content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Wolfram Demonstrations Project
Exploring Surface Curvature and Differentials
This Demonstration shows the relationship between the principal curvatures of a surface and the differential of the unit normal of the surface. The differential at a point may be viewed as a linear
transformation of the tangent plane at the p... | 4 | [
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Mathematical induction and Boole's Law
Use the additive law of probability to establish, using mathematical induction, Boole's Law: $P(A_{1}\cup A_{2}\cup...\cup A_{n})\leq P(A_{1}) + P(A_{2})+...+P(A_{n})$
Common proofs like this one can be found online. Here is one: http://www.andrew.cmu.edu/course/21-228/lec7.pdf T... | 5 | [
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... | 16,901 | 16901 | |
permuting vectors
May 1st 2006, 09:44 AM #1
Newbie
Joined
May 2006
Posts
2
permuting vectors
Let v=(x[1],...,x[n]) be a n-dimensional real vector. Find the dimension of the subspace of R^n spanned by v and all vectors obtained by permuting the components of v.
The answer is "it depends". Consider, f... | 5 | [
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Adding trig functions
February 24th 2010, 02:04 PM #1
Member
Joined
Sep 2009
Posts
181
Adding trig functions
Hello,
Can someone please tell me how to add trig functions?
for example, what do you add cos2x? is it cosx+cosx = cos2x?
Using the identity
$\cos(a + b) = \cos a \cos b - \sin... | 4 | [
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Patent US5701395 - Method of programming a polynomial processor
RELATED INVENTIONS
The present invention is related to the following inventions which are assigned to the same assignee as the present invention:
(1) "Artificial Neuron and Method of Using Same", having Ser. No. 08/076,602, filed Jun. 14, 1993.
(2) "Con... | 4 | [
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Solutions
67. (a) Consider the infinite integer lattice in the plane (i.e., the set of points with integer coordinates) as a graph, with the edges being the lines of unit length connecting nearby points. What
is the mini... | 5 | [
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Patent US5312443 - Arrhythmia-detection criteria process for a cardioverter/defibrillator
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to detection methods for cardiac arrhythmias, and more particularly, to methods of improved accuracy for identifying the presence of c... | 4 | [
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finding the CDF
September 19th 2013, 01:09 AM
99.95
finding the CDF
Please refer to the attached image.
For part a)
when I want to find the CDF, don't I simply take the indefinite integral of e^-|x|, multiply it by c and solve for that = 1?
I am unsure of how to take the integral for this, am i co... | 4 | [
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Can somebody please show me how to solve these 2 problems step by step?
5. [12x/ (5xy^4)] - [9y^2/(15x^3y^2)] 6. [6/(x+2)] + 11/ (x-7)
6. [6/(x+2)] + 11/ (x-7) We find the LCD of the two fractions and that is (x+2)(x-7) So now we build the fraction to had the LCD $\frac{6}{(x+2)}\frac{(x-7)}{(x-7)}+\frac{11}{(x-7)}\fr... | 4 | [
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How to solve a second order diff eq?
Register to reply
by Binaryburst
Tags: differetial, equations
P: 24 If have this equation:
[itex] \frac {d^2x}{dt^2}=-\frac{x}{1+x^2} [/itex]
... | 5 | [
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Entropic force
Mapes
But it is! Energy can be written in differential form as [itex]dU=T\,dS+F\,dL[/itex]. (You may have seen this as [itex]dU=T\,dS-P\,dV[/itex], but let's assume a polymer chain in a vacuum here.) With
no collisions and thus no energy exchange, [itex]dU\approx 0[/itex]. Thus, the force [itex]F[/ite... | 4 | [
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... | 16,910 | 16910 | |
If x is an integer, does x have a factor n such that 1 <
Author Message
TAGS:
If x is an integer, does x have a factor n such that 1 < [#permalink] 08 Sep 2010, 10:52
5
... | 4 | [
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MathGroup Archive: December 2006 [00331]
[Date Index] [Thread Index] [Author Index]
Re: How to solve this equation?
• To: mathgroup at smc.vnet.net
• Subject: [mg72188] Re: How to solve this equation?
• From: Jean-Marc Gulliet <jeanma... | 5 | [
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Trig Equations with Multiple Trig Functions cont.
April 6th 2008, 05:23 PM #1
Trig Equations with Multiple Trig Functions cont.
Find, to the nearest tenth of a degree, all values of x in the interval 0≤x≤360 that satisfy the equation.
tan x=cos x
also solve for x in the interval 0≤x≤2π
cos ½x= cos... | 4 | [
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0.06982421875... | 16,913 | 16913 | |
An Improved Walsh Function Algorithm for Use in Sinusoidal and Nonsinusoidal Power Components Measurement
Journal of Energy
Volume 2013 (2013), Article ID 807639, 10 pages
http://dx.doi.org/10.1155/2013/807639
Research Article
An Improved Walsh Function Algorithm for Use in Sinusoidal and Nonsinusoidal Power Componen... | 4 | [
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sequence question
November 14th 2007, 09:11 AM #1
Member
Joined
Nov 2006
Posts
142
sequence question
Could someone show me what to do here:
For each positive integer n, let fn be the function defined by
fn(x) = x^2n + x^(2n−1) + ... + x^2 + x + 1. Let mn be the minimum of fn on the interval [−1,0... | 4 | [
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Overview
37.1 Overview
Least-squares fits are found by minimizing \chi^2 (chi-squared), the weighted sum of squared residuals over n experimental datapoints (x_i, y_i) for the model Y(c,x),
\chi^2 = \sum_i w_i (y_i - Y(c, x_i))^2
The p parameters of the model are c = {c_0, c_1, …}. The weight factors w_i are given ... | 4 | [
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Finding the minimum of an unknown function by the least amount of tries
Hi All,
I completed the Fibonacci Search program. Because I could not find a C/C++ sample program, I will add my work in here, maybe it will help somebody else. I used Borland C++ Builder, but it is simple
enough to be ported to other platforms.
... | 4 | [
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Simple GCSE Binomial Distribution Question
June 23rd 2010, 03:42 AM #1
Newbie
Joined
Jun 2010
Posts
1
Simple GCSE Binomial Distribution Question
Hello posters, i am just wondering if you could help me out here; I have my GCSE exam in two days and having left school without a mark scheme - please could yo... | 4 | [
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another simple statics problem
October 16th 2009, 03:33 PM
hairy
another simple statics problem
Unfortunately, there are no examples in the book like this and I don't have any physics books.
http://dl.getdropbox.com/u/594924/5-54.jpg
The answer in the back of the book says k = 11.2 lb/ft. But the spring... | 5 | [
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Parametric Equations of a Line
July 3rd 2009, 01:29 PM
adkinsjr
Parametric Equations of a Line
I am to find the parametric and vector equations for the line passing through the given points.
P(0, 1/2, 1) Q(2, 1, -3)
The line through the points is parrellel to:
V = rq - rp (q and p are subscripts cor... | 4 | [
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Patent US6687507 - Time of arrival estimation for edge/GSM
This application claims priority under 35 U.S.C. §119(e) to U.S. Provisional application No. 60/201,427 filed on May 3, 2000, the entire disclosure of which is herein expressly incorporated by
reference.
FIELD OF INVENTION
The present invention relates to the... | 4 | [
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Terahertz Generation in an Electrically Biased Optical Fiber: A Theoretical Investigation
International Journal of Optics
Volume 2012 (2012), Article ID 486849, 6 pages
http://dx.doi.org/10.1155/2012/486849
Research Article
Terahertz Generation in an Electrically Biased Optical Fiber: A Theoretical Investigation
Dep... | 4 | [
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[Waves] Standing waves problem (possibly...)
1. The problem statement, all variables and given/known data
The A-string (440Hz) on a piano is 38.9cm long and is clamped tightly at both ends. If the string is under 667-N tension, what is its mass?
2. Relevant equations
[tex]\lambda[/tex] = vT
[tex]\mu[/tex] = mass/leng... | 4 | [
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Uniformly Continuous.
March 12th 2010, 07:41 AM
charikaar
Uniformly Continuous.
Prove or disapprove f(x) is uniformly continuous
f(x)=(sinx)/x for x not equal to zero.
and f(x)=1 for x=0
I know f(x) is uniformly continous but I can't prove it. how do i show the derivative $(xcosx-sinx)/x^{2}$ is bou... | 4 | [
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Greatest Common Divisor Proof
March 15th 2011, 02:49 PM #1
Member
Joined
Nov 2010
Posts
86
Greatest Common Divisor Proof
Some help with the following proof would be appreciated:
Prove that for all k,m,n in the set of Integers,
gcd(km, kn) = |k|gcd(m, n)
We have the following propositions ... | 4 | [
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integration by substitution
It's a good idea to get a common denominator... \displaystyle \begin{align*}\int{\frac{1}{e^x + e^{-x}}\,dx} &= \int{\frac{1}{e^x + \frac{1}{e^x}}\,dx} \\ &= \int{\frac{1}{\frac{e^{2x} + 1}{e^x}}
\,dx} \\ &= \int{\frac{e^x}{e^{2x} + 1}\,dx} \end{align*} Now make the substitution $\displaysty... | 5 | [
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Parametric equations.
May 2nd 2009, 05:07 PM #1
Newbie
Joined
Mar 2009
Posts
8
<Any Help would be greatly appreciated>
This stuff confuses me
6. Elimante the parameter and write the corresponding rectangular equation adjustin the domain as necessary for the parametric equations x=2cosų and y=3sin... | 4 | [
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-0.111328125,
-0.06787109375,
0... | 16,927 | 16927 | |
Path Integral
May 26th 2010, 12:48 PM
Scottyd61891
Path Integral
I'm having some issues with this path integral.
The vector field is F=<x,-y,-z>
The path is defined by c(t)=(sint, cost, t)
and t is from 0 to 3pi/2
How I have it set up, it turns out to be the integral of 2cos(t)sin(t) -t +1 from ... | 5 | [
-0.05224609375,
0.0024871826171875,
-0.043701171875,
0.001495361328125,
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0.06884765625,
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0.0272216796875,
-0.006256103515625,
0.034423828125,
-0.0133056640625,
-0.006134033203125,
-0.02... | 16,928 | 16928 | |
Prove Theorem
December 31st 2006, 09:41 PM
ruprotein
Prove Theorem
Does anyone know how to write a FORMAL PROOF for (For all real numbers x)(-(-x)=x)
using the definition (For all real numbers x)(-x = 0-x)
So i need to obviously use the axioms of arithmitec etc... any1 can help me do it? it should take a... | 5 | [
-0.07177734375,
0.034423828125,
0.07080078125,
-0.00110626220703125,
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0.05126953125,
0.0322265625,
-0.05517578125,
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0.103515625,
0.038330078125,
0.03125,
-0.032958984375,
-0.013671875,
0.007476806640... | 16,929 | 16929 | |
PDE Initial Condition Question
November 30th 2010, 02:46 AM
MelodicRhapsody
PDE Initial Condition Question
Hello,
I have the following PDE:
$u_t = k u_xx$
with $u(x,0) = f(x), u_x(0,t) = u_x(L,t) = 0$
which I solve using separation of variables by letting $u = XT$.
Now, for the conditions... | 4 | [
-0.046875,
-0.01190185546875,
0.049072265625,
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0.03076171875,
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0.036376953125,
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0.005340576171875,
0.0037384033203125,
-0.04614257... | 16,930 | 16930 | |
Solve a system equation
naoufelabs
3^x-2^y=19
y^3-2^x=19
x,y real number!
The first equation below is wrong, so everything below it is also invalid.
You apparently took the natural log of both sides, like so:
ln(3
^x
- 2
^y
) = ln(19)
Then you "distributed" the ln operation like this:
ln(3
^x
) - ln(2
^... | 4 | [
-0.045166015625,
-0.10400390625,
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0.008239746... | 16,931 | 16931 | |
Greedy Algorithm
An Activity Selection Problem
An activity-selection is the problem of scheduling a resource among several competing activity.
Problem Statement
Given a set S of n activities with and start time, S[i ]and f[i], finis... | 5 | [
0.0380859375,
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Linear Algebra - Determinant Properties
I hate to disagree with gabbagabbahey, but you haven't answered the questions at all!
lubricarret
1. The problem statement, all variables and given/known data
1. Give an example of a 2x2 real matrix A such that A^2 = -I
2. Prove that there is no real 3x3 matrix A with A^2 = ... | 4 | [
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0.0126953125,
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0.0068359375,
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0.01342773... | 16,933 | 16933 | |
Help with Intro to Abstract Math Class...
March 19th 2006, 06:09 PM
erinthered
Help with Intro to Abstract Math Class...
Let A and B be sets and X and Y be subsets of A. Let f : A --> B be
a function. Prove that f(X) - f(Y) is a subset of f(X - Y).
I'm not very comfortable with sets to begin with, but n... | 5 | [
0.007781982421875,
0.031005859375,
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0.0380859375,
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-0.05517578125,
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0.0654296875,
-0.0005035400390625,
-0.101074... | 16,934 | 16934 | |
of Proton
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ┃
... | 4 | [
-0.0322265625,
0.0135498046875,
0.01019287109375,
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0.01397705078125,
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0.02587890625,
0.11328125,
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0.05615234375,
-0.07080078125,
-0.000579833984... | 16,935 | 16935 | |
Bandwidth Management in Wireless Home Networks for IPTV Solutions
International Journal of Digital Multimedia Broadcasting
Volume 2013 (2013), Article ID 474212, 7 pages
http://dx.doi.org/10.1155/2013/474212
Research Article
Bandwidth Management in Wireless Home Networks for IPTV Solutions
^1Deutsche Telekom AG—Prod... | 4 | [
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0.123046875,
-0.08... | 16,936 | 16936 | |
Inverse element proving
April 13th 2013, 09:33 AM #1
Newbie
Joined
Mar 2013
From
Israel
Posts
8
Inverse element proving
Hello there,
Given a, b, c elements of the set G, and G being a group relating to the * operator.
(a * b) is the inverse element of itself.
How can I prove that (b * a... | 4 | [
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0.024291992... | 16,937 | 16937 | |
Algebra 2 Super Challenge Problem!
November 4th 2012, 11:13 PM #1
Newbie
Joined
Nov 2012
From
Texas, US
Posts
5
Hello everyone, this is my first post in the Math Help Forum. I was wanting to know if anybody out there can prove that x = 3 (without just 'plugging it' in) in this equation that my friend ... | 5 | [
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... | 16,938 | 16938 | |
Function to transition between 2 points (gradually changing slope)
March 30th 2013, 08:07 AM
Skrymir
Function to transition between 2 points (gradually changing slope)
Hi, I'm new here and I'm not sure if this is the right section or not if it is in the wrong section please let me know and I'll post it there ins... | 5 | [
-0.0869140625,
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0.040771484375,
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0.036865234375,
-0.1044921875,
... | 16,939 | 16939 | |
Some calc questions
May 13th 2006, 12:55 PM
nirva
Some calc questions
I'm having problems with some definite intergral questions
Int2-1 (Ln(x)/x^2) dx
I got 1 as a result from that, but it's different from the answer, I'm wondering about how to do it?
Also
Int cos(Ln(x)) dx
Can anyone als... | 5 | [
-0.037841796875,
-0.0257568359375,
0.103515625,
0.0103759765625,
0.0322265625,
-0.08984375,
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0.05615234375,
0.0245361328125,
0.013427734375,
0.0859375,
-0.00003266334533691406,
0.0130615234375,
0.0155029296875,
-0.044921875,
-0.0299072265625,
-0.0255126953125,
-0.... | 16,940 | 16940 | |
Factoring
September 29th 2007, 12:01 PM
Adrian
Factoring
I have to evaluate a limit, which I know how to do, but the problem I'm having is the factoring.
(x^3+2x^2-9x-18)/(x^2-9)
I know the denominator factors to (x+3)(x-3) but I can't do the numerator when there's 3 different levels of exponents for x... | 4 | [
-0.0186767578125,
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0.10498046875,
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0.087890625,
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0.040771484375,
-0.0703125,
0.0166015625,
-0.01... | 16,941 | 16941 | |
the encyclopedic entry of Compact symplectic group
In
mathematics
, the name
symplectic group
can refer to two different, but closely related, types of mathematical
groups
. In this article, we shall denote these two groups Sp(2
n
,
F
) and Sp(
n
). The latter is sometimes called the
compact symplectic gro... | 4 | [
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0.0163574218... | 16,942 | 16942 | |
Density operator quantum mechanics
I have the following situation: About the polarization of the photon, I introduce the basis:
Horizontal polarization $|\leftrightarrow>=\binom{1}{0}$
Vertical polarization $|\updownarrow>=\binom{0}{1}$
The density matrix in this problem is:
$$\rho =\frac{1}{2}\begin{pmatrix}
1+\x... | 4 | [
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0.00592041015625,
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0.03369140625,
-0.08447265625,
-0.0678... | 16,943 | 16943 | |
value of m
January 21st 2013, 05:09 AM
rcs
value of m
solve for x^2 - mx - 5 whose sum of roots is 6. find m.
can any body help me on this ?
thanks
January 21st 2013, 05:28 AM
Plato
Re: value of m
January 21st 2013, 06:35 AM
rcs
Re: value of m
January 21st 2013, 01:59 PM
Plato
Re: value of m
... | 4 | [
-0.0537109375,
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0.01226806640625,
0.076171875,
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0.00297546... | 16,944 | 16944 | |
Stokes' Theorem
April 4th 2011, 05:52 AM #1
Stokes' Theorem
Show, using Stokes' Theorm, that
$\oint_C \phi abla \phi \cdot \mathbf{dl} = 0$
Firstly Stokes gives us:
$\oint_C \phi abla \phi \cdot \mathbf{dl} = \int_S abla \times [\phi abla \phi] \cdot \mathbf{dS}$
Expanding $abla \times [\phi (... | 4 | [
-0.049072265625,
-0.040283203125,
0.054931640625,
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0.030029296875,
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0.08984375,
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0.0284423828125,
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0.043701171875,
-0.06787109375,
0... | 16,945 | 16945 | |
Substitutions & Partial Fractions
September 20th 2009, 03:37 PM #1
Newbie
Joined
Sep 2009
Posts
10
Substitutions & Partial Fractions
$\int \frac {\sqrt{4-x^2}}{x}dx$
I was thinking along the lines of $x = \cos u$ because $\sin^2x = 1 - \cos^2 x$, but I don't know where to take it.
Also, a part... | 4 | [
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-0.0244140625,
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0.053955078125,
0.0390625,
-0.02392578125,
0.1416015625,
0.04370117187... | 16,946 | 16946 | |
quadratic equations
August 25th 2009, 10:12 AM #1
Member
Joined
Aug 2009
Posts
211
quadratic equations
hi, could anyone help me understand how to do quadratic equations. i've got the equation $3x^2 - 7x + 2$ and it needs to be factorised. i was hoping someone could show me a systematic way of
doing i... | 4 | [
-0.0234375,
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0.02978515625,
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0.0252685546875,
0... | 16,947 | 16947 | |
Proof of PSF quadratic factorising
Hi! I came across the below thread where a user ('krackers') asked for a proof of the PSF factorising method for quadratic equations.
The thread is now closed so I'd like to post my proof here.
(The proof considers the simplest case where there are no common factors for a,b,c in the... | 4 | [
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0.032470703125,
0.08203125,
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0.09130859375,
-0.0026397705078125... | 16,948 | 16948 | |
Physics Forums - View Single Post - Zeros of a polynomial
1. The problem statement, all variables and given/known data
Find the zeros of the polynomial
[tex]P(x) = x^4-6x^3+18x^2-30x+25[/tex]
knowing that the sum of two of them is 4.
2. Relevant equations http://en.wikipedia.org/wiki/Vi%C3%A8te%27s_formulas 3. The... | 4 | [
-0.06787109375,
0.032958984375,
0.0234375,
0.017822265625,
-0.040771484375,
0.00165557861328125,
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0.026123046875,
0.0830078125,
-0.0322265625,
0.07373046875,
-0.0859375,
0.0133056640625,
0.005767822265625,
-0.0206298828125,
0.056884765625,
-0.06591796875,
0.029418945... | 16,949 | 16949 | |
Two Liner Algebra Problems
August 17th 2009, 05:43 PM #1
Junior Member
Joined
Jun 2009
Posts
58
Hello
1.-Could you please help me to find all solutions to the following system of equations.
$(1-i)x-iy=0$
$2x+(1-i)y=0$
2.-Prove that the interchange of two rows of a matrix can be accomp... | 4 | [
-0.10205078125,
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0.040771484375,
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0.04443359375,
0.0191650390625,
-0.043701171875,
0.051513671875,
-0.07470703125,
0.0157... | 16,950 | 16950 | |
Basic integration is beyond me...
September 25th 2009, 02:24 PM
sadmath
Basic integration is beyond me...
For a question in stats I need to integrate a function.(Worried)
$\int_0^1(x(ce^{2x})dx)$
I don't know the first thing about integration. So I was hoping for a little help in this part of the quest... | 5 | [
-0.00604248046875,
0.0245361328125,
0.07861328125,
0.051513671875,
0.03857421875,
-0.01953125,
-0.040771484375,
0.11767578125,
-0.03173828125,
0.037841796875,
0.0546875,
-0.111328125,
-0.005523681640625,
0.0120849609375,
-0.040771484375,
-0.038330078125,
-0.045654296875,
-0.0227050... | 16,951 | 16951 | |
Just a simple derivation question.
April 28th 2008, 07:36 PM #1
Member
Joined
Sep 2007
Posts
140
Just a simple derivation question.
h(t) = log(base3)[log(base2)(t)]
Evaluate for h'(8).
This is what I have so far:
Let g(x) = log(base2)(t)
g'(x) = 1 / (t ln2)
Therefore.
h'(t) = ... | 5 | [
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0.036865234375,
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0.08... | 16,952 | 16952 | |
Finding point closest to origin
November 7th 2012, 09:03 PM #1
Junior Member
Joined
Oct 2012
From
US
Posts
37
Finding point closest to origin
I have finished this problem but I'm not quite sure if this has 2 answers or 1. Here is the question.
Find the points on the parabola y= 9/2 - x^2 that ar... | 5 | [
0.035888671875,
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0.01226806640625,
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0.171875,
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0.027099609375,
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-0.01507568359375,
0.0908203125,
-0.115234... | 16,953 | 16953 | |
Using Hooke's Law to solve a problem
February 4th 2014, 03:51 PM #1
Using Hooke's Law to solve a problem
I have an assignment with the following problems...
The natural length of a certain spring is 16 inches and a force of 8 pounds is required to keep it stretched 8 inches. Find the work done in each case.... | 5 | [
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0.08837890625,
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0.04638671875,
0.019775390625,
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0.00007104873657226562,
0.02197265625,
-0.043212890625,
0.0390625,
-0.03149414062... | 16,954 | 16954 | |
Challenge Integral
Last edited by CaptainBlack; May 24th 2011 at 06:55 PM. Reason: Approved
Okay, following from the hint, here is the solution: \displaystyle \begin{aligned} I_{n} & = \int_{0}^{a}\frac{x^n+b}{x^n+(a-x)^n+2b}\;{dx} \\& = \int_{0}^{a}\frac{(a-x)^n+b}{(a-x)^n+x^n+2b}\;{dx} \\
& = \frac{1}{2}\int_{0}^{a}... | 5 | [
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Patent US6148313 - Correlator method and apparatus
This application claims the benefit of U.S. Provisional Application No. 60/042,836 filed Apr. 9, 1997.
BACKGROUND OF THE INVENTION
1) Field of the Invention
This invention pertains to the field of digital signal processing and, more particularly, to digital correlat... | 4 | [
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Equation Involving Rational Expressions
October 5th 2007, 03:33 PM
Billy Reloaded
Equation Involving Rational Expressions
3 - x = 1 - 2x - 5
x - 2 1 x + 2
The Answer: 5
2
No idea how to get there, please help.
October 5th 2007, 03:57 PM
topsquark
Quote:
Is this
$\frac{3 - x}{x ... | 4 | [
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Lower and Upper Solutions Method for Positive Solutions of Fractional Boundary Value Problems
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 847184, 7 pages
http://dx.doi.org/10.1155/2013/847184
Research Article
Lower and Upper Solutions Method for Positive Solutions of Fractional Boundary Value Problem... | 5 | [
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Luhn algorithm
From Wikipedia, the free encyclopedia
The Luhn algorithm or Luhn formula, also known as the "modulus 10" or "mod 10" algorithm, is a simple checksum formula used to validate a variety of identification numbers, such as credit card
numbers, IMEI numbers, National Provider Identifier numbers in US and Can... | 4 | [
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Ordinary differentiation equations (ODE)-seperable
March 24th 2010, 07:34 AM #1
Member
Joined
Nov 2009
Posts
151
Ordinary differentiation equations (ODE)-seperable
hey there..
i've got unsolved solution here..
Solve initial value problem..
xy’ – y = 2x2y ; y(1) = 1
x dy/dx = y + 2x2y... | 5 | [
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integrate cos^3(x)
July 6th 2009, 12:22 AM
slaypullingcat
integrate cos^3(x)
Hi, how do I integrate cos^3(x)?
I split it into cos(x)[1/2(1+cos(2x)] and then removed the constant of a 1/2 from the integration. Then I mutilpied through by cos(x) and got cos(x)+cos^2(2x), which didn't really help.
Then I ... | 5 | [
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Finals. Quick polar questions
May 28th 2008, 05:14 PM #1
Junior Member
Joined
Dec 2006
Posts
40
Finals. Quick polar questions
Alright. Thank you very much for your help in advance. I went thru all these problems myself and had questions on these particular ones. They shouldn't be too bad.
1) Convert... | 4 | [
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help me find dimensions of rectangle and triangles
March 29th 2008, 11:40 AM #1
Newbie
Joined
Mar 2008
Posts
16
help me find dimensions of rectangle and triangles
a rectangular pen is subdivided by two dividers that meet at the midpoint P of the base of the rectangle. ( the picture is a rectangle, in whi... | 4 | [
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Real Analysis - Find the pointwise limit of fn, is the convergence uniform?
March 5th 2013, 05:38 PM #1
Newbie
Joined
Dec 2012
From
United States
Posts
8
Real Analysis - Find the pointwise limit of fn, is the convergence uniform?
Let f[n] = $\frac{1}{n(1+x^2)}$. Find the pointwise limit of fn. Is the... | 5 | [
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Differential equation-
August 28th 2006, 03:57 AM #1
Junior Member
Joined
May 2006
Posts
37
Differential equation-
A girl lives 500 metres from school. She sets out walking at 2m/s, but when she has walked a distance of x metres her speed has dropped to (2-x/400)m/s. How long does she take to get to scho... | 5 | [
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Trig Simplification
February 4th 2011, 05:57 PM
rtblue
Trig Simplification
Hey guys, I have a pretty botchy understanding of trigonomety. My class has not started trigonometry yet, but I was interested so I tried to learn some. The question I have is this:
$Evaluate: \sin(\frac{\pi}{4}) - \cos(\frac{\pi}{3}... | 4 | [
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Math Help
February 22nd 2010, 02:17 PM #1
Junior Member
Joined
Aug 2009
Posts
62
Integral
HI,
I must show that: $(\forall n\in \mathbb{N}) \sum_{k=0}^n \frac{(-1)^kx^k}{k!}+(-1)^{n+1}\int_0^{x} \frac{(x-t)^n}{n!}e^{-t} dt= e^{-x}$
I find that the expression is true for n=0; but i don't know ho... | 5 | [
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implicit differentianion- the algebra of it
October 24th 2009, 06:11 AM #1
Junior Member
Joined
Apr 2009
Posts
37
implicit differentianion- the algebra of it
I hope I can get some help understanding the math of this problem. The problem is 2x^(2/3) + y^(2/3). I did this: d/dx (y^2/3) = -d/dx ((-2x^(2/3).... | 5 | [
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Please help. 3D Intersection
January 18th 2008, 04:21 AM #1
Newbie
Joined
Dec 2007
Posts
10
Please help. 3D Intersection
I have been trying so long to do this simple thing. I have two 3D line segments, each represented by two points. I need to know if and where these two lines intersect, but I need a met... | 5 | [
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Untangling the Interplay between Epidemic Spread and Transmission Network Dynamics
Abstract
The epidemic spread of infectious diseases is ubiquitous and often has a considerable impact on public health and economic wealth. The large variability in the spatio-temporal patterns of epidemics
prohibits simple intervention... | 4 | [
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Curvature Proof Problem
1. The problem statement, all variables and given/known data
If c is given in terms of some other parameter t and c'(t) is never zero, show that
k = ||c'(t) x c"(t)||/||c'(t)||^3
The first two parts of this problem involved a path parametrized by arc length, but this part says nothing about tha... | 4 | [
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A question on Cosine.
Hi all, I did'nt know how to write formula here. So:
Hi, (Edited) The full theorem is: $\cos x=\cos a \Rightarrow x=2k\pi\pm a$ for some integer k. In other words, $\cos x=\cos a \Rightarrow \exists k\in\mathbb{Z}<img src=$x=2k\pi+a)\lor (x=2k\pi-a)"
alt="\cos x=\cos a \Rightarrow \exists k\in\ma... | 4 | [
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volume of wedge cut from cylinder
December 24th 2007, 10:43 AM #1
volume of wedge cut from cylinder
Here's a cool calc problem you may wish to tackle. Perhaps you've seen it before.
"A wedge is cut from a cylinder of radius r by two planes, one perpendicular to the axis of the cylinder and the other making a... | 5 | [
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0.0... | 16,973 | 16973 | |
Derivative question
April 24th 2010, 06:47 AM
Cudaz
Derivative question
Hello everyone, seeing as I'm not a natural English speaker, I'll try my best to express my problem in English terms, fingers crossed :).
The image of the function:
$f(x)=x^3-4x^2+x-1$
is a line 'l'.
a) write an equation of... | 4 | [
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FEM derivation for plates on elastic foundation ?
Hi All,
I'm familiar with the theory of how the soil can represented by means of FEM and how soil-structure interaction is being established. Most of books are pointing out at the Winkler -springs
implemented mostly for beams and quadrilaterals (4 node) FEM elements. T... | 4 | [
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... | 16,975 | 16975 | |
Math Induction
Use mathematical induction to prove: 3 is a factor of n^3 + 2n
Hello Let P(n) be the property "3 is a factor of $n^3+2n$" $1^3+2\:\: 1\;=\;3$ therefore P(1) is true Let's suppose P(n) true and demonstrate that P(n+1) is true $(n+1)^3+2(n+1)\;=\;n^3+3n^
2+3n+1+2n+2$ $(n+1)^3+2(n+1)\;=\;n^3+2n+3n^2+3n+3$ ... | 4 | [
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0.0010833740234375,... | 16,976 | 16976 | |
Basic Math Problem
May 16th 2009, 11:57 AM #1
Newbie
Joined
May 2009
Posts
3
Basic Math Problem
I need help on a question the questions says
by eliminating Y, find the solution to the Simulataneous Eqautions.
X(squared)+Y(squared)=25
Y=X-7
Thanks in Advance,
Aslam
Plug x-7 in ... | 4 | [
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orthogonal vectors
January 19th 2009, 11:50 AM #1
Member
Joined
Nov 2005
Posts
172
orthogonal vectors
I don't understand how to solve this problem, help please.
The Vectors $U = cos\theta I+sin\theta J, V = -sin\theta I+cos\theta J$ for any $\theta$, form an orthonormal basis for the plane; they ar... | 4 | [
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Towards Reviving Electroweak Baryogenesis with a Fourth Generation
Advances in High Energy Physics
Volume 2013 (2013), Article ID 769240, 9 pages
http://dx.doi.org/10.1155/2013/769240
Research Article
Towards Reviving Electroweak Baryogenesis with a Fourth Generation
Department of Physics, National Taiwan University... | 4 | [
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P[(a∩bc)u(ac∩b)]=p(a)+p(b) – 2p(a∩b).
Last edited by compufatwa; October 30th 2007 at 07:40 AM.
Recall that $P(M) = P(MN) + P(MN^c )$. $\begin{array}{rcl}<br /> P(AB^c \cup A^c B) & = & P(AB^c ) + P(A^c B),\quad (AB^c \cap A^c B = \emptyset ) \\ <br /> & = & P(A) - P(AB) + P(B) - P(AB) \\ <br
/> & = & P(A) + P(B) - 2P... | 4 | [
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Using ODE45
March 27th 2009, 04:09 PM
Twig
Using ODE45
Hi
I have a problem that I dont really understand.
An electron with mass m and charge Q moves in an electric and magnetic forcefield with strengths E(x,y,z) and B(x,y,z). If the electrons position is described in cartesian coordinates r(t)=(x
(... | 4 | [
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-0.07421875,
0.033... | 16,981 | 16981 | |
Effects of Turbulent Reynolds Number on the Performance of Algebraic Flame Surface Density Models for Large Eddy Simulation in the Thin Reaction Zones Regime: A Direct Numerical Simulation Analysis
Journal of Combustion
Volume 2012 (2012), Article ID 353257, 13 pages
http://dx.doi.org/10.1155/2012/353257
Research Arti... | 4 | [
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On a Fast Convergence of the Rational-Trigonometric-Polynomial
Advances in Numerical Analysis
Volume 2013 (2013), Article ID 315748, 13 pages
http://dx.doi.org/10.1155/2013/315748
Research Article
On a Fast Convergence of the Rational-Trigonometric-Polynomial Interpolation
Institute of Mathematics, National Academy ... | 5 | [
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Area and volume of a segment (circle)
Can anyone show me know to calculate the area and volume of a segment (circle)? (see attached file).
You can find the volume with or without calc. Which do you wanna do?. Volume indicates 3-D. I suppose you mean a cylindrical tank of radius 13/20 and length 21/10?. Here's the calc... | 5 | [
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0.0047607421875,
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0.023681640625,
-0.07910156... | 16,984 | 16984 | |
Bearing and
Bearing and distance calculation methods
This page shows how the destination point is calculated in the Bearing and Distance Calculator given a starting point, bearing and distance.
A method is given for calculating the destination point for ellipsoid earth models using Vincenty's formula, and a secon... | 4 | [
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0.01306... | 16,985 | 16985 | |
Find all values of x in the interval
April 4th 2010, 07:30 PM #1
Newbie
Joined
Apr 2010
Posts
2
Find all values of x in the interval
i can not figure out this math problem on my homework!! PLEASE HELP!
Find all values of x in the interval [0,2π] that satisfy sin 2x= -sin x
Hello, jpenny32!
... | 4 | [
-0.06396484375,
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0.022216796875,
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0.11962890625,
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0.059814453125,
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0.06884765625,
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0.0101318359375,
-0.0... | 16,986 | 16986 | |
point lie in plane
March 10th 2010, 03:59 PM #1
Senior Member
Joined
Oct 2008
Posts
323
point lie in plane
does the point $(4,5,6)$ lie in the plane $(x,y,z)=(4,1,6)+p(3,-2,1)+q(-6,6,-1)<br />$
i started by writing the parametric equations
$x=4+3p-6q$
$y=1-2p+6q$
$z=6+p-q$
subbing ... | 4 | [
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0.0257568359375,
0.057861328125,
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0.0260009765625,
0.018798828125,
0.0030670166015625,
0.004974365234375,
0.033203125,
-0.138671875,
-0.048... | 16,987 | 16987 | |
Positive Periodic Solution of Second-Order Coupled Systems with Singularities
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 504573, 10 pages
http://dx.doi.org/10.1155/2013/504573
Research Article
Positive Periodic Solution of Second-Order Coupled Systems with Singularities
School of Mathematical Scien... | 5 | [
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-0.0556640625,
-0.044... | 16,988 | 16988 | |
Integral - Partial Fraction
February 19th 2008, 01:40 PM #1
Junior Member
Joined
Sep 2005
Posts
62
Integral - Partial Fraction
Hi I'm trying to solve this Partial Fraction Question: I have found A,B, and C. I just cannot get the correct answer.
$\int \frac{-3x^2+1x-31}{(x-4)(x^2+9)}dx$
$A = -\f... | 5 | [
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-0... | 16,989 | 16989 | |
Electric field of a charged ring.
I kind of follow your work, but I'm afraid I don't see the complete equation needed, so I will go ahead and derive it for you.
Alrighty, here's a little picture to help us out.
Let's keep this in mind throughout the whole problem.
We know by symmetry that the electric field due to t... | 5 | [
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... | 16,990 | 16990 | |
Use the definition of Derivative to find f`(x)
October 2nd 2009, 01:29 PM #1
Newbie
Joined
Oct 2009
Posts
6
1. f(x) = 4
(√5 - x)
Note: 5 - x is all squared.
2. f(x) = 2x
x - 2
3. f(x) = √x + 2
3
Is it all squared or all in the square root? A clearer way of writing that wo... | 4 | [
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Force Components
January 4th 2008, 11:24 PM #1
Force Components
I don't understand the solution to this question:
Find the component of the force $\bold{F}=(3\bold{i}+2\bold{j})N$ in the direction of the vector $2\bold{i}-\bold{j}$.
Solution:
Let $\bold{a}=2\bold{i}-\bold{j}$. Then the unit vector ... | 5 | [
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... | 16,992 | 16992 | |
trig wave equations
January 18th 2010, 06:58 AM #1
Newbie
Joined
Jan 2010
Posts
1
trig wave equations
well im having quite alot of trouble doing questions like these could someone give me some insight into how they should be done thank you!
A function f(x) is known to be of the form F(x)=Acos(px+q) ... | 4 | [
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-0.05053710937... | 16,993 | 16993 | |
Probability question help, please tell how you did it.
March 20th 2010, 04:37 AM #1
Newbie
Joined
Mar 2010
Posts
8
Probability question help, please tell how you did it.
Hey, I was just wondering if any one could help me with this question. I already know the answers and have provided them for you, howev... | 5 | [
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Please help with a short cut solution. There's got to be one I know!!!
September 26th 2006, 10:21 PM #1
cogscineuro
Guest
(187)273 X (456)135 X (299)424 X (588)139 X (394)154 X (181)177 X
(1342)437 = .....x
This is a sum from Indices.
That would be 187 raised to the power 273 and likewise for the othe... | 5 | [
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0.012451171875... | 16,995 | 16995 | |
The center of the group T
April 5th 2011, 07:04 PM #1
The center of the group T
This is probably going to be a tedious job for someone. I apologize in advance.
I have posted a multiplication table for this group. The group is generated by two elements a, and b, both cyclic and of order 4 and 3 respectively. ... | 4 | [
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-0.032... | 16,996 | 16996 | |
Antiderivative via FTC and Intergration by parts
December 7th 2009, 01:13 AM #1
Newbie
Joined
Dec 2009
Posts
8
Antiderivative via FTC and Intergration by parts
Could anyone please help me with this?
Define the function g(x) = anti derivative of t^2 * cos(t) dt
top value = 1/x^2 bottom value = 0
... | 5 | [
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-0.01397705078125... | 16,997 | 16997 | |
ZY<XY<0 is |X-Z| + |x| = |Z|
Author Message
TAGS:
ZY<XY<0 is |X-Z| + |x| = |Z| [#permalink] 25 Apr 2007, 03:18
00:00
... | 4 | [
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Physics Forums - # of combinations
-
General Math
(
http://www.physicsforums.com/forumdisplay.php?f=73
)
rsala004 Nov17-09 06:38 PM
# of combinations
Lets say you have a bunch of projects to do, says project 1,2,3,4,5.
You dont have to do them all, in fact you dont have to do any of them...and the order yo... | 5 | [
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0.01495361328125,
0.0172119140625,
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0.150390625,
-0.06396484375,
-0.04467... | 16,999 | 16999 |