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Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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Jan16-12 Greg Bernhardt
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 43,794
Hello, I have two questions to ask regarding uniform convergence for sequences of functions. So I know that if a...
Jan31-06 03:44 AM
benorin
4 2,785
Hello everybody. I haven't found anywhere the rigurous relation between the Continuos Fourier Transform (CFT) of a...
Jan31-06 01:59 AM
Fernsanz
0 3,092
In the Fundamental Theorem of Calculus, it is stated that lim max deltax_k -> 0 sigma f(x_k*)*deltax_k = L, ...
Jan28-06 04:05 AM
Galileo
7 2,589
e^{-x^2}\cos \left( e^{x^2} \right) Mathematica doesn't have an algorithm for it, does a closed form exist for the...
Jan27-06 03:19 AM
cogitoČ
1 1,434
Hi, Find the result of this integration:: \int_0^\infty \frac { e^ {-3x} - e^ {-4x} }{x} dx The members who know...
Jan25-06 11:12 AM
shmoe
8 1,315
In physics, we often use the assumption that if the integral: \int_D f(\vec x) d \vec x =0 and this holds for...
Jan24-06 01:20 PM
StatusX
1 2,096
Can anyone help me integrating the folowwing integrand from zero to infinity: x*ln^2(ax)*exp(-bx^2+cx) where a,b and...
Jan24-06 08:10 AM
ari_a
3 1,440
Question that I came across and that has stumped me for about a week hehe. Let p(z)=z^n +i z^{n-1} - 10 if...
Jan24-06 03:30 AM
Muzza
1 7,131
If I had a sinusoid, how would I find the average value of it over a given interval. Say -pi/5 to pi/5 for instance....
Jan23-06 06:18 PM
mathman
3 15,534
Is this identity true? Identity: \frac{d}{dx} x^n = \lim_{h \rightarrow 0} \frac{(x + h)^n - x^n}{h} = nx^{n-1}
Jan23-06 12:54 PM
benorin
51 5,147
I hope the following webpage on new roots solving algorithms based on the Arithmonic mean (a particularcase of the...
Jan23-06 10:18 AM
arithmetic
0 1,210
I did some number crunching and found the following: Given n equations in n unknowns: a*f(x) + b*g(y) = c...
Jan19-06 04:49 PM
Edwin
9 5,950
i need help in proving this essential ineuality which i don't know how to prove (quite trivial isn't it):...
Jan18-06 10:37 PM
leon1127
11 1,467
Happy new year for you all, This is very nice place, So girls and boys, let me give you something to play with:...
Jan17-06 07:07 PM
enigma
37 4,174
f_n(x)= x^n/1 + x^n does this series converge on the interval Say if x = 1 then the series is < some epslon ,...
Jan17-06 01:16 PM
maverick6664
4 1,301
Hi, I ran into a situation I haven't experienced before where the integral of the derivative doesn't get me the...
Jan16-06 12:33 PM
dc20
6 1,213
I have made some observations regarding the Precise Limit Definition. For any given polynomial: ax^n The...
Jan15-06 11:03 PM
benorin
10 2,238
This problem is baffling myself and several of my friends in the infamous Physics 152 class... so I give it to you...
Jan15-06 11:09 AM
matt grime
5 1,587
How do you find the limit to: Lim x->0+ sqrtx/(1-cosx) I use the L'Hopital rule and i get lim x->0+ ...
Jan14-06 03:35 PM
mathwonk
12 1,695
Hello...I need help and I know this is a very simple problem...I don't know why I'm getting stuck( Maybe because it's...
Jan14-06 12:45 PM
matt grime
1 1,032
(A, B) is an interval in the real line. If I take the middle point (B-A)/2, and then take the middle point of each of...
Jan13-06 09:30 AM
Castilla
7 1,435
I would like to determine necessary and sufficient conditions for equality to hold in Minkowski's Inequality in...
Jan12-06 09:17 AM
fourier jr
2 7,903
I am thinking about purchasing some math software so I can get a better understanding of the math I am learning. I...
Jan11-06 09:52 AM
shmoe
19 3,151
Given a real-valued function f:X \mapsto \mathbb{R} where X is a subset of \mathbb{R}^n. Consider a closed extended...
Jan11-06 01:12 AM
kaosAD
0 1,048
Find a & b for the following transformation 1/(z+a) = (a/z) + I am kind of lost as to where to start on this...
Jan10-06 11:16 PM
Tide
1 1,909
I'm doing a review in calc I to prepare for calc II. I'm now applications of derivatives (optimization). Okay so when...
Jan10-06 04:24 AM
Demian^^
4 1,750
My calculus book describes the following example: Equation: \lim_{x \rightarrow 0} \sin \frac{\pi}{x} = \text{does...
Jan9-06 06:13 PM
Data
15 2,218
It should be relatively easy, but I can't seem to figure out how to begin.. if anyone could help me out, I would be...
Jan8-06 04:00 PM
Demian^^
0 928
Hi. I have this exam in vector calculus tomorrow, but i'm having trouble sorting the following formula out. Could...
Jan8-06 02:55 PM
Tide
3 1,869
Hi, Let C_1 and C_2 be nonempty convex sets and suppose C_1 \cap C_2 \neq \emptyset . I read a text that claims...
Jan6-06 10:19 AM
matt grime
10 2,251
My Calculus professor has indicated a 'shortcut' in determining polynomial fraction limits, I am inquiring if this...
Jan6-06 08:57 AM
VietDao29
2 12,616
let,s suppose we have a function f so the limit when \epsilon\rightarrow{0} is infinite..now i would like to know how...
Jan5-06 04:21 PM
Edwin
2 1,280
I'm not sure if this is calculus, but it is like a review in my calculus class. Suppose that in any given year, the...
Jan2-06 04:41 PM
Jacobpm64
9 2,610
Facts: 1. We have the decrecient sequence {a_n} which converges to "a". 2. Let "K" be a constant. 3. We have the...
Dec31-05 10:41 AM
Castilla
4 1,882
I found this in the web: We say that f is lower semi-continuous at x_0 if for every \epsilon > 0 there exists a...
Dec29-05 02:39 PM
benorin
10 2,157
If f is a continuous decreasing non-negative function on a_n = \sum_{k=1}^nf(k) - \int_1^nf(t)dt. I need to show...
Dec29-05 01:15 PM
sparkster
3 2,606
let be the divergent series: 1^p+2^p+3^p+.....................+N^p=S(N) with p>0 my question is..how i would...
Dec28-05 02:17 PM
shmoe
2 1,524
Hi, I want to do an experiment using two dissimilar ropes in my basement and see if I can produce some results using a...
Dec28-05 10:50 AM
Cyrus
7 2,072
Working from "Principles of Mathematical Analysis", by Walter Rudin I have gleaned the following definition of...
Dec27-05 02:47 PM
mathwonk
6 1,559
i would like to know how to prove this equality: \frac{1+2^p+3^p+.....+n^p}{\int_0^{n}dxx^p}\rightarrow{1} for...
Dec27-05 02:39 PM
mathwonk
3 1,477

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