Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
40,050 
Dear members,
see attached pdf file.Can you help me to prove this formulas.
Thank you
Belgium 12
This is...

Mar113 04:02 PM
HallsofIvy

2 
1,150 
For any integral where the integrand is of the form f(θ)^z, with z a complex number, and f(θ) = sin(θ), cos(θ),...

Feb2713 12:59 PM
eyesontheball1

5 
635 
Consider a sphere of radius r where its density at any point is f(d) with d being the distance of the point from the...

Feb2613 02:59 PM
johnaaronrose

3 
141 
When I plot
y = 3x^{\frac{4}{3}}\frac{3}{32}x^{\frac{2}{3}},
I get:...

Feb2813 09:34 AM
Mark44

4 
597 
Hello all,
I am searching for an analytic solution to an integral of the following form:
...

Feb2613 02:43 PM
Mute

4 
580 
here is a geometric proof, similar to the one in my textbook (copied from Aryabhata, from...

Feb2613 12:33 PM
Fredrik

3 
897 
Could someone look over this and see if I have any mistakes? I'm trying to show that
∫ y' dx = ∫ dy through...

Feb2713 02:36 PM
joeblow

6 
644 
My question regards how the approximation becomes an equality.

Mar113 05:31 PM
charliepebs

6 
757 
Hi!
Given a function r:\mathbb{R} \rightarrow \mathbb{R}^2, r(t) = (f_1(t), f_2(t)), is there a way to...

Feb2713 03:15 AM
mariush

2 
415 
How can I describe electric fields and equipotential surfaces using Vector calculus?? HELP...

Feb2813 09:50 AM
HallsofIvy

1 
479 
Dear Members,
I would like to ask if we plot the Roll data of a satellite in degrees vs. the time, and if we take...

Feb2713 07:57 AM
hamzaaaa

3 
442 
I can't find anywhere an example that shows how to solve a generic nonlinear system of equations with the Bisection...

Feb2713 10:56 AM
matteo86bo

0 
418 
Hi,
I'm trying to find
\iint_S \sqrt{1\left(\frac{x}{a}\right)^2 \left(\frac{y}{b}\right)^2} dS
where S...

Feb2713 06:10 PM
nickthequick

3 
530 
So, it seems that in a realvalued setting, the limit and the derivative of a realvalued function is defined only if...

Feb2813 12:49 AM
joeblow

3 
563 
Is there a visual way to represent this theorem? Like Riemanns rules with rectangles and trapezoids? I know the clear...

Feb2713 08:47 PM
JNeutron2186

3 
472 
How would one go about computing the following improper integral, with limits of integration \int exp(x+1/x)/x

Feb2813 06:24 PM
eyesontheball1

4 
621 
I'm trying to show the following:
\lim_{(x,y) \to (0,0)} \frac{x^2 + \sin^2 y}{x^2 + y^2} = 1.
One can show...

Feb2713 11:57 PM
jbunniii

3 
512 
I was bored and decide to make a function (yes, i am a bit weird). So I came up with this:
f(x)=2x+3
g(f)= f+2...

Feb2813 07:20 PM
QuantumPixel

3 
720 
Hello,
So I am trying to understand surface integrals so I can can more insight to understand Gauss's Law.
I am...

Mar113 08:08 PM
Chestermiller

8 
1,131 
So I have been thinking of this problem... what is the greatest rate of angle change for a function? As in, what is...

Feb2813 01:52 AM
pwsnafu

1 
565 
Hi members,
I have a problem with fourier transforms.
There are two attached Pdf files.
My questions are on...

Feb2813 04:21 PM
HallsofIvy

1 
488 
I have given a function g(t)=∇(f(x(t))) , f: IR³>IR and x: IR> IR³ and want to express the first 3 derivatives with...

Feb2813 04:19 PM
Gavroy

2 
401 
Dear members,
After thinking about the question I found the solution so I think??
The only doubt I have is why...

Mar113 06:59 AM
Belgium 12

0 
456 
Evaluate the following integral:
\int_0^{∞} \frac{e^{(x+x^{1})}}{x}dx

Mar213 07:54 AM
eyesontheball1

7 
789 
I am a bit confused over something that should be relatively easy to research , however, I am having a hard time...

Mar413 09:35 AM
runningninja

1 
475 
Hi
I'm currently studying Electromagnetism, and we keep coming across this symbol:
\oint
A closed line integral,...

Mar413 09:46 AM
Vargo

5 
727 
Hi guys! Let \left \{ B_{t} \right \}_{t\in \mathbb{R}} be a one  parameter family of compact subsets of...

Mar513 12:22 PM
Vargo

3 
777 
I know derivative of displacement gives you velocity, and dv/dt=a.
And I know the integral of a is v and the integral...

Mar313 10:44 PM
Simon Bridge

1 
1,454 
We know that the first derivative represents the slope of the tangent line to a curve at any particular point. We know...

Mar613 04:23 PM
Vodkacannon

2 
833 
http://ocw.mit.edu/courses/mathematics/1801scsinglevariablecalculusfall2010/1.differentiation/partadefinition...

Mar913 07:37 AM
HallsofIvy

13 
920 
I have a question. Lets say you have three distinct, non zero vectors that lie in the same plane. Can I verify the...

Mar813 01:39 PM
timthereaper

4 
725 
If I have a signal, sampled at N data points with a timeinterval of T, does this restrict the frequency resolution I...

Mar713 03:47 AM
Wox

5 
800 
I was looking at some integration problems the other day and I came across this identity:
\int_{0}^{\frac{\pi}{2}}...

Mar713 03:49 PM
fzero

4 
698 
Hi guys just want to check my answer for the following improper integral.
∫(2 to ∞) dv/v^2+2v3. After doing partial...

Mar613 08:51 AM
B18

4 
782 
If you integrated the seemingly random "curve" of a stock graph...

Mar913 12:19 PM
Vodkacannon

2 
751 
Hey, folks.
I'm trying to derive the surface area of a sphere using only spherical coordinates—that is, starting...

Mar813 11:30 PM
marcusl

5 
4,843 
I remember seeing a way to do this, can someone link me to some relevant material or post a proof and equation?
...

Mar813 07:20 PM
SteamKing

5 
616 
The idea of varying one thing but keeping others constant is central in scientific analysis. People want to know,...

Mar813 06:34 PM
mearvk

2 
512 
Why does it write all that stuff about fxy2? Isn't it unnecessary?
I mean, isn't the following true?
If in a...

Mar913 07:42 AM
Nikitin

4 
549 
So the beginning of Rudin's Real and Complex Analysis states that the Riemann integral on an interval can be...

Mar913 04:11 PM
Bacle2

2 
545 