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

Feb2313 09:24 AM
micromass

1 
46,290 
I have a small confusion about functions and variables. So, on doing a bit of reading, a linear transformation is a...

T 10:49 AM
Fredrik

3 
107 
when differentiating
e^(at) * (cos(bt) + isin(bt))
are you able to use product rule to find the derivative...

T 07:03 AM
HallsofIvy

2 
116 
How do I perform this integration:
\int \left (\frac{dy}{dx}\right)^{2} dx
Thanks!

Y 04:58 PM
Cruikshank

12 
1,005 
For this function
y=\sqrt{2ln(x)+1}
if I use the chain rule properly, should I be getting this answer?
...

Y 12:52 PM
Apogee

6 
260 

 
 
 
So, a while back i read about this idea, but i cant find it anymore, so i was wondering if anybody else knows about...

Aug3114 11:47 PM
Simon Bridge

1 
160 
Let a,b are constants.
a=\int_{∏}^∏ f(x)\,dx
and
b=\int_{∏}^∏ {g(x)f(x)}\,dx,
Then by integration...

Aug3114 03:55 PM
mathman

5 
246 
Given: cos(x)\frac{1}{x}
Find \frac{dy}{dx}:
Now I know... \frac{dy}{dx} of cos(x) = sin(x)
and...

Aug3114 12:18 PM
Shinaolord

10 
155 
Hey. I'm new to the forum and I was hoping you could help me solve this integral. I was searching for a clue on...

Aug3114 09:28 AM
SteliosVas

7 
325 
You know that the problem of calculus of variations is finding a y(x) for which \int_a^b L(x,y,y') dx is stationary....

Aug3114 02:45 AM
Shyan

9 
282 
Hi members,
see attached Pdf file.
For a<0,write b=a and let x=bt.Then
My question:
how becomes the...

Aug3014 07:41 PM
HallsofIvy

1 
130 
I was playing around with some simple differential equations earlier and I discovered something cool (at least for...

Aug3014 07:20 PM
paradoxymoron

4 
321 
So, as i understand, the geometrical meaning of this type of integral should still be the area under the curve,...

Aug3014 03:39 PM
Siddartha

6 
255 
My textbook says the extreme value theorem is true for constants but I don't buy it. I mean I suppose that every...

Aug2914 12:22 AM
Austin

9 
237 
Hi! I am taking a second look on fourier transforms. While I am specifically asking about the shape of the fourier...

Aug2814 03:27 PM
mathman

2 
156 
Hi,
I am struggling for some time to solve the following integral:
$$
\int_{n}^{Nn} \left(...

Aug2714 09:14 AM
Greg Bernhardt

1 
326 
Can someone explain to me why in this equation (attached)
where ρ(t)=\sumδ(tti) , dirac funtion.
in the left...

Aug2614 10:03 PM
Fredrik

3 
235 
First off: I think I understand the chain rule and how it derives from
\lim_{h \to 0} \frac{ f(x+h)f(x)}{h}
...

Aug2614 07:55 PM
Fredrik

8 
258 
Hi
The question is the following: is it possible for a (say) real function to be continuous at a certain point...

Aug2614 08:42 AM
glance

4 
214 
Hi :)
I'm doing my ALevels and have a maths investigation project for which I decided to model the working of a...

Aug2514 07:58 PM
Simon Bridge

10 
511 
Hi,
Is the following integral well defined? If it is, then what does it evaluate to?
\int_{1}^{1} \delta(x)...

Aug2514 03:55 AM
pwsnafu

10 
327 
I am looking at a solution to an question and I don't understand how the value of the following definite integral...

Aug2414 05:29 PM
SteamKing

7 
315 
Hi. Is using the LeviCivita symbol to calculate crossproduct combos like A x (B x C) allot faster than just using...

Aug2414 10:50 AM
Fredrik

2 
222 
I'm doing an undergraduate course in engineering 1st sem. I have physics which contains cumbersome amount of vector...

Aug2314 06:59 AM
mal4mac

2 
245 
Firstly, the set E is defined:
"Let E be the set of all positive real numbers t such that tn<x."
Later on the...

Aug2214 12:51 PM
GMB

3 
1,694 
many books only tell the operation of total derivative and partial derivative,
so i now confuse the application of...

Aug2114 08:11 AM
HallsofIvy

3 
392 
Differentiation by first principles is as followed:
$$y'=\lim_{h\rightarrow 0}\dfrac {f\left( x+h\right) f\left(...

Aug2014 10:23 PM
FilupSmith

15 
2,442 
Apparently,
f \nabla^2 f = \nabla \cdot f \nabla f  \nabla f \cdot \nabla f
where f is a scalar function.
...

Aug2014 12:12 PM
vtfjg87

2 
252 
Let a\in\mathbb{R}, a>0 be fixed. We define a mapping
\mathbb{Q}\to\mathbb{R},\quad q\mapsto a^q
by setting...

Aug1914 06:20 PM
jostpuur

2 
245 
Hey guys,
Not claiming to be an expert on numerical methods here but I am doing some digital integration using...

Aug1914 01:46 PM
HallsofIvy

1 
236 
I'm an undergrad who has just completed the standard calculus sequence (1, 2, and multivariable). I've done well in...

Aug1814 02:04 PM
Matterwave

3 
363 
You can prove if f(x) is an odd function and f(x+ t) is an even function then f(x) is periodic with period at most 4t....

Aug1714 02:10 AM
dimitri151

2 
288 
I think this is a theorem, and I'm telling myself that I've proved it. Just a shout out for any possible...

Aug1614 11:39 PM
WWGD

3 
298 
1.
What if absolute convergence test gives the result of 'inconclusive' for a given power series?
We need to...

Aug1614 03:26 PM
mathman

5 
421 
Simply put, can you find the function which extremizes the integral
J=\iint L\left(x,y,f(x),f(y),f'(x),f'(y)\right)...

Aug1614 03:36 AM
julian

4 
474 
Can you suggest a general analytical solution to the following equation
\ln(x^{3/2})bxc=0
where x is real...

Aug1514 02:54 PM
Borek

6 
368 
Hello everyone,
I brushing up on integration techniques and I came across this problem in a book. Does anyone here...

Aug1514 01:43 PM
FeynmanIsCool

2 
462 
Could someone walk me through how to maximize this 2variable function wrt z?
...

Aug1514 01:20 PM
da_nang

3 
399 
Hi,
Let y= sin(x) + cos(x) + tan(x) + sec(x) + csc(x) + cot(x)
Find the minimum value of "y" for all real...

Aug1514 10:09 AM
Amad27

27 
888 
Our integral
\int\limits_0^{\pi/2} \sin^{2a+1}(x)\,dx
Has a Factorial Form:
{(2^a a!)}^2 \over (2a+1)!
What...

Aug1314 07:46 PM
musik132

3 
301 