content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Project Euler Problem 50
Finally, we made it to the 50th problem! In fact, if this were an old-school Japanese RPG, I’m pretty sure we would be hearing some victory music playing about now…
For this problem, we just need to find the sum of the longest sequence of consecutive primes that sums to a prime less than 1,000... | 4 | [
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0.08154296875,
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0.005218505859375,
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... | 32,300 | 32300 | |
Law of logarithm inquiry
January 20th 2011, 04:30 AM
danzig
Law of logarithm inquiry
I'm curious as to how the answers for these came up.
For problem 1, given that log2 7 is approximately equal to 2.8074, find an approximation for each logarithm. Solve log2 3 square root of 7.
For problem 2, given that... | 4 | [
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0.04418945312... | 32,301 | 32301 | |
Finding the eigenvalues of a 4x4 matrix?
November 5th 2008, 05:50 AM #1
Newbie
Joined
Nov 2008
Posts
3
Finding the eigenvalues of a 4x4 matrix?
Hi!
I need help finding the eigenvalues of a 4x4 matrix. Been working with the same problem for 2 days now. I just can't solve it.
The matrix (A) is:
... | 5 | [
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0.017578125,
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Calculus help! Min Max problem
November 26th 2008, 05:29 PM #1
Newbie
Joined
Nov 2008
Posts
5
Calculus help! Min Max problem
A printed page is to contain 60cm² of typing with clear margins around, of 5 by 3. Find the minimum area of the entire page?
$A=xy$
$60=(x-3)(y-5)$
$\frac {60}{x-3}=y-... | 4 | [
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-0.12011718... | 32,303 | 32303 | |
perform the integration
April 19th 2009, 03:06 PM #1
Newbie
Joined
Apr 2009
Posts
4
perform the integration
Can someone show me the solution to this problem? I have the exam tomorrow
the integral of e^-3x/12+e^-3x
the answer is: -1/3ln|12+e^-3x|+c
Thank you!!!!
So integrate (e^-3x)/(1... | 5 | [
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Analytic Geometry Homework
March 3rd 2008, 12:54 AM
valcross
Analytic Geometry Homework
Well I'm kinda stumped and I need you guys...
1.) The length of a diameter of a circle described by 9x^2 + 9y^2 = 16 is?
2.) Find the equation of the circle with center on x+y = 4 and 5x+2y+1=0 and having a radius o... | 4 | [
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pre-algebra problem
August 20th 2009, 05:12 PM #1
Newbie
Joined
Aug 2009
Posts
3
pre-algebra problem
Tina, Dawn & Harry have $175 together. Tina has 3x as much as Dawn. Dawn has 2x as much money as Harry. How much money does each have?
Let $T,\,D,\,H$ represent the amount of money Tina, Dawn, and Ha... | 4 | [
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Math Help
September 10th 2006, 05:54 PM #16
Not sure what you point is? But I can tell you that over a thirty year stint of teaching real analysis, undergraduate and graduate, we never used anything but the epsilon-delta proofs. Limits,
continuity, derivatives, and integrals are all defined using epsilon-del... | 4 | [
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Riemann Integral Proof
February 15th 2008, 07:24 AM #1
Newbie
Joined
Oct 2007
Posts
5
Riemann Integral Proof
I am having a bit of trouble with this proof and any insight would be appreciated.
Suppose f is a nonnegative Riemann integrable function on [a,b] satisfying f(r) = 0 for all r in $\textbf{Q}... | 4 | [
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Optimization
June 11th 2009, 09:29 AM #1
Member
Joined
May 2009
Posts
93
Optimization
A closed box with a square base has a volume of 250 cubic meters. The material for the top and bottom of the box cost $2 per square meter, and the material for the sides cost $1 per square meter.
Can the box be cons... | 5 | [
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Triple integral
September 23rd 2010, 01:40 PM #1
Member
Joined
Oct 2009
Posts
195
Thanks
1
Triple integral
f(x,y,z) = z
Integrate the region W, which is bounded by
z = 0
x^2 + 4y^2 = 4
z = x + 2
So I think the "bottom" of the region in the xy-plane should form an elipse, and th... | 5 | [
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experiment/ word problem help
October 6th 2010, 04:05 PM #1
Super Member
Joined
Sep 2008
Posts
607
experiment/ word problem help
2.6 A seed crystal of diameter D (mm) is placed in a solution of dissolved salt, and
new crystals are observed to nucleate (form) at a constant rate $r (crystals \\\\ min^{... | 4 | [
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Multivariate Normal Distribution
October 6th 2009, 03:58 PM
statmajor
Multivariate Normal Distribution
http://img16.imageshack.us/img16/7703/ass1lx.jpg
I know that $f(x_1, x_2, x_3) = \frac{1}{(2 \pi)^{3/2}|\Sigma|^{1/2}}exp(-\frac{1}{2}x \Sigma^{-1} x)$ since n = 3 and mu = 0.
I've never used the multi... | 5 | [
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... | 32,312 | 32312 | |
Acceleration varying with speed problem
April 12th 2013, 01:26 PM #1
Newbie
Joined
Apr 2013
From
Loughborough
Posts
2
Acceleration varying with speed problem
Hi,
I'm attempting to solve a problem where the torque of a motor varies with RPM linearly. I've done most of the groundwork, and come up ... | 5 | [
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one sided limit help me..
January 18th 2009, 05:54 PM #1
Newbie
Joined
Jan 2009
Posts
2
one sided limit help me..
find one sided limit
1.)lim x->3+ X^2-4X+6 / square root x- 3
2.)lim t->0+ square root 4+t -2 / square root t
can someone teach me how to solve this kind of question thx
H... | 5 | [
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Poisson Distribution question
August 31st 2011, 12:21 AM #1
Super Member
Joined
Dec 2008
Posts
509
Poisson Distribution question
Hi
Can someone tell me if my answers are correct?
A machine makes a special type of lining brick at the rate of 25 per hour. Overall about 5% of the bricks are
defe... | 5 | [
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Proving inequality through induction
May 21st 2012, 05:21 AM
alyosha2
Proving inequality through induction
$2^k > 4k$
$2^k > 4k = 2^k - 4k < 0$
$2^{k+1}-4(k+1) = 2 x 2^k -4(k+1)$
$> 2 x 4k - 4(k+1)$, using $2^k > 4^k,$
$=8k -4k - 4 = 4k -4$
I don't understand what has happened in the secon... | 4 | [
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Help with factoring cubic polynomials and find the zeros of the function
May 2nd 2007, 05:37 AM #1
Junior Member
Joined
Feb 2007
Posts
53
Help with factoring cubic polynomials and find the zeros of the function
Yikes! I spent hours on this problem w/o any result.
f(x) = x^3 - x^2 - 2x + 2 = 0
M... | 4 | [
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Integrals Rp_4-5
$\int_1^2 \frac{1}{(x^2-2x+5)^{3/2}}dx=$ $\int 5^{\sqrt{7x+2}}dx=$ In the secound problem i tried maybe $e^{(\sqrt{7x+2}*ln{5})}$ but I don't know how to continue...
$\int {\frac{{dx}}<br /> {{{{\left( {{x^2} - 2x + 5} \right)}^{3/2}}}}} = \int {\frac{{dx}}<br /> {{{{\left( {{{\left( {x - 1} \right)}^... | 5 | [
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Normal Distribution Question
October 19th 2008, 11:30 PM #1
Newbie
Joined
Oct 2008
Posts
11
Normal Distribution Question
Hi, i have this question
The weight of a box of cereal has a normal distribution with mean = 340g and standard deviation = 5g.
(c) 30 boxes of this cereal are selected at ra... | 5 | [
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Homework Help
Posted by kyu on Monday, May 31, 2010 at 5:44pm.
Find the Cartesian form of the parametric equation.
x = (2a)(cot T)
y = (2a)(sin^2 T)
how? lol
here's what i got
y = (sin^2 T)
y = (2a)y^2
y = 2a
then?
do the same for X?
i'm stuck there
• Math Trig - MathMate, Monday, May 31, 2010 at 7:29pm
... | 4 | [
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Need help calculating convergence, series.
September 27th 2010, 06:21 AM #1
Member
Joined
Sep 2010
Posts
95
Need help calculating convergence, series.
I have an exercise where I'm supposed to find convergence if any and if there are show how it's... constituted. The series:
$\[<br /> \displaystyle \... | 5 | [
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-0.004119873046875... | 32,321 | 32321 | |
linear congruences
August 14th 2008, 12:49 AM #1
Newbie
Joined
Aug 2008
Posts
22
linear congruences
Q1.find an inverse of 19modulo 43.
so far I have worked through euclids algorithm to find gcd(19,43)=1. however when I try to work the algorithm in reverse to solve 19x +43y=1 I get confused.
Q2.... | 5 | [
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Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift
International Journal of Differential Equations
Volume 2012 (2012), Article ID 572723, 12 pages
http://dx.doi.org/10.1155/2012/572723
Research Article
Numerical Integration of a Class of Singularly Perturbed Delay D... | 5 | [
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A problem on finding orthogonal basis and projection
Use the inner product <f,g> = integral f(x) g(x) dx from 0 to 1 for continuous functions on the inerval [0, 1]
a) Find an orthogonal basis for span = {x, x^2, x^3}
b) Project the function y = 3(x+x^2) onto this basis.
-----------------------------------------------... | 4 | [
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Differential equation- unfamiliar forms
a. 4+xdy/dx=y^2 b. e^ydy/dx-1=inx c.ycosxdy/dx=2-ydy/dx It would be fine if you just do one- but if anyone is feeling bored-
Hello, kingkaisai2! These are all separable . . . $a)\;\; 4 + x\frac{dy}{dx}\:=\:y^2$ We have: . $x\frac{dy}{dx}\:=\:y^2 - 4\quad\Rightarrow\quad \frac{dy... | 5 | [
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... | 32,325 | 32325 | |
Motorboat Speed
January 11th 2007, 01:03 PM #1
Banned
Joined
Jan 2007
Posts
315
Motorboat Speed
A motorboat heads upstream on a river that has a current of 3 mph. The trip upstream takes 5 hours, while the return trip takes 2.5 hours. What is the speed of the motorboat?
Assume that the motorboat kee... | 4 | [
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-0.0228271484375,... | 32,326 | 32326 | |
Monthly payment amount
March 16th 2007, 10:31 PM #1
Newbie
Joined
Mar 2007
Posts
4
Monthly payment amount
Amount of purchases=15,000. Down payment= 2,000. Rate of interest=8%. Term of loan=5 yrs. Monthly payment amount (P and I)=? Find the Monthly payment amount. the answer i got is 322.80.
I did th... | 4 | [
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CurveSketching.html
Example:
We methodically determine each of the properties in the list.
> f:=x->x^2/(x^2-9);
The domain of f consists of all real numbers x such that the denominator is not equal to zero.
> solve(x^2-9,x);
Hence the domain is all real numbers excluding 3 and -3.
The y-intercept is the point (0,... | 4 | [
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-0.1... | 32,328 | 32328 | |
e^A where A is a Matrix
A program to compute e^A
Message #16 Posted by Valentin Albillo on 3 Dec 2004, 7:52 a.m.,
in response to message #1 by Harry
Hi, Harry:
To further show just how easy is it to compute e^A for arbitrary numeric square matrices, here's a subprogram for the HP-71B I've just written right now to pr... | 5 | [
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0.07568359375,
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0.... | 32,329 | 32329 | |
The sequence s1, s2, s3,.....sn,...is such that Sn= (1/n) -
Author Message
TAGS:
The sequence s1, s2, s3,.....sn,...is such that [#permalink] 17 Aug 201... | 4 | [
-0.12109375,
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Homework Help
Posted by Bakare Olanrewaju on Wednesday, May 14, 2014 at 2:32am.
Gina has 24 feet of fence, she wants to make the largest rectangular area possible for her rabbit to play in , what length should she make each side of the rabbit penn?
• Math - Bosnian, Wednesday, May 14, 2014 at 3:00am
That is ca... | 5 | [
0.09228515625,
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Linear Transformations
February 5th 2010, 12:11 AM #1
Junior Member
Joined
Feb 2010
Posts
31
Linear Transformations
Let u = (1,2), v = (3,1) and T: $R^{2}\rightarrow R$ be a linear transformation such that T(u)= 4 and T(v)= 5. What is T(-3, 4)? (Hint: Write (-3,4) as a linear combination of u and v.)
... | 5 | [
0.00579833984375,
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example of a noncommutative ring R for which R is not isomorphic to R^op
June 22nd 2010, 05:29 PM #1
Member
Joined
Sep 2008
Posts
166
example of a noncommutative ring R for which R is not isomorphic to R^op
Give an example of a noncommutative ring $R$ such that $R$ and the opposite ring $R^{op}$ are not ... | 5 | [
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0.052246093... | 32,333 | 32333 | |
Vector Spaces
July 5th 2011, 09:11 AM #1
Newbie
Joined
Jul 2011
Posts
12
Let W be the subspace of P3(all third degree polynomials) such that p(0)=0, and let U be the subspace of all polynomials such that p(1)=0. Find a basis for W, a basis for U, and a basis for their
intersection W and U.
Re: Vector... | 5 | [
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0.... | 32,334 | 32334 | |
using integral test to determine convergence or divergence
July 9th 2007, 03:31 PM #1
Junior Member
Joined
Mar 2007
From
Missouri
Posts
54
using integral test to determine convergence or divergence
Teacher says this converges but I keep getting divergence. What am I missing or messing up on?
$\su... | 5 | [
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Vector Algebra (line perpendicular to plane)
December 7th 2009, 11:10 PM #1
Member
Joined
Nov 2009
Posts
151
Vector Algebra (line perpendicular to plane)
1. The problem statement, all variables and given/known data
Find the parametric equations for the line which passes through the point (3,5,7)
... | 4 | [
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0.00... | 32,336 | 32336 | |
Stuck on a characteristic PDE
October 12th 2012, 01:40 PM #1
Member
Joined
Jun 2012
From
Georgia
Posts
175
Thanks
22
Stuck on a characteristic PDE
I can't figure this out. The equation is $u_{xx}+4u_{yy}=0$. Solving for y', I get y1 = 2ix + c1 and y2 = -2ix + c2.
Then v = y1 - 2ix and w = y2... | 4 | [
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-0.05... | 32,337 | 32337 | |
Counting Methods
January 14th 2009, 10:51 PM #1
Member
Joined
Jan 2008
Posts
130
Counting Methods
Please help!
1.) Three-letter 'words' are to be made by arranging the letters of the word METHODS. What is the probability that the word begins with a vowel?
I tried to do this question by finding... | 4 | [
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Sketch and Find the area of the region determined by the intersections of the curves.
January 14th 2013, 12:02 PM
JDS
Sketch and Find the area of the region determined by the intersections of the curves.
Sketch and Find the area of the region determined by the intersections of the curves.
y= (2/(x^2+1)), y=... | 5 | [
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Max square/rec area under the curve
July 22nd 2009, 04:40 PM #1
Max square/rec area under the curve
Hi everyone, I've been working on this optimization problem for awhile now. I guess I don't understand the steps. Here's my work.
The Problem
Code:
A rectangle is inscribed with its base on the x-axi... | 5 | [
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0.07666015625,
-0.0732... | 32,340 | 32340 | |
Can I get help on a rate of change problem?
August 3rd 2009, 12:58 PM
Darkhrse99
Can I get help on a rate of change problem?
The rate of change in a person's body temp, with respect to the dosage of X milligrams of a drug, is given by D Prime of x= $\frac{7}{x+5}$ One milligram raises the body temp 2.3* C. Find ... | 5 | [
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-0.... | 32,341 | 32341 | |
Initial value problem
February 4th 2010, 02:04 PM
KennyP33
Initial value problem
I'm so close to the answer, I've narrowed it down to two possibilites, here is the question:
Find the initial value problem:
$cos(x)dy/dx-ysin(x)=xcos(x)$
Here are my two answers, only varying by the negative sign in ... | 5 | [
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-0.... | 32,342 | 32342 | |
determining Sin x as Cos x = sqrt 3/2
September 6th 2008, 04:35 AM #1
Newbie
Joined
Sep 2008
Posts
1
determining Sin x as Cos x = sqrt 3/2
Hello I need help in determining Sin x as Cos x = sqrt 3/2.
What should I know to be able to do this. and how?
I would like a fully detailed explanation if p... | 4 | [
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Ramanujan's factorial approximation
Ramanujan came up with an approximation for factorial that resembles Stirling’s famous approximation but is much more accurate.
As with Stirling’s approximation, the relative error in Ramanujan’s approximation decreases as n gets larger. Typically these approximations are not usefu... | 4 | [
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... | 32,344 | 32344 | |
show its integral less than half M
April 8th 2008, 09:07 AM
szpengchao
show its integral less than half M
suppose
f: R--->R has a continuous derivative, f(0)=0, and |f'(x)|<=M for x in [0,1]
show that, |integral(f,0,1)|<= half M
show that, if given f(1)=0, then |integral(f,0,1)|<= quarter M
wh... | 5 | [
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0.0... | 32,345 | 32345 | |
Acta Scientiarum. Agronomy
Serviços Personalizados
Artigo
Indicadores
Links relacionados
Compartilhar
versão On-line ISSN 1807-8621
Acta Sci., Agron. (Online) vol.33 no.2 Maringá abr./jun. 2011
http://dx.doi.org/10.4025/actasciagron.v33i2.8272
... | 4 | [
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... | 32,346 | 32346 | |
Chemical Calculations - 1
Mole concept calculations A Quick Review
prepared by Alex Teoh / 8 Nov 2004 - 0630 hours
1. Calculate the percentage % of:
(a) oxygen (b) water in CuSO[4]. 5H[2]O
┌────────────────────────────────────────────────────────────────────┐
│(a) RMM of CuSO[4]. 5H[2]O is: 64 + 32 + 4 X 16 + 5 ( ... | 4 | [
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-0.00427246093... | 32,347 | 32347 | |
ind
MIND IF I DO A J
Scoring bowling in J
Fuck it Dude, let’s go bowling.
Inspired by both The Dude and Ron Jeffries who was working on this problem as an exercise in learning J.
Of Note
I’m pretty new to J, so please do contact me if you notice a mistake. Thanks to Tracy Harms for spotting a few mistakes.
There ... | 4 | [
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-0.... | 32,348 | 32348 | |
solve for t
September 8th 2008, 01:05 PM #1
Junior Member
Joined
Sep 2008
Posts
54
solve for t
50000=100*2^(t/3)
Solve for t.
I'm not sure how to solve for t when it's an exponent and a fraction.
Please help because I need the answer to this very soon.
$\Rightarrow 500 = 2^{t/3} \Right... | 4 | [
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Differential equation in implicit form
January 25th 2009, 09:56 AM #1
Junior Member
Joined
Jan 2009
Posts
69
Differential equation in implicit form
I was wondering if someone could give me some idea as where to start with the following question?
Find in implicit form the general solution of the diff... | 5 | [
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0.0098266601562... | 32,350 | 32350 | |
Nonlinear Second-Order Model and Equilibrium Point Characteristic Analysis of DC Traction Power Supply System
ISRN Applied Mathematics
Volume 2013 (2013), Article ID 981692, 8 pages
http://dx.doi.org/10.1155/2013/981692
Research Article
Nonlinear Second-Order Model and Equilibrium Point Characteristic Analysis of DC ... | 4 | [
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-0.0277099609375... | 32,351 | 32351 | |
Probability question I'm having difficulty with
July 11th 2013, 08:34 PM #1
Newbie
Joined
Jul 2013
From
Calgary
Posts
3
Probability question I'm having difficulty with
To gauge the relationship between education and unemployment an economist turned to the US Census, from which the following table was... | 4 | [
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help with partial fraction integral
April 28th 2009, 10:46 AM #1
Member
Joined
Feb 2009
Posts
125
help with partial fraction integral
I need some help finding C & D in the following integral
$\int\frac{2x^3-4x-8}{(x^2-x)(x^2+4)}$
$2x^3-4x-8=A(x-1)(x^2+4)+B(x)(x^2+4)+[C(2x)+D](x)(x-1)$
I use... | 4 | [
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0.08349609375... | 32,353 | 32353 | |
Math Help
December 14th 2009, 06:00 AM #1
Newbie
Joined
Dec 2009
Posts
2
Two adjacent figures are represented by the isosceles trapezoid and the square.
What is the difference in the area of these two figures ?
EXAM TOMORROW ! and I dont understand
Last edited by cookiii; December 14th 2009 ... | 4 | [
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-0.056640625,
0.11083984375,
0.004913330078125,
0.02734375,
-0.032470703125,
0.02587890625,
-0.019775390625,
-0.021484375,
0.0213623046875,
-0.0281982421875,
-0.0498046875,
-0.0159912109375... | 32,354 | 32354 | |
Show a sequence is decreasing
September 23rd 2008, 06:06 PM #1
Junior Member
Joined
Feb 2008
Posts
48
Show a sequence is decreasing
$x_{n+1}=2-\frac{1}{x_n}$
I'm trying to do this by induction, I can actually show this for the case k=n. I cannot however do it for the case =1.
Also $x_1>1$
... | 5 | [
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0.03515625,
0.06591796875,
0.0147094726562... | 32,355 | 32355 | |
Integrating Factor
January 14th 2011, 04:36 PM #1
Member
Joined
Jun 2010
Posts
205
Thanks
1
Integrating Factor
I'm doing Tenenbaum's ODE page 91, problem 16, can't see what's going on. We have $3(x+y)^{2}dx + x(3y + 2x)dy = 0 \Rightarrow \frac{d}{dy}P(x,y) = 6(x+y) \text{and} \frac{d}{dx}Q(x,y) = 3y ... | 4 | [
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0.00762939453125,
-0.0617675781... | 32,356 | 32356 | |
[SOLVED] Bounds of Integration
April 23rd 2010, 04:51 PM
Spudwad
[SOLVED] Bounds of Integration
I have two problems that are pretty similar:
1. Use a triple integral to find the volume of the solid bound by the parabolic cylinder $y=9x^2$ and the planes $z = 0, z = 9$, and $y = 5$.
I have been having i... | 4 | [
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0.09619140625,
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0.030029296875,
-0.04931640625... | 32,357 | 32357 | |
Equation of
Equation of a Circle, given three points
Problem: Give the general solution to this question:
Find a circle given 3 points (a,b), (c,d), and (e,f)
Your answer should be in the form of an equation of the circle centered at point (h,k) with radius r, and should look like this:
(x-h)² + (y-k)²... | 5 | [
-0.0147705078125,
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0.03... | 32,358 | 32358 | |
solving a system of transcendental equations
April 16th 2009, 04:32 AM #1
Newbie
Joined
Apr 2009
Posts
1
solving a system of transcendental equations
hi,
I want to solve the system of three transcendental equations for A, B & C.
0.97*cos(B)*cos(C)-0.18*cos(B)*sin(C)+ 0.01*sin(B)=0.6304
0.97... | 5 | [
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0.03564453125,
0.037841796875,
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0.0089111328125,
-0.099609375,
0.01843... | 32,359 | 32359 | |
Increasing function question I just thought of... • /r/math
all 11 comments
[–]benjorino6 points7 points8 points
sorry, this has been archived and can no longer be voted on
[–]Majromax5 points6 points7 points
sorry, this has been archived and can no longer be voted on
There is a bijection between the two, but we'r... | 4 | [
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0.036865234375,
-0.075683... | 32,360 | 32360 | |
Factoring by Grouping
November 17th 2006, 05:36 PM
mmsan
Factoring by Grouping
note: x^2 means x ( or whatever variable) to the power of 2
p^2-q^2+r^2-2pr
factor by grouping ( or any other method)
i've tried to factor it into this format: (x-y+z)(x-y-z), but i can't seem to do it. the answer key say... | 4 | [
0.0230712890625,
0.048828125,
-0.00225830078125,
0.08447265625,
0.053466796875,
0.0966796875,
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0.048095703125,
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0.0625,
0.009033203125,
-0.0439453125,
0.0064392... | 32,361 | 32361 | |
Find all values of X that satisfy multiple congruences
October 22nd 2010, 05:30 AM #1
Newbie
Joined
Oct 2010
Posts
9
Find all values of X that satisfy multiple congruences
The question I'm given is this:
Find all integral values of x such that 2x ≡ 4 (mod 5) and 3x ≡ 2 (mod 7).
I can find all v... | 5 | [
-0.01092529296875,
-0.032958984375,
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0.034423828125,
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-0.0537109375,
0.03... | 32,362 | 32362 | |
Fourier Transform Help Needed
April 27th 2007, 11:07 PM #1
Newbie
Joined
Apr 2007
Posts
3
Fourier Transform Help Needed
DEAR GROUP MEMBERS,
I am trying to find the Fourier transform of f(x) defined as,
1, for |x| < a
f(x) =
0, for |x| > a.
SOLUTION :
In the final steps it resol... | 5 | [
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... | 32,363 | 32363 | |
Homework Help
Posted by p on Saturday, January 2, 2010 at 3:51pm.
The triangle DEF has vertices D(-1,3)
E(7,1) and F(4,6). Classify the triangle as:
a) isosceles or scalene
b) right angled or not
• geometry - MathMate, Saturday, January 2, 2010 at 4:28pm
An isosceles triangle has at least two equal sides.
... | 4 | [
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-0.0712890625,
-0.... | 32,364 | 32364 | |
Complex Equation of a Plane Problem
June 9th 2008, 07:58 PM
Morphayne
Complex Equation of a Plane Problem
Problem:
Find the equation of the plane that passes through the line of intersection of the planes $x-y+2z+5=0$ and $2x+3y-z-1=0$, and is perpendicular to the plane $x+2y-2z=0$.
Answer:
$4x+y+... | 5 | [
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0.02734375,
-0.10546875,
-0.08007... | 32,365 | 32365 | |
replacing multipication of constant by simpler instructions (LONG)
Youfeng Wu <wu@sequent.com>
Fri, 23 Oct 1992 20:10:15 GMT
From comp.compilers
| ... | 4 | [
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0.1... | 32,366 | 32366 | |
Homework Help
Posted by Kat on Sunday, January 25, 2009 at 8:55pm.
Hi, I'm looking at my book and I can't see how they've gotten this answer:
The last bit:
-11/20y=-3
Their answer is y=60/11
How did they get that?
The full problem, if it helps:
1/4y+2=4/5y-1
1/4y-4/5y=-1-2
-11/20y=-3
y=60/11
Okay, since typi... | 4 | [
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0.06640625,
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0.1015625,
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0.04638671875,
-0.08349609375,
0.03442... | 32,367 | 32367 | |
resolving for x
I tried to solve thees but 1) sqrt(2x + 1) = x-1 2) -2< x+2/x-1
Last edited by cristinaivelisse; February 17th 2010 at 04:35 PM.
$\sqrt{2x+1} = x-1$ square both sides ... $2x+1 = x^2 - 2x + 1$ $0 = x^2 - 4x$ $0 = x(x-4)$ $x = 0 , x = 4$ check for extraneous solution(s) $-2 < \frac{x+2}{x-1}$ $0 < 2 + ... | 4 | [
-0.035888671875,
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0.06103515625,
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-0.0250244140625,
0.01440429687... | 32,368 | 32368 | |
All the lepton masses from G, pi, e
Mathematics used for the Fine Structure constant formula.
Yes it should be called Mathematics rather than "Numerology"
This is especially true for the way how the formula for the
fine structure constant was generated.
It's possible to derive a function's complete Taylor expansio... | 4 | [
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-0.06640625,
0.0081787109375,
0.0546... | 32,369 | 32369 | |
quadratic inequality
August 18th 2005, 10:04 AM #1
Newbie
Joined
Apr 2005
Posts
23
quadratic inequality
x^2-2x-8>0
I know that the answer is x>4 or x<-2. My question is why the sign is reversed if there is no multiplication or division on either side?
Consider x^2-2x-8 = (x-4)(x+2). This is > 0... | 4 | [
0.01422119140625,
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0.048095703125,
0.0250244140625,
0.0252685546875,
0.0595703125,
-0.08... | 32,370 | 32370 | |
Wolfram Demonstrations Project
Squeeze Theorem
Let , , and be functions satisfying for all near , except possibly at . By the squeeze theorem, if then . Hence, equals zero if , or , since is squeezed between and . The theorem does not apply if ,
since is trapped but not squeezed. For the limit does not exist, because ... | 4 | [
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-0.016357421875,
0.028076171875,... | 32,371 | 32371 | |
How many triangles?
July 27th 2010, 02:01 AM #1
Member
Joined
Dec 2008
Posts
152
How many triangles?
How many triangles in the picture?
I counted over 140 then got lost..
Is there a way to calculate the number of triangles in the picture?
140 seems like too many to me, what about
$\bin... | 5 | [
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0.061767578125,
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0.0164794921875,
-0.050537109375,
-0.... | 32,372 | 32372 | |
Homework Help
Posted by Jordyn on Monday, October 11, 2010 at 7:17pm.
Please help!!!!
Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state
this.
6x - 2y = 2,
9x - 3y = 1
... | 4 | [
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-0.11... | 32,373 | 32373 | |
Work Problem
October 13th 2008, 09:25 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Dave can mow his lawn in 20 minutes less time than with a power mower that with his hand mower. One day, the power mower broke 15 minutes after he started mowing and he took 25 minutes more time
to com... | 4 | [
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0.08203125,
-0.00830078125,
-0.08007... | 32,374 | 32374 | |
The Asymmetric Top
We will ``approximate'' the asymmetric top by a finite set of point masses which are attached to each other by massless, rigid rods which ensure that the motion of the whole ensemble is described by
a path in t... | 4 | [
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0.009521484375,
0.028564453125,
0... | 32,375 | 32375 | |
Latin American applied research
Servicios Personalizados
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Bookmark
versión impresa ISSN 0327-0793
Lat. Am. appl. res. v.34 n.3 Bahía Blanca jul./sept. 2004
Decoupling with stability of linear multivariable systems: An algebraic approach
J. Ruiz-León
CINVESTAV-IPN, Unid... | 4 | [
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-0.033935546875,
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0.03466796875,
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0.06396484375,
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-0.020263671875,
-0.059814453125,
0.09619140625,
0.0169677734375,
0... | 32,376 | 32376 | |
Right trapeziod area problem
October 13th 2009, 09:17 AM
jlefholtz
Right trapeziod area problem
A right trapezoid has parallel sides AB and CD (AB > CD), a perpendicular side AD. The diagnoal AC equals to the side AB and the side AD equals to the side DC. A line through C, perpendicular to
side BC intersects... | 4 | [
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-0.0634765625,
-0.0179443359375,
-0.0... | 32,377 | 32377 | |
Math Help
April 9th 2008, 04:51 PM #1
Newbie
Joined
Mar 2008
Posts
13
Functions
Answer the following questions for the function defined on the interval
Remember that you can enter "pi" for
A.
B. A global minimum for this function occurs at
C. A local maximum for this function which is ... | 5 | [
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0.064453125,
0.0419921875,
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0.00640869140625,
0.080078125,
... | 32,378 | 32378 | |
proof on limits
May 3rd 2010, 08:35 AM #1
Junior Member
Joined
Dec 2009
Posts
30
Problem
Let f:R-->R be a differentiable function. Prove that if lim x-->infinity f(x) and lim x-->infinity f'(x) both exist and are finite, then lim x--> infinity f'(x) = 0.
Please help and assist in which def or t... | 5 | [
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0.0206298828125,
-0.0... | 32,379 | 32379 | |
Fault Diagnosis in Dynamic Systems Using Fuzzy Interacting Observers
Advances in Fuzzy Systems
Volume 2013 (2013), Article ID 874393, 9 pages
http://dx.doi.org/10.1155/2013/874393
Research Article
Fault Diagnosis in Dynamic Systems Using Fuzzy Interacting Observers
Concern Central Scientific and Research Institute E... | 4 | [
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0.09130859375,
-0.13... | 32,380 | 32380 | |
Solving Quartic
April 2nd 2006, 11:18 AM
c_323_h
Solving Quartic
Find all roots of x^4 + i =0. Write answers in trigonometric form.
Don't know how to solve quartics.
Any help would be appreciated.
April 2nd 2006, 01:05 PM
ThePerfectHacker
Quote:
Originally Posted by c_323_h
Find all roo... | 5 | [
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0.083984375,
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0.0341796875,
0.07958984375,
-0.02099609375,
0.038818359375,
0.01556396484375,
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martingale proof
May 5th 2010, 05:38 AM #1
Newbie
Joined
Oct 2009
Posts
9
martingale proof
I need to do the proof for the second condition but I'm not getting the right answer.
$\{S_n , n\geq 1\}$} is a martingale if
1) E[| $S_n$|]< $\infty \forall n$
2) E[ $S_{n+1}|S_1,...,S_n$] = $S_n \fo... | 5 | [
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M03-34
Author Message
3
This post received
KUDOS
00:00
B
... | 4 | [
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Stability Calculation Method of Slope Reinforced by Prestressed Anchor in Process of Excavation
The Scientific World Journal
Volume 2014 (2014), Article ID 194793, 7 pages
http://dx.doi.org/10.1155/2014/194793
Research Article
Stability Calculation Method of Slope Reinforced by Prestressed Anchor in Process of Excava... | 4 | [
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Path integral formulation
From SklogWiki
The path integral formulation, here from the statistical mechanical point of view, is an elegant method by which quantum mechanical contributions can be incorporated within a classical simulation
using Feynman path integrals (see the additional reading section). Such simulatio... | 4 | [
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6. Second-Order Dynamical Systems
Astronomy 626: Spring 1997
The Newtonian equations of motion are second-order in time; thus both positions and velocities are needed to specify the dynamical state of a classical system. The simplest systems are those with one
degree of freedom.
6.1 Equations of Motion
Consider a s... | 4 | [
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0... | 32,386 | 32386 | |
finding horizontal tangents using d/dx of trigs
October 24th 2012, 08:12 AM #1
Member
finding horizontal tangents using d/dx of trigs
Last edited by kingsolomonsgrave; October 24th 2012 at 08:52 AM.
Re: finding horizontal tangents using d/dx of trigs
Yes, that's what happens.
$\sin 2x = \frac{\sqrt{3}}... | 4 | [
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A New Modified Hybrid Steepest-Descent by Using a Viscosity Approximation Method with a Weakly Contractive Mapping for a System of Equilibrium Problems and Fixed Point Problems with Minimization Problems
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 206345, 29 pages
http://dx.doi.org/10.1155/2012/206345
... | 5 | [
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Probably Overthinking It
Way back in February I analyzed data from the National Survey of Family Growth (NSFG) and answered the question "
Are first babies more likely to be late?
" Now I am getting back to that data to look at the related question, "Are first babies more likely to be
light
?"
In
Think Stats
(Ch... | 5 | [
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rate of change
December 11th 2008, 07:19 PM #1
Newbie
Joined
Dec 2008
Posts
22
Q1- The distance traveled by an object at time t ≥ 0 is s = f(t) = t^2 where s is in meter (m) and t in seconds (sec). Find the instantaneous velocity of the object at t = 2sec
Q2- Find the natural domain of the given fun... | 4 | [
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Is my inverse right?
January 8th 2014, 02:45 AM #3
Junior Member
January 7th 2014, 11:46 AM #2
MHF Contributor
January 7th 2014, 10:46 AM #1
Junior Member
Re: Is my inverse right?
The domain/range (x axis) is restricted to being less than or equal to 1 or less than or equal so as to eliminate the possibility... | 4 | [
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Compound Angle
November 9th 2009, 07:30 PM #1
Newbie
Joined
Nov 2009
Posts
3
Compound Angle
Angle a lies in the second quadrant and angle b lies in the third quadrant such ath cos a = -3/5 and tan b = 24/7
determine an exact value for
cos(a+b)
and
sin (a-b)
I got cos(a+b) = cosacosb... | 4 | [
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Suffix Notation
April 25th 2009, 08:12 AM #1
Member
Joined
May 2008
Posts
106
Suffix Notation
Hi I;m just learning suffix notation and the summation convention.
Just to check my understanding can someone just check to see if I've done this right,
Define a new sort of multiplication by
$(\... | 4 | [
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logs. is my work correct?
May 22nd 2007, 05:19 PM #1
Junior Member
Joined
May 2007
Posts
31
logs. is my work correct?
are these right?
3^2x=75 ---> i got log75/2log3
solve for x
log(2)x = 5 ---> i got x = 32
solve for x
e^3x-2=5 ----> i got x ~ 0.6486
solve for x
2^2x=8^x-... | 4 | [
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trigonometry question
October 3rd 2009, 06:17 AM #1
Senior Member
Joined
Jan 2009
Posts
381
trigonometry question
solve for x , -180<x<180
2cos x+1= sin x
This is what i did ..
sin x -2 cos x=1
$\sqrt{5}\sin (x-63.43)=1$
so x-63.43=26.57
x=90
and x-63.43=-26.57 , -153.4... | 4 | [
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Compound Angles
December 14th 2013, 09:59 AM #1
Newbie
Joined
Oct 2013
From
UK
Posts
5
hi people i have a question on compound angles which im finding quite annoying could someone show me how to solve the following questions:
express the following
1. 6sinwt - 8coswt in the form of: R sin(Θ -... | 4 | [
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the encyclopedic entry of boltzmann's constant
In
statistical thermodynamics
,
Boltzmann's equation
is a probability equation relating the
entropy S
of an ideal gas to the quantity
W
, which is the number of
microstates
corresponding to a given
macrostate
:
$S = k log W !$ (1)
where k is Boltzmann's c... | 4 | [
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Math Help
Challenge Problem: $\int^{\infty}_{0} \frac{\sin^{3} x}{x^{2}} \ dx$ Moderator Approved - CB
Last edited by CaptainBlack; May 4th 2010 at 12:52 PM.
starting with by parts we have: $\int_0^{\infty} \frac{\sin^3x}{x^2} \ dx = 3 \int_0^{\infty} \frac{\sin^2 x \cos x}{x} \ dx = 3 \int_0^{\infty} \int_0^{\infty... | 5 | [
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2nd ODE -- Finding Particular solution with A constant term !!
November 12th 2009, 12:07 PM
ZaZu
2nd ODE -- Finding Particular solution with A constant term !!
Hello all,
I am struggling to solve this question ..
I know how to solve non-homogenous 2nd ODE if we have cos, sin and exponents .. but for in ... | 5 | [
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