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Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
micromass
1 40,008
Design the optimal conical container that has a cover and has walls of negligible thickness. The container is to hold...
Apr10-11 12:08 PM
tiny-tim
7 1,173
I innocently gave my students a problem: Which differentiable functions f: R \rightarrow R are bijective?...
Apr10-11 07:45 AM
Citan Uzuki
13 2,496
Hello, I actually have an exam coming on series, sequences, polar coordinates and parametric equations. The only major...
Apr9-11 02:47 PM
matiasmorant
1 577
Given that 1/x is symetric across y=x, why can't we say \int^1_0 1/x - x dx= \int^\infty_1 1/x + x dx? Geometrically,...
Apr9-11 01:48 PM
TylerH
2 2,787
Hi, I am doing work that requires me to take the derivative of an integral over a distribution. I believe I...
Apr8-11 04:37 PM
bob_johnson
8 1,809
Hi, given u(x,t) = \int_{t_o}^t \left(Sech^2(x-ct_1)-Sech^2(x+ct_1)\right)g(t-t_1) dt_1 and g(t) \to 0 \quad...
Apr8-11 01:49 PM
nickthequick
0 1,567
I'm a self-learner (so far) when it comes to Calculus. I have completed College Algebra (with a grade of B) and...
Apr8-11 12:41 PM
Stephen Tashi
12 5,003
\ Is \ \mathbb{N} \ dense \ in \ itself.
Apr8-11 12:06 PM
Landau
8 1,315
Are there any circumstances under which we can conclude that, for an invertible, bounded linear operator T, \|...
Apr8-11 11:54 AM
AxiomOfChoice
3 8,461
Suppose u(x) is periodic with period 2\pi. Also m\le u(x)\le M. Then is it possible for some derivatives of u(x) to...
Apr8-11 11:51 AM
Charles49
4 1,773
Hey all, so I need to find 4th degree taylor polynomial of f(x)=sec(x) centered at c=0 Can I just use substitution...
Apr7-11 09:22 PM
XCyoungX
14 12,867
We have been using some chapters from this textbook (1995 edition, ISBN: 978-0070602281) in my Advanced Calculus...
Apr7-11 08:51 PM
Disinterred
3 3,039
Hello, Lets say I have three operators k_3=\partial_\phi,...
Apr7-11 03:24 PM
jfy4
0 544
Hi, I did not understand the following: We have : Partition is always a "finite set". A function f is said...
Apr7-11 03:06 PM
lavinia
8 1,031
I've never really thought about this before, but today it hit me: Why do we define the Fourier transform of a function...
Apr7-11 09:37 AM
I like Serena
8 6,427
I came across this question. We're looking for the conctd components of this set of circles: centered at (0,1) and...
Apr7-11 08:12 AM
lavinia
4 790
Hi guys, can anyone help me with evaluating this: \int^{}_C |y| \,ds where C is the curve (x^2+y^2)^2=r^2(x^2-y^2) ...
Apr7-11 07:41 AM
HallsofIvy
4 1,092
For particle location, perturbation theory, etc, I see the following integral. \LARGE \int_0^t { e^{i\omega...
Apr7-11 07:36 AM
HallsofIvy
1 1,219
Though I know that the limit as x approaches 0 of x^x is 1, I can't prove it... ...can anyone please help me?
Apr7-11 03:19 AM
Bassalisk
6 5,186
I have been looking at this problem for quite some time and have been unable to figure out how to approach it. the...
Apr6-11 03:03 PM
HeisenBerg46
3 1,240
The other day I stumbled across a certain integral that had a three-letter-abbreviation that I believe began with A. I...
Apr6-11 01:57 PM
HeisenBerg46
0 1,109
I recently read a paper on fractional derivatives. That is how to take derivatives of fractional order rather than the...
Apr6-11 09:31 AM
starzero
3 1,134
I need some feedback about something that does not make sense. The parabola and hyberbola can be found in the...
Apr6-11 06:48 AM
94JZA80
19 2,737
Given a+b >=c , I'm trying to obtain values of p such that a^p+b^p>=c^p. Obviously, for p>1 the relation does not...
Apr6-11 06:01 AM
onako
1 722
Hi there, I'm new to this community, but I think I need some help. Have been trying to analytically compute the 2D...
Apr6-11 01:50 AM
sooke
0 1,380
How would you integrate product of heaviside function and function of x i.e. int Thanks
Apr5-11 04:43 PM
mathman
3 2,069
Hi all, I've reason to believe that the function f(q)=\int\frac{d^{4+n} k}{(2\pi)^4}\frac{1}{(a \cdot k -i...
Apr5-11 01:58 PM
muppet
1 474
For months I have been staring into this expression, and I cannot visualize what the hell omega represents... ...
Apr5-11 12:58 PM
Bassalisk
4 825
We know that every discrete metric space with at least 2 points is totally disconnected. Yet I read this: A MS that...
Apr5-11 12:33 PM
Bachelier
6 1,294
A Union of a FINITE collection of closed sets is closed. But if it is an infinite collection? Can someone provide an...
Apr5-11 12:04 PM
Bachelier
2 841
What led to the definition of the Laplace transform ?
Apr5-11 11:19 AM
neginf
0 456
I've been studying Turbulence, and there's a lot of averaging of differential equations involved. The books I've seen...
Apr4-11 11:01 PM
lurflurf
7 1,508
This is a question i hope someone on the forum can help me answer. Recently In a lab i had this question pop into my...
Apr4-11 10:16 AM
Stephen Tashi
1 973
Hi, If we consider Rolle's Theorem: "If f is continuous on , differentiable in (a,b), and f (a) = f...
Apr4-11 07:57 AM
HallsofIvy
2 771
Can some one help me to understand this: I need to use the second shifting theorem to get the Laplace transform,...
Apr4-11 02:02 AM
Too Easy
1 3,308
Hi, First off, im not doing a course in physics or maths so excuse me if this is a very basic question. I have the...
Apr3-11 11:54 PM
Stephen Tashi
1 637
Hi I have tried to integrate the following equation \int(3x^{2}+4)(2x^{3}+8x)^{-4}dx I have tried to expand the...
Apr3-11 10:59 PM
dvmaz
2 5,496
The question states: Suppose that f:R--->R is continuous and that f(x) in the set Q (f(x)eQ) for all x in the Reals...
Apr3-11 06:27 PM
Halen
15 1,334
the question states: suppose that f:(0,1)--->R is a (strictly) increasing function. suppose also that there is a...
Apr3-11 06:16 PM
Halen
2 965
My professor tried to show the following in lecture the other day: If T is a linear operator on a Hilbert space and...
Apr3-11 04:35 PM
AxiomOfChoice
4 852

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