm having trouble with this integral
$<br /> \int_{0}^{\infty} \frac{J_0(kR)}{(1+(kR_d)^2)^{3/2}} dk<br />$
I'm supposed to evaulate it u... | 4 | [
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0.... | 8,909 | 8909 | |
MATLAB
September 24th 2008, 09:34 PM
Maccaman
MATLAB
Hello,
I need to solve a second order differential equation in Matlab.....which sucks because I HATE using Matlab.(Headbang)
Anyway, I cannot use the built-in matlab functions ode45, ode23s, ect, I have to employ the use of the fourth order Runge Kut... | 4 | [
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0.07080078125,... | 8,910 | 8910 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: distinguishability - in context, according to defi... | 5 | [
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... | 8,911 | 8911 | |
MATLAB System of ODE's
September 28th 2008, 07:20 AM #1
Junior Member
Joined
Sep 2008
Posts
47
Hi everyone,
I started a thread before called "Lorenz Equations MATLAB", and this is based on the question, but im having a different problem.
So from before,
I have the following system of differe... | 4 | [
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Is the category of affine fppf groups closed under normal quotients?
up vote 5 down vote favorite
3
Let $S$ be a scheme and let $N$, $G$ be affine flat group schemes of finite presentation over $S$. If we assume that $N$ is a closed normal subgroup of $G$, we may form the fppf quotient sheaf $G/N$,
which is a sheaf of... | 4 | [
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0.04370117... | 8,913 | 8913 | |
xponents and
Exponents and Polynomials
Section 4.1 Exponents and Their Properties
An exponential expression is an expression that has a base and an exponent –
base^exponent. The base can be a constant, variable, or algebraic expression .
We evaluate this expression by writing it in expanded form and using repeated
... | 4 | [
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0.08251953125,
0.04541015625,
0.07177734375,
-0.1025390625,
0.0625,
-0.04... | 8,914 | 8914 | |
Guessing on True-False Tests
Date: 07/08/99 at 18:13:25
From: Annette Darby
Subject: Using binomial theorem to calculate probability
An examination is comprised of n true-false questions. To pass, you
must answer at least 1/2 correctly. Suppose you guess at each answer.
Are you more likely to pass a test with a few... | 4 | [
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-0.07... | 8,915 | 8915 | |
Math Images
Cantor Set
From Math Images
Cantor Set
A Cantor set is a simple fractal that laid the foundation for modern topology. The picture at right is an artistic representation of the Cantor set.
Basic Description
Creation of the Cantor Set
We highlight the first steps of construction here.
We begin wi... | 4 | [
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Biconditional Proof
October 30th 2012, 01:28 PM
Measure13
Biconditional Proof
Hi all,
This is my question with my thoughts about how to approach it:
For all integers m and n, 4 divides (m^2-n^2) if and only if m and n are both even or m and n are both odd.
So obviously, I have to prove it from bot... | 4 | [
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... | 8,917 | 8917 | |
Expected family size
January 21st 2010, 09:58 PM #1
Senior Member
Joined
Jul 2009
From
Singapore
Posts
338
Expected family size
An event has probability p of success and q(=1-p) of failure. Independent trials are carried out until at least one success and one failure has occurred. Find the probabilit... | 4 | [
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The Effect of Molecular Weight and Concentration of Polymers in
Solutions on the Normal Stress Coefficient
Karl Weissenberg - The 80th Birthday Celebration Essays
... | 4 | [
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A version of the Zorn Lemma
up vote 4 down vote favorite
Let $S$ be a linearly ordered set. A pair $(X,Y)$ of subsets $X$, $Y$ of $S$ is called a pre-cut if $x < y$ (strict inequality) for all $x \in X$ and $y \in Y$. Pre-cuts are naturally ordered: $(X,Y)
\le (U,V)$ if $X \subseteq U$ and $Y \subseteq V$.
The follow... | 5 | [
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MSpace - DSpace at UofM: A new class of designs and singly or doubly equivalent designs
Home MSpace - DSpace at UofM >
Faculty of Graduate Studies (Electronic Theses and Dissertations) >
About MSpace FGS - Electronic Theses & Dissertations (Public) >
Browse ... | 4 | [
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Is a (quasi)projective toric variety (Q)Proj of its homogeneous coordinate ring?
up vote 2 down vote favorite
1
This is really two questions. First, consider a normal toric variety $X_\Sigma$. Its homogeneous coordinate ring $$R=\mathbb C[x_1,...,x_{|\Sigma(1)|}]$$ is graded by $A_{n-1}(X)$. In analogy with
projective... | 5 | [
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n the Structure of the Atom
XXIV. On the Structure of the Atom: an Investigation of the Stability and Periods of Oscillation of a number of Corpuscles arranged at equal intervals around the Circumference of a Circle; with
Application of the Results... | 4 | [
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losing moisture at a rate proportional to moisture content
April 7th 2010, 10:02 PM #1
Junior Member
Joined
Apr 2010
Posts
57
losing moisture at a rate proportional to moisture content
A wet towel hung from a clothesline to dry loses moisture through evaporation at a rate proportional to its moisture con... | 5 | [
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Partial fraction decomposition
July 30th 2009, 03:49 PM #1
Newbie
Joined
Jul 2009
Posts
1
Partial fraction decomposition
How do you solve: 1 / x^2(x^2+2x+2)
I put it in the form:
A/x + B/x^2 + (Cx+D)/(x^2+2x+2) which can be solved by completing the square
A/x + B/x^2 + (Cx+D)/[(x+1)^2 + 1] ... | 4 | [
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0.0703125,
0.0659179687... | 8,925 | 8925 | |
permutation help ,
January 27th 2014, 01:04 PM #1
Super Member
Joined
Sep 2008
Posts
607
permutation help ,
Hello,
I am stuck on part three of this question.
i) $\sigma$ = (1 6) (1 4) (1 2) (3 7) (3 5) (8 9) = even permutation
ii) $\sigma^{2}$ = 1 2 3 4 5 6 7 8 9
4 6 7 1 3 2 5 8 9
... | 5 | [
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Algebra/Exponents
March 9th 2010, 06:16 PM
Alan306090
Algebra/Exponents
If (a + b)^1/2 = (a - b )^-1/2 why must a^2 - b^2 = 1 must be true?
If Set X has x members and yet Y has y members, Set Z consists of all members that are in either set X or set Y with the exception of the k common members (k > 0), then... | 4 | [
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Inequality problem
September 18th 2012, 04:45 PM #1
Newbie
Joined
Aug 2012
From
United States
Posts
15
Inequality problem
The following problem raises some questions to me as to how the answer came to be:
7(x+4) (greater than or equal) 6(x-3)+x
After going through the problem I end up with ... | 4 | [
-0.06689453125,
0.0260009765625,
0.02294921875,
-0.025146484375,
-0.04443359375,
0.03271484375,
-0.05810546875,
0.046142578125,
-0.01312255859375,
0.055419921875,
-0.006683349609375,
-0.0255126953125,
0.037109375,
0.0400390625,
0.00201416015625,
0.01068115234375,
0.0026397705078125,
... | 8,928 | 8928 | |
[SOLVED] a number series
November 28th 2006, 09:39 PM
EcoDTR
[SOLVED] a number series
This is probably quite simple, but for some reason, I am having a problem with it.
Ok, I'm trying to find x in this series of numbers
1 , 1x , 1x^2 , 1x^3 , ..... , 0.2
the sum of all numbers in the series = 5
... | 5 | [
-0.052734375,
-0.01202392578125,
0.078125,
0.0147705078125,
-0.006011962890625,
-0.1025390625,
0.07373046875,
-0.068359375,
0.07470703125,
0.025634765625,
-0.0693359375,
0.00160980224609375,
0.03173828125,
0.042236328125,
-0.06396484375,
-0.0057373046875,
-0.1044921875,
-0.07324218... | 8,929 | 8929 | |
Proofs of e
Date: 03/21/2002 at 21:37:08
From: Christine
Subject: Proof of number e
I was asked by my algebra teacher to find the proof of e. I found
out that the definition of e is: e = lim, as n approaches infinity
(1+ 1/n)^n. Is there a proof for this or for 1+2(e-1/n)?
Thank you so much ahead of time for your h... | 5 | [
-0.072265625,
0.033447265625,
0.04443359375,
0.06787109375,
0.0255126953125,
-0.026611328125,
0.02001953125,
0.087890625,
0.05029296875,
0.005706787109375,
-0.07177734375,
-0.033203125,
0.01708984375,
0.04296875,
-0.028076171875,
-0.054931640625,
-0.033447265625,
-0.0703125,
0.01... | 8,930 | 8930 | |
Area of intersection of a family of circles in the plane
up vote 3 down vote favorite
Suppose you are given a family F of circles in the plane such that each circle has radius 1. Let G be the family of circles with same centers as in family F but now each circle has radius $r$. Let A
be area of union of circles in fam... | 5 | [
0.0240478515625,
-0.01312255859375,
-0.09912109375,
0.009765625,
0.0211181640625,
-0.04443359375,
0.0301513671875,
0.0169677734375,
0.024658203125,
-0.0322265625,
-0.09375,
-0.005828857421875,
0.0262451171875,
0.037109375,
0.0478515625,
-0.006500244140625,
-0.00115203857421875,
-0.... | 8,931 | 8931 | |
Primes and Squares again
October 2nd 2009, 01:23 AM #1
Newbie
Joined
Feb 2009
Posts
21
Primes and Squares again
Q: Show that if a, b are positive integers such at (a,b)=1 and ab is a square, then a and b are also squares.
Pf: (by Contradiction)
Suppose a and b are not squares, then a=h*k and b=p... | 4 | [
0.031494140625,
0.07275390625,
-0.0213623046875,
0.06005859375,
-0.0198974609375,
0.06640625,
0.072265625,
-0.061767578125,
0.0211181640625,
-0.0576171875,
-0.024169921875,
0.08935546875,
0.08203125,
0.0257568359375,
-0.036865234375,
0.0281982421875,
-0.031005859375,
-0.01391601562... | 8,932 | 8932 | |
complex numbers
May 12th 2007, 02:51 AM
ahoy hoy
complex numbers
ok..
w=cos(theta) + isin(theta) where theta is between 0 and pi.
if complex number w^2 + (5/w) -2 is purely imaginary, show that 2(cos^2)(theta) + 5cos(theta) -3=0.
Hence, find w.
Any input would be appreciated. thanks.
May 12th 20... | 5 | [
-0.1376953125,
0.026123046875,
0.040283203125,
0.06298828125,
-0.004180908203125,
0.01287841796875,
0.0087890625,
0.01031494140625,
0.04931640625,
-0.00933837890625,
0.07568359375,
-0.0274658203125,
-0.00518798828125,
0.08935546875,
-0.0213623046875,
0.0308837890625,
-0.049072265625,... | 8,933 | 8933 | |
Drawing or Constructing an Ellipse or Oval
Date: 02/22/2006 at 10:33:09
From: Ken
Subject: How can I lay out a perfect oval?
As a woodworker I have an occasional need to lay out ovals for some
projects. Many years ago a friend gave me a formula for laying out an
oval and I can't remember it. I know it involved sett... | 4 | [
0.0751953125,
0.03759765625,
-0.02587890625,
-0.07373046875,
-0.048828125,
-0.0184326171875,
-0.0712890625,
0.10595703125,
0.0174560546875,
-0.041748046875,
0.001495361328125,
0.032958984375,
-0.05029296875,
0.01531982421875,
-0.03466796875,
0.017333984375,
-0.05078125,
-0.03613281... | 8,934 | 8934 | |
Linear programming - problem
December 9th 2009, 09:35 PM
dhammikai
Linear programming - problem
Hi please give me a help to find out the answer for the following linear programing question
There are two products x1 and x2 manufactured on two machines M1 and M2.
Product x1 requires 3 hours on machine M1 ... | 4 | [
-0.0267333984375,
0.06298828125,
-0.04150390625,
-0.1201171875,
-0.0096435546875,
-0.002532958984375,
0.00982666015625,
0.064453125,
-0.099609375,
0.041259765625,
-0.0164794921875,
0.03564453125,
0.0703125,
-0.0322265625,
0.03857421875,
0.09716796875,
0.03173828125,
-0.04736328125,... | 8,935 | 8935 | |
Why do finite homotopy groups imply finite homology groups?
up vote 29 down vote favorite
17
Why does a space with finite homotopy groups [for every n] have finite homology groups? How can I proof this [not only for connected spaces with trivial fundamental group]? The converse is false. $\
mathbb{R}P^2$ is a countere... | 4 | [
-0.0027923583984375,
-0.011962890625,
-0.052978515625,
0.10302734375,
0.00127410888671875,
0.055908203125,
-0.05859375,
-0.1435546875,
0.06103515625,
-0.0096435546875,
0.00054168701171875,
-0.017578125,
0.058349609375,
-0.047607421875,
-0.010009765625,
-0.072265625,
-0.08056640625,
... | 8,936 | 8936 | |
Sylow subgroup of group of order 56
May 29th 2010, 11:45 AM #1
Junior Member
Joined
Mar 2010
Posts
36
Sylow subgroup of group of order 56
Let $G$ be a group of order 56, $T \in \text{Syl}_2(G), S \in \text{Syl}_7(G)$ be given. Then $|T| = 8, |S| = 7$. Assume $S$ is not normal, so then $T \lhd G$. Show th... | 5 | [
-0.0255126953125,
0.01611328125,
0.051025390625,
-0.00101470947265625,
0.00482177734375,
-0.0299072265625,
0.08544921875,
0.0164794921875,
-0.06884765625,
0.06884765625,
0.039306640625,
-0.002899169921875,
-0.0322265625,
0.005645751953125,
-0.01507568359375,
0.01043701171875,
-0.0223... | 8,937 | 8937 | |
Help w/ Proof in Category Theory
January 6th 2009, 05:00 PM #1
Newbie
Joined
Dec 2008
Posts
5
Help w/ Proof in Category Theory
I don't understand this proof, specifically the part in red, I don't understand. Please help me understand this step in the proof. Thanks!
Let Tors be the category whose obj... | 4 | [
-0.11767578125,
0.03564453125,
0.0185546875,
-0.0093994140625,
-0.00726318359375,
0.0634765625,
0.0830078125,
-0.0228271484375,
0.007720947265625,
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0.045166015625,
-0.0230712890625,
-0.032958984375,
-0.07080078125,
0.0230712890625,
0.1318359375,
-0.01483154296875,
0... | 8,938 | 8938 | |
a more difficult statics problem (three force member)
October 17th 2009, 03:31 PM #1
Newbie
Joined
Sep 2009
Posts
10
a more difficult statics problem (three force member)
I really hate my statics book (hibbeler 12th edition). There are no example solutions of any three force members, and the author only ... | 5 | [
-0.050048828125,
0.019287109375,
-0.00634765625,
-0.0206298828125,
0.018310546875,
-0.025146484375,
0.02197265625,
0.009033203125,
-0.017333984375,
0.01226806640625,
0.045654296875,
-0.09912109375,
0.03076171875,
0.0166015625,
-0.020263671875,
0.01123046875,
-0.05029296875,
0.03637... | 8,939 | 8939 | |
Transform uniform numbers to numbers governed by probability density function
April 8th 2012, 04:25 AM #1
Newbie
Joined
Apr 2012
From
NZ
Posts
1
Transform uniform numbers to numbers governed by probability density function
Hi there MHF
I've got this problem which I'm stuck on. I'm generating ran... | 4 | [
0.023681640625,
0.0042724609375,
-0.05419921875,
-0.09912109375,
-0.01165771484375,
-0.07861328125,
-0.04150390625,
-0.0302734375,
-0.02880859375,
-0.00193023681640625,
-0.04736328125,
-0.033935546875,
0.04638671875,
0.06884765625,
0.06787109375,
0.00518798828125,
-0.07666015625,
-... | 8,940 | 8940 | |
Induction vs. Strong Induction
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is there ever a practical difference between the notions induction and strong induction?
Edit: More to the poin... | 5 | [
-0.03759765625,
-0.05419921875,
-0.01165771484375,
-0.0032806396484375,
0.0400390625,
-0.028076171875,
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0.007354736328125,
0.068359375,
0.0654296875,
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0.0673828125,
0.043701171875,
0.0037994384765625,
0.040771484375,
0.05908203125,
0.03271484375,
0.06396... | 8,941 | 8941 | |
Integrating exponential distribution
June 1st 2008, 03:02 PM #1
Newbie
Joined
Feb 2008
Posts
22
Integrating exponential distribution
$Prob(X \leq x | \theta) = 1 - e^{- \theta x}<br />$
$<br /> \theta$ is gamma distribution so that the PDF of $\theta$ is $g( \theta )$
$g( \theta ) = \frac{\beta... | 5 | [
-0.0498046875,
-0.05517578125,
-0.017333984375,
-0.1240234375,
-0.0203857421875,
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0.045654296875,
0.010498046875,
-0.0155029296875,
-0.0196533203125,
0.047607421875,
0.00970458984375,
0.06689453125,
0.01708984375,
-0.023681640625,
0.0301513671875,
0.09326171875,
... | 8,942 | 8942 | |
Interesting Integer Problem with Diophantine Equations
Date: 06/21/2005 at 11:19:09
From: Shamik
Subject: Number Theory: Finding out two positive numbers.....
Two positive integers are such that the difference of their squares is
a cube and the difference of their cubes is a square.
Find the smallest possible number... | 5 | [
-0.05029296875,
0.0615234375,
-0.07763671875,
0.049560546875,
-0.08544921875,
0.043701171875,
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-0.00946044921875,
0.017333984375,
-0.09130859375,
-0.0303955078125,
0.0235595703125,
0.06494140625,
0.049072265625,
0.05126953125,
0.048095703125,
0.0439453125,
0.02111... | 8,943 | 8943 | |
cos(x -2pi/3) = 1/2
March 20th 2014, 05:14 AM #1
Junior Member
Joined
Mar 2014
From
Canada
Posts
28
cos(x -2pi/3) = 1/2
Hi,
the question I have been working on is cos(x -2pi/3) = 1/2 -2pi<x<2pi
I know from one of the special triangles that cos(pi/3) = 1/2 = cos(x-2pi/3)
so cos(x-2pi/3)... | 4 | [
-0.1123046875,
0.0181884765625,
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0.00732421875,
0.026123046875,
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0.0196533203125,
0.1357421875,
-0.08837890625,
-0.0179443359375,
-0... | 8,944 | 8944 | |
Vector Spaces
April 18th 2009, 09:35 AM #1
Junior Member
Joined
Oct 2007
From
Bath, UK
Posts
25
Vector Spaces
Let V be a complex Vector Space, and a:V->V be a linear map.
a) Show that is a has finite order, then it is diagonalisable.
b) Let v in V be non-zero. Show that if there exists a sma... | 5 | [
-0.017333984375,
0.048583984375,
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0.013671875,
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0.05078125,
-0.0184326171875,
-0.06201171875,
-0.040771484375,
-0.005645751953125,
0.01... | 8,945 | 8945 | |
FInd exact value of the expression Sec(arctan -5/12)
June 30th 2008, 08:02 PM #1
Junior Member
Joined
Jun 2008
From
San Diego
Posts
26
FInd exact value of the expression Sec(arctan -5/12)
Hey guys i want to know if i am correct here
let y=arctan(-5/12)
sec y= 13/12 or 65 degrees
is thi... | 4 | [
-0.04638671875,
0.08056640625,
0.01239013671875,
-0.029541015625,
-0.00168609619140625,
-0.0419921875,
0.00775146484375,
0.0162353515625,
-0.006195068359375,
0.0064697265625,
0.1259765625,
-0.0072021484375,
-0.037353515625,
0.05322265625,
0.03564453125,
-0.033447265625,
-0.0112304687... | 8,946 | 8946 | |
Normalizer subgroup corresponding to a closed intermediate field
September 3rd 2012, 04:32 AM #1
Member
Joined
Aug 2009
Posts
170
Thanks
8
Normalizer subgroup corresponding to a closed intermediate field
Hello, this was another problem that I had difficulty with:
Let $F$ be a field extension of ... | 5 | [
0.06689453125,
0.0164794921875,
0.07666015625,
0.0155029296875,
0.08056640625,
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0.03271484375,
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-0.034912109375,
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0.0517578125,
-0.06396484375,
0.007... | 8,947 | 8947 | |
Further maths trig question
March 29th 2008, 07:12 AM #1
Newbie
Joined
Mar 2008
Posts
13
the question give states " a vertial pole stands horizontal to the ground, a man stands east of the pole and measures the elevation of the top as 45 deg, he moves due south 40 meters and meausers
42 deg what is th... | 4 | [
-0.022705078125,
0.11181640625,
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0.0032196044921875,
0.000009000301361083984,
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0.01495361328125,
0.02880859375,
0.04931640625,
0.0196533203125,
-0.08984375,
... | 8,948 | 8948 | |
S
16
SYMMETRY
Test for symmetry: Even and odd functions
LET THIS BE THE RIGHT-HAND SIDE of the graph of a function:
We will now draw the left-hand side -- so that the graph will be symmetrical with respect to the y-axis:
In this case,
f(−x) = f(x).
The height of the curve at −x is equal to the height of the curv... | 4 | [
-0.05029296875,
-0.006591796875,
0.037109375,
-0.0419921875,
0.033447265625,
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0.0634765625,
0.034912109375,
-0.048095703125,
-0.0196533203125,
-0.048095703125,
... | 8,949 | 8949 | |
cos(x)-sin(x) as single trigonometric function
July 18th 2010, 01:43 PM #1
Newbie
Joined
Jun 2010
Posts
11
cos(x)-sin(x) as single trigonometric function
Can anybody help me with this?
Show that cos(x) - sin(x) can be expressed in terms of a single trigonometric function. Then plot its graph.
M... | 4 | [
-0.0234375,
-0.0284423828125,
0.024169921875,
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0.025390625,
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0.0732421875,
-0.059326171875,
... | 8,950 | 8950 | |
prove identity
July 16th 2009, 12:10 PM #1
Super Member
Joined
Sep 2008
Posts
607
prove identity
Prove the following identites;
$cosecAsec^{2}A = cosecA +tanAsecA$
I know you have to use these identiests; $1 + tan^{2} A = sec^{2}A$
$1+ cot^{2} A = cosec^{2}A$
Hello Tweety
$\csc A \... | 4 | [
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0.05419921875,
-0.0115966796875,
-0.03955078125,
0.025634765625,
0.021850585937... | 8,951 | 8951 | |
factorial equation
March 13th 2010, 02:17 PM #1
factorial equation
Solve $x!+y!=z!$ in the set of non-negative integers.
It seems that $0!+1!=2!$ would work but I'm not totally sure. Is there any "official" solution or is guesswork the only way to go?
I believe this should be in the Number Theory Sectio... | 5 | [
-0.050537109375,
-0.041015625,
-0.0269775390625,
-0.0064697265625,
0.01153564453125,
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0.0150146484375,
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0.033203125,
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0.03466796875,
0.06640625,
0.047119140625,
0.03466796875,
0.045166015625,
0.0615234375... | 8,952 | 8952 | |
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Topic: Calculation of a not so simple integral
Replies: 4... | 5 | [
-0.0390625,
-0.00732421875,
-0.0103759765625,
0.0118408203125,
0.09814453125,
-0.049560546875,
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0.060791015625,
0.0498046875,
0.032958984375,
0.08544921875,
0.050048828125,
-0.046875,
0.03125,
-0.038330078125,
0.045654296875,
0.0712890625,
-0.0233154296875,
-0.0986... | 8,953 | 8953 | |
Math Help
August 23rd 2008, 08:38 PM #16
Without knowing the viewing capacity of the eye, the only answer you can give is a function of the optimal viewing distance $y$ as the maximal viewing angle $\alpha$ changes.
$y = \frac{230}{tan\alpha}$
alpha equalling x?
You can call it whatever you like as... | 5 | [
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0.042724609375,
0.10400390625,
-0.0267333984375,
0.018310546875,
0.072265625,
0.02954101... | 8,954 | 8954 | |
What Is the St. Petersburg Paradox
We’re on the streets of St. Petersburg, Russia, and an old man proposes the following game to us. He flips a coin (and will borrow one of ours if we don’t trust that his is a fair one). If it lands
tails up then we lose and the game is over. If the coin lands heads up then we win one ... | 4 | [
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0.07275390625,
-0.07568359375,
0.0238037109375,
-0.037841796875,
0.01275634765625,
-0.039794921875,
-0.03076171875,
-0.0225830078125,
-0.015319824... | 8,955 | 8955 | |
Complicated Indefinite Integrals - Concept
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Complicated Indefinite Integrals - Concept 9,212 views
Not all indefinite integrals follow one simple rule. Some are slightly more complicated, but they can be made ea... | 5 | [
0.003692626953125,
-0.053955078125,
0.10498046875,
0.026123046875,
0.06591796875,
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0.032958984375,
0.025390625,
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0.051513671875,
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-0.0152587890625,
-0.05029296875,
... | 8,956 | 8956 | |
pre cal questions... soo confused
September 25th 2008, 01:11 PM #1
Newbie
Joined
Sep 2008
Posts
1
pre cal questions... soo confused
Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is given by the equation below.
R... | 4 | [
0.07958984375,
0.06591796875,
-0.017333984375,
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0.009033203125,
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0.07177734375,
-0.09375,
0.051025390625,
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0.0211181640625,
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0.10205078125,
0.0302734375,
0.08203125,
0.0098876953125,
-0.0069580078125,
-0.1093... | 8,957 | 8957 | |
Splitting of the double tangent bundle into vertical and horizontal parts, and defining partial derivatives
up vote 9 down vote favorite
5
Let $M$ be a manifold and $g$ a metric on $M$. Let $TM$ denote the tangent bundle of $M$, and denote points in $TM$ by $(x,v)$ where $v \in T_xM$.
The Levi-Civita connection of $(... | 4 | [
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0.0966796875,
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0.10546875,
0.0303955078125,
-0.01544189453125,... | 8,958 | 8958 | |
clearification on Isomorphism question
April 22nd 2008, 10:33 PM
lllll
clearification on Isomorphism question
Let $B$ be an $n \times n$ invertible matrix. Define $\Phi: M_{n \times n}(F) \ \mbox{by} \ \Phi (A) =B^{-1}AB$ Prove that $\Phi$ is an isomorphism.
From the answer provided, it shows:
Let $A =... | 4 | [
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-0.00970458984375,
-0.06787109375,
0.125,
0.043701171875,
-0.02197265... | 8,959 | 8959 | |
Exhibit 3: Supernovae
Exhibit 3: Supernovae
The "accelerating universe" is considered the most profound question in science. The only direct evidence is from Type Ia supernovae. Low redshifts increase linearly, according to Hubble expansion.
High redshifts mysteriously curve upward, showing that ratio of an object... | 4 | [
-0.0556640625,
-0.058837890625,
0.01483154296875,
0.10302734375,
0.0517578125,
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0.041748046875,
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-0.07470703125,
0.0712890625,
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0.0361328125,
0.0164794921875,
-0.06640625,
0.0703125,
0.08154296875,
-0.09... | 8,960 | 8960 | |
Math Forum Discussions
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Topic: My final formal answer as to what classes are and ... | 4 | [
-0.0859375,
-0.029296875,
0.0186767578125,
-0.00732421875,
-0.061767578125,
0.0361328125,
0.0771484375,
0.0206298828125,
-0.07373046875,
-0.01495361328125,
-0.0198974609375,
-0.00013637542724609375,
0.041015625,
-0.0260009765625,
-0.0003032684326171875,
0.0439453125,
-0.02197265625,
... | 8,961 | 8961 | |
ri
#include <boost/math/special_functions/factorials.hpp>
namespace boost{ namespace math{
template <class T>
T double_factorial(unsigned i);
template <class T, class Policy>
T double_factorial(unsigned i, const Policy&);
}} // namespaces
Returns i!!.
The final Policy argument is optional and can be used to contr... | 4 | [
-0.130859375,
-0.002410888671875,
0.0029754638671875,
-0.0189208984375,
0.01470947265625,
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0.06787109375,
-0.07470703125,
-0.007598876953125,
-0.01336669921875,
-0.0299072265625,
0.01171875,
-0.0712890625,
0.005889892578125,
0.00408935546875,
0.... | 8,962 | 8962 | |
triangle construction
July 29th 2008, 11:19 AM #1
Member
Joined
Nov 2006
Posts
142
triangle construction
Can someone show me how to do this,
I'm given three lines L1, L2, and L3 meeting at a point and I'm also given a point X on one of the lines. Construct (with ruler and compass) the triangle XYZ w... | 4 | [
-0.083984375,
-0.00213623046875,
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0.019775390625,
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-0.0240478515625,
-0.0179443359375,
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-0.02783203125,
-0.04736328125,
0.05615234375,
0.006011962890625,
0.06689453125,
0.0869140625,
-0.1083984375,
-0.047... | 8,963 | 8963 | |
Approximation Runge's Theorem
up vote 2 down vote favorite
Let $X$ be a Riemann Surface and $K$ a compact subset of $X$. Every holomorphic function in $K$ be uniformly approximable on $K$ by holomorphic functions on $X$ if $X-K$ have no connected component
with compact closure in $X$.
Is the conversely also true?
ri... | 5 | [
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-0.0264892578125,... | 8,964 | 8964 | |
Linear Trigonomic Equation
November 23rd 2010, 05:07 PM #1
Newbie
Joined
Sep 2009
Posts
20
Linear Trigonomic Equation
Just a word problem thats bugging me:
The height, in metres, of a nail in a water wheel above the surface of the water, as a function of time, can be modelled by: h(t)=-4sin pi/4 (t-... | 4 | [
-0.10009765625,
0.09228515625,
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-0.02978515625,
-0.014892578125,
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0.10205078125,
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0.052001953125,
-0.0419921875,
0.034912109375,
-0.08642578125,
0.016113... | 8,965 | 8965 | |
Finding area of a rectangle as a function of x when...
February 26th 2010, 05:55 AM #1
Newbie
Joined
Feb 2010
Posts
6
Finding area of a rectangle as a function of x when...
A rectangle has a perimeter of 100 inches and one side has length x. Then, use the function found in the first part to find the dime... | 5 | [
0.031982421875,
0.042724609375,
0.03369140625,
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-0.030029296875,
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0.07568359375,
0.07373046875,
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0.041015625,
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0.162109375,
0.08203125,
0.06298828125,
0.0145263671875,
-0.007720947265... | 8,966 | 8966 | |
Show that A must be invertible
November 27th 2009, 02:42 PM
450081592
Show that A must be invertible
Let $P(x) = a0 + a1x + a2x^2 + ... + anx^n$ be a polynomial of degree n in x with real coefficients. For any mxm matrix A, we define $P(A) = a0Im + a1A + a2A^2 + ... + anA^n$.
Show that, if $P(A) = 0m$ and $a... | 5 | [
-0.06103515625,
0.054931640625,
-0.031982421875,
0.0732421875,
-0.0238037109375,
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-0.0869140625,
0.01513671875,
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0.1064453125,
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0.052734375,
0.005615234375,
-0.0234375,
0.07421875,
0.00136566162109375,
-0.031127... | 8,967 | 8967 | |
Convert negative decimal to binary
Working with negative numbers in binary you need to use twos complement method. It is a bit confusing to start with (well it was for me). I use it a lot for checksum calculations. Hope this helps.
Hi, I'm having trouble trying to figure out a code that converts negative decimal numbe... | 4 | [
0.02685546875,
0.068359375,
-0.03662109375,
-0.040771484375,
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0.0556640625,
0.0230712890625,
-0.044921875,
0.010498046875,
0.018310546875,
-0.00927734375... | 8,968 | 8968 | |
The missing leaf
December 8th 2006, 10:47 PM #1
Member
Joined
Oct 2006
Posts
185
Thanks
1
The missing leaf
A leaf was torn out from a book. The page numbers on the remaining pages of the book summed up to 1000. How many pages where there in this book at first? Which pages were torn out?
Thank yo... | 4 | [
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0.09375,
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-0.05419921875,
-0.078125,
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-0.0517578125,
0.03955078125,
0.00... | 8,969 | 8969 | |
Tetrahedron
August 25th 2009, 05:29 AM
thereddevils
Tetrahedron
In the tetrahedron ABCD , AB = BC =10 , $AC=8\sqrt{2}$ , AD=CD=8 cm and BD = 6 cm . Show that the line from C perpendicular to AB and the line from D perpendicular to AB meet at a point AB .
I can see from the sketch and deduce that they meet a... | 4 | [
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0.0390625,
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0.04296875,
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0.03515625,
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-0.04833984375,
0.0091552734375,
-0.06982421875,
-0.030029296875,
-0.083984375,
... | 8,970 | 8970 | |
Which Way Will my Bathtub Drain?
[Physics FAQ] - [Copyright]
Updated 1996 by MRF;
Original by Matthew R. Feinstein.
Which Way Will my Bathtub Drain?
Question: Does my bathtub drain differently depending on whether I live in the northern or southern hemisphere?
Answer: No. There is a real effect, but it is far too ... | 4 | [
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-0.058837890625,
0.051025390625,
-0.1142578125,
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0.03466796875,
0.03466796875,
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0.06396484375,
0.0211181640625,
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-0.0166015625,
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0.01483154... | 8,971 | 8971 | |
another continuos random variable
September 27th 2006, 05:59 AM
scorpion007
another continuos random variable
if X is a continuous random variable defined as:
f(x) = {
1/16x + 1/4, -4 <= x <= 0
-1/16x + 14, 0 <= x <= 4
}
a) what is the 0.8 quantile?
b) 45th percentile?
I know the b... | 5 | [
0.0074462890625,
0.08837890625,
0.03564453125,
-0.0625,
-0.034912109375,
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-0.00927734375,
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0.03125,
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0.1123046875,
-0.0294189453125,
0.03857421875,
0.0038299560546875,
-0.05200195312... | 8,972 | 8972 | |
Fermat's
July 24th 2008, 03:44 PM
kel1487
Fermat's
Find least nonnegative residue... n=99^999999 m=23
Let n be an integer. Prove each congruence below.
a. n^21 is congruent to n mod 30
b. n^7 congruent to n mod 42
c. n^13 is congruent to n mod 2730
Let a E Z and let p be a prime number. P... | 5 | [
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0.034912109375,
-0.05322265625,
-0.015869140625,
-0.07958984375,
0.0279541015625,... | 8,973 | 8973 | |
What natural numbers can be considered as the product of orders of elements of a finite (abelian) group
up vote 4 down vote favorite
3
Problem A5 from putname's competition 2009 asks to prove that there is no finite abelian group such that the product of order of its elements is equal to $2^{2009}$. Starting from this... | 4 | [
-0.052978515625,
-0.013916015625,
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0.048095703125,
-0.06591796875,
0.01287841796875,
0.0908203125,
-0.002441... | 8,974 | 8974 | |
expected value and variance
March 4th 2010, 12:06 PM #1
Newbie
Joined
Oct 2009
Posts
15
expected value and variance
A certain organism produces an average of $\mu$ offsprings with variance $\sigma ^2$. Each offspring produces likewise. What would be the expected number of offspring and its variance in th... | 4 | [
-0.04931640625,
-0.08935546875,
0.037109375,
-0.005401611328125,
-0.007293701171875,
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0.05078125,
0.02294921875,
0.06689453125,
0.0213623046875,
-0.0027313232421875,
-0.02587890625,
0.025634765625,
0.1201171875,
-0.006103515625,
-0.0294... | 8,975 | 8975 | |
fields and subfields
April 25th 2008, 11:38 AM #1
Junior Member
Joined
Apr 2008
From
Gainesville
Posts
68
fields and subfields
Assume Q[sqrt(2)] is a subfield of the Real field R, and prove that it is the smallest subfield of R that contains sqrt(2)
Q[sqrt(2)]= a + b(sqrt(2))
The way $\math... | 4 | [
0.0625,
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0.060302734375,
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-0.04296875,
0.03662109375,
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0.00138092041015625,
0.048095703125,
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0.001861572265625,
0.0038909912109375,
-0.04296875,
0.068359375,
-0.0028533935546875,
0.0... | 8,976 | 8976 | |
In the right triangles with sides...
April 20th 2010, 07:47 PM #1
Junior Member
Joined
Feb 2010
Posts
34
In the right triangles with sides...
In the right triangles with sides (3,4,5) and (5,12,13), one side is just 1 less than the hypotenuse. Find all such integer-sided right triangles. [If you cannot d... | 4 | [
-0.03515625,
0.1044921875,
0.0191650390625,
0.015380859375,
-0.032958984375,
0.09423828125,
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0.064453125,
0.0125732421875,
-0.09619140625,
-0.059814453125,
-0.06298828125,
-0.0196533203125,
0.03759765625,
-0.048828125,
-0.06298828125,
0.003662109375,
-0.041259765625... | 8,977 | 8977 | |
Order of Hx in Factor Group
November 29th 2007, 08:05 PM
temp31415
Order of Hx in Factor Group
Another Factor Group question
Question: Let G = U17 and H = <[4]> be the cyclice subgroup generated by [4] in G/H. Find the order of Hx where x = 2 or 3.
G = {1,2,3,...,16}
H = {4,8,12,16}
|G/H| = |G|... | 5 | [
0.047119140625,
0.0927734375,
0.04052734375,
-0.09716796875,
0.038330078125,
-0.0654296875,
-0.002166748046875,
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-0.0257568359375,
-0.040771484375,
0.0537109375,
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-0.047607421875,
-0.08935546875,
0.032470703125,
0.0140380859375,
-0.003... | 8,978 | 8978 | |
Equation for Pendulum Ride
June 16th 2011, 05:33 AM
starshine84
Equation for Pendulum Ride
At Canada's Wonderland, a thrill seeker can ride the Xtreme
Skyflyer. This is essentially a large pendulum of which the rider is the bob. The height of the rider is given for various times:
Time(s) 0 1 2 3 4 5 6 7... | 4 | [
-0.025390625,
0.04443359375,
0.0164794921875,
-0.06005859375,
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0.1044921875,
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0.12060546875,
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0.017578125,
-0.01361083984375,
0.01153564453125,
0.1044921875,
0.007537841796875,
0.02... | 8,979 | 8979 | |
Calculating Geometric Growth
We are familiar with geometric growth in the context of compound interest. You put $1000 in a savings account. Suppose that the account pays 4 percent interest annually. How much will you have in
the bank after 10 years?
The basic equation for growth is Y[t] = Y[0](1+r)^t
where Y[0] i... | 5 | [
0.0634765625,
0.048828125,
-0.07958984375,
-0.046875,
-0.01019287109375,
-0.0771484375,
-0.01458740234375,
0.0673828125,
-0.02587890625,
0.064453125,
0.050048828125,
-0.007232666015625,
0.035888671875,
0.1083984375,
0.035888671875,
0.06884765625,
-0.11181640625,
-0.01287841796875,
... | 8,980 | 8980 | |
Math Help
Consider the integral, $\int \frac{dx}{\sin^2 (2x) + \sin (2x ) + 1} = \int \frac{dx}{\left( \frac{2\tan x}{1+\tan^2x} \right)^2 + \left( \frac{2 \tan x}{1+\tan^2 x} \right) + 1}$ Which simplifies
to, $\int \frac{(1+\tan^2 x)(1+\tan^2 x) dx}{4\tan^2 x + 2\tan x + 1} dx = \int \frac{(1+\tan^2 x) (\sec^2 x)}{4... | 4 | [
0.01220703125,
0.032958984375,
0.115234375,
0.0546875,
0.041015625,
0.00738525390625,
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0.038330078125,
-0.010498046875,
-0.0024566650390625,
0.064453125,
-0.059814453125,
-0.0306396484375,
0.048095703125,
-0.08251953125,
-0.044921875,
0.0311279296875,
0.0717773437... | 8,981 | 8981 | |
Equation of tangent line
April 30th 2012, 12:34 PM
Foxlion
Equation of tangent line
Find equation of line tangent to the hyperbola $\frac{2}{x}$ at the point $(4,1/2)$
I can't see where the y-intercept comes from... $f' = -2x^{-2} \Rightarrow f'(4) = -\frac{1}{8}$ so the equation is $y = -\frac{1}{8}x + ?$
... | 4 | [
0.0181884765625,
-0.046630859375,
0.044677734375,
0.013427734375,
0.0693359375,
-0.01080322265625,
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0.10009765625,
0.060546875,
0.06494140625,
0.11328125,
-0.0498046875,
0.02685546875,
0.03857421875,
-0.046875,
0.142578125,
0.003936767578125,
-0.109375,
0.0005416... | 8,982 | 8982 | |
accelerated convergence to the mean using quadratic weights
up vote 7 down vote favorite
2
If the sequence $x_1,x_2,\dots$ is periodic, the unweighted averages $(\sum_{i=1}^n x_i)/n$ converge to the asymptotic average of the $x_n$'s with error $O(1/n)$, but the weighted averages $(\sum_{i=
1}^n i(n+1-i)x_i)/(n(n+1)(n+... | 4 | [
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Definition of the Limit
Date: 11/05/2002 at 22:13:06
From: Stephen Adams
Subject: Definition of the Limit
I need some help with the definition of the limit, particularly
choosing delta for a given epsilon. For example, consider the limit
as x approaches 2 of (x^2 + 3) = 7 with epsilon = .05. Here is my
work:
|x^2 + ... | 5 | [
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Geodesics on a torus
October 23rd 2011, 06:45 PM
mathswannabe
Geodesics on a torus
Hi All, i have been asked to investigate Geodesics on a Torus and their different properties.
Unfortunately I am getting nowhere after trying for 2 hours. I must be missing something crucial...
Given a parameterization f... | 5 | [
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IB Maths Resources
IB Maths and GCSE Maths Resources. Theory of Knowledge (ToK). Real life maths. Maths careers, Maths videos, Maths puzzles and Maths lesson resources.
The site is based around the idea of maths ToK – which tries to get students thinking about more than just syllabus content and to start exploring phi... | 5 | [
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prove existence of a subsequence that converges uniformly
April 26th 2010, 09:05 AM
derek walcott
prove existence of a subsequence that converges uniformly
Let fn be a uniformly bounded sequence of integrable functions on [a,b] (not necessarily continuous). Set
Fn(x) = integral (x to a) fn(t)dt
for x i... | 4 | [
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prove monotonicity of a sequence
Prove that the sequence (1+1/n)^(n+1) is monotonically decreasing,without using functions and derivatives.
\begin{align*}\left( {1 - \frac{1}{n}} \right)^n\left( {1 + \frac{1}{n}} \right)^n&= \left( {1 - \frac{1}{n^2}} \right)^n \ge\left( {1 - \frac{1}{n}} \right)\\ \left( {1 + \frac{1... | 4 | [
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-0.0... | 8,988 | 8988 | |
dy
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Here's the question you clicked on:
cander3 Group Title
If dy/dx=2xy and y(0)=... | 5 | [
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Ordering ambiguities and renormalization ambiguities
Greta asked:
I have been told that \[
[\hat x^2,\hat p^2]=2i\hbar (\hat x\hat p+\hat p\hat x)
\] illustrates
ordering ambiguity
.
What does that mean?
I tried googling but to no avail.
Thank you.
LM:
The ordering ambiguity is the statement – or the "problem... | 4 | [
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Two touching circles...
March 21st 2008, 05:54 AM #1
Member
Joined
Nov 2007
Posts
100
Two touching circles...
Fig. shows circles which are just touching. Find x by using pythagoras theorem.
I believe they're tangential circles.
Here's the figure:
p.s. i am a bit bad at drawing on pc. :P
... | 4 | [
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Finding a Potential for a field
November 22nd 2009, 10:53 AM #1
Junior Member
Joined
May 2009
Posts
36
Finding a Potential for a field
So im trying to find the potential for the following gradient
$F = <2xy,+3, x^2-3z, -3y>$
I've gotten a bunch of different answers, but none of them have been r... | 5 | [
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t
1) Students ask mathematical questions (that in turn drive their learning)
2) Students and teachers seem happy to be in class and proud of their contributions
3) Students and teachers relate what they learn to what they already know (in math and in their lived experience) and to what they want to know more about/do ... | 4 | [
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Linear Diophantine Equations
May 15th 2006, 04:02 AM
delpin
Linear Diophantine Equations
Hi
I'm looking for help on solving Linear Diophantine Equation
15y + 27x = 39
partial solution
y = (39-27x)/15
y = (39 - 12x - 15x)/15
y = (39 - 12x)/15 - x
Next step? I'm unsure
Thanks... | 5 | [
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Need help on proofs
July 12th 2010, 03:16 PM
rowdy3
Need help on proofs
Suppose all you know about a function f is that f(ab)= f(a) + f(b), A(upsidedown) a, b greater than 0.
Find f(1).
Here's a picture of it. It's part c. Thanks.
http://pic90.picturetrail.com/VOL237.../389570493.jpg
July 12th 2010,... | 4 | [
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Using functions (subroutines)
03-14-2003
DoItAllMom115
Using functions (subroutines)
I need to write a program to calculate time it takes (in increments of 10 seconds) to drain a tank of radius 2ft and height3ft
I have to use a function to get full credit
I am having major trouble, can anyone help?
... | 4 | [
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The Top of the Tower
Date: 07/20/2001 at 15:02:38
From: Ashley Sherman
Subject: Word problem
Given a 300-mile-tall tower on the earth, how far away from it can you
go before the top disappears below the horizon? (Assume unlimited
visibility.)
We've drawn diagrams and triangles to try to figure it out using
trigonom... | 5 | [
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Math Help
how do I find the antiderivate to: cot(x+4) and xarccot(4x) ??
Last edited by weasley74; March 11th 2008 at 09:18 AM.
Last edited by ThePerfectHacker; March 16th 2008 at 06:23 PM.
$\int \cot^2(x+4)~dx$ $\int \frac{\cos^2(x+4)}{\sin^2(x+4)}~dx$ Let $u = x + 4$, then $du = dx$. $\int \frac{\cos^2 u}{\sin^2 ... | 5 | [
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Tangent Line
January 26th 2010, 07:12 PM
l flipboi l
Tangent Line
Hello,
Can someone please help me with the algebra?
I'm getting stuck =/
Problem:
$y = x-1/x-2$
$P(3,2)$
I'm using:
$Lim f(x) - f(a) / x - a$
am I setting it up correctly?
$Lim (x-1/x-2) - 2 / (x - 3)$
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