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

Feb2313 09:24 AM
micromass

1 
46,294 
hey all
can anyone explain why, for small \alpha we may allow \tan \alpha = \alpha at an intuitive, geometrical...

Oct1313 09:17 PM
Simon Bridge

3 
1,215 
What I know from the chain rule is that if y and u are differentiable with respect to x then dy/dx = (dy/du)*(du/dx)
...

Feb1912 04:47 PM
alexfloo

5 
1,093 
Hello!
I'm studying on my own the complex error function w(z), also known as Faddeyeva function. On page 297 from...

Jul808 12:12 AM
luisgml_2000

0 
3,290 
I've encountered two definitions of measurable functions.
First, the abstract one: function f: (X, \mathcal{F}) \to...

Dec1010 07:53 PM
dimitri151

4 
1,293 
Hello!
I am having problems with the inverse function theorem.
In some books it says to be locally inversible:...

Nov2208 01:12 PM
HallsofIvy

5 
3,623 
If f from R to R is continuous, does it then follow that the preimage of the closed unit interval is compact?
At...

Oct2307 09:39 PM
mathwonk

14 
3,952 
hello
(pardon me if this is a lame question, but i got to still ask)
If a function is uniformly continuous (on a...

Apr1113 09:02 AM
lavinia

22 
1,821 
i know that the sine integral converges to pi/2. But what about the abs value of the sine integral. It seems to me...

Apr905 12:56 PM
shmoe

4 
7,018 
I'm currently relearning on my precalculus and calculus and have been reading Sylvanus P Thompson's _Calculus Made...

Dec510 09:56 AM
ShinyRedCar

5 
2,157 
My defintion of an absolutely convergent series is one in which you can rearrange the series and it converges to the...

Nov1606 08:55 PM
Oxymoron

15 
4,695 
If \sum x_n converges absolutely, and the sequence (yn) is bounded, then the sum \sum x_n y_n converges.
Find a...

Mar508 01:55 PM
d_leet

4 
1,231 
Hello!
What is the integration of the absolute value of e^ix? That is what is ∫e^ix^2 equal to? The whole...

Jun413 05:08 PM
micromass

3 
654 
The extreme value theorem says that if a function is continuous on a closed interval then there are an absolute max...

Oct2705 11:04 PM
hypermorphism

11 
13,563 
I found that the local minimum of y=x(e^1/x) is (1,e) but can someone tell me why the absolute minimum is also not...

Nov611 09:16 PM
Ultramilk

3 
910 
x^2  2x  3 = (x^2  2x  3), 0 <= x < 3
x^2  2x  3, 3 <= x <=4
how did they get the...

Jan2205 09:47 PM
KataKoniK

2 
1,215 
hello all
Iv been working on alot of integrability questions and im having trouble with this problem
let f be...

Jun2205 11:31 AM
quasar987

3 
3,505 
Hi. For an integral like this, for example:
\int {\sqrt {1  \cos ^2 x} dx}
The most obvious way of solving...

Jul2007 04:17 AM
VietDao29

3 
11,452 
this is the question,
Prove that if f is continuous on (a,b] and if f is bounded on then f is integrable on . ...

Nov2308 05:23 PM
lurflurf

1 
3,077 
Hi all,
I'm wondering about this question
I can prove that if lim_{n>inf} (a) = L then lim_{n>inf}abs(a) =...

Feb609 01:41 PM
Pere Callahan

2 
4,676 
Hello all,
I'm having trouble showing that e^it=1, where i is the imaginary unit. I expanded this to...

Apr1813 06:15 AM
agentdoggett

6 
3,910 
When is it true that is a=b, then either a=b or a=b*, where a and b are complex numbers and b* is the complex...

Mar209 03:06 AM
CompuChip

3 
1,415 
Hi,
I came across a book which looks at a problem like
\lim_{x \to 0}\frac{1}{x}
So you approach from 0, and...

Jun1410 07:30 PM
darkside00

8 
3,451 
if h=ln(absolute x)
then how do you calculate e^h?

Aug2205 10:21 AM
asdf1

21 
3,446 
In a lot of compilations of standard integrals (my Calculus book does this, Wikipedia does this), a lot of the...

Feb710 03:31 PM
NanakiXIII

2 
1,562 
Hi.
An absolutely closed metric space M is such that: If N is a meric space containing M, then M is closed in N.
...

Aug3009 06:08 PM
quasar987

5 
826 
i'm having a difficult time trying to grasp what absolute continuity means, i understand uniform continuity. i cant...

Apr2810 04:05 PM
mathman

3 
1,649 
Is the space of all absolutely continuous functions complete?
I've never learned about absolutely continuous...

Aug2910 03:03 PM
Landau

7 
2,246 
hello all
well i think im kind of brain dead, iv been workin on alot of problems over the last few days, I cant...

Jun1905 03:33 PM
saltydog

5 
1,729 
G is a finite group, G =p^n, p prime
*:GxX > X is group action. X is a finite set,
I am required to prove...

Apr2407 04:04 PM
catcherintherye

2 
1,479 
I'm looking into purchasing a book on Abstract Analysis. I'm inclined to purchase Gleason's Fundamentals of Abstract...

Oct1708 07:35 PM
Reedeegi

0 
1,119 
I have a few questions about the generalizations of concepts like integration and differentiation of singlevalued...

Jul1614 03:13 PM
jambaugh

3 
2,566 
Hello.
I understand that \frac{dx}{dx}=\theta(x)\theta(x) and then \frac{d^2x}{dx^2}=2\delta(x).
But i...

Mar910 08:53 AM
alejandrito29

0 
733 
Why is it that performing algebraic operations on differentials in Liebniz notation is considered an abuse of the...

Jul1209 09:21 AM
Hurkyl

115 
8,736 
My question regards how the approximation becomes an equality.

Mar113 05:31 PM
charliepebs

6 
888 
Could someone please explain to me how to do the following problem?:
The acceleration of an object is given by a(t)...

Oct2004 05:26 PM
DeadxBunny

2 
3,637 
If you parameterize an ellipse such that x=acos(t) and y=bsin(t), then you quite easily get the relations:
...

Mar2011 08:06 PM
D H

4 
3,294 
Hello all,
i have some acceleration value s in each axis(x,y,z)
i want to calculate the acceleration and...

Sep1710 03:44 AM
trilok

0 
4,300 
To get the value of g, the period(T), length of pendulum (l) and radius of pendulum bob (a) were measured.
Well, my...

Jul212 12:41 PM
aruwin

2 
453 
Hello all
I am having trouble integrating the function x^a. Take in consideration that we are not using any rules...

Nov504 01:01 AM
ReyChiquito

5 
1,310 
Hi,
I noticed such a strange behavior in my code every time I add a threshold: little oscillation around the...

May1710 02:26 AM
matteo86bo

2 
935 