# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
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 Meta Thread / Thread Starter Last Post Replies Views 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 40,057 (This isn't homework, just a curiousity derived from another problem) Well, this is probably quite simple...:shy: ... Dec20-05 04:24 PM bomba923 3 1,544 Imagine that I have a pipe that is on a constant slope at any percent. On the low end of the pipe, there is a... Dec23-05 04:11 PM Tide 1 8,172 let,s suppose that we have the limit with n tending to infinity: \frac{f(n)}{g(n)}=1 then i suppose that for n... Dec25-05 04:32 PM matt grime 4 1,629 for a divergent series i can write an expression in the form: \int_{R}dxC(x)w(x)e^{-ax} where a is a divegent... Dec25-05 04:43 PM Tom Mattson 1 1,664 Let's say I wanted to find the length of the perimeter of a semi-circle using integration with x(t) = cos(t) and y(t)... Dec25-05 11:36 PM Alkatran 3 1,308 I'm not getting this. Can someone show me how they got from this: - T cos ( \theta ) + (T + \Delta T ) cos (... Dec26-05 03:59 PM lalbatros 15 2,267 let be the next functional differential equation: \delta{F}=G then its solution would be: F=\int{DG ... Dec27-05 10:39 AM matt grime 3 1,562 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 1,438 Working from "Principles of Mathematical Analysis", by Walter Rudin I have gleaned the following definition of... Dec27-05 02:47 PM mathwonk 6 1,498 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 2,037 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 1,492 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 2,555 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 2,097 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 1,824 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 2,547 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 1,242 My Calculus professor has indicated a 'shortcut' in determining polynomial fraction limits, I am inquiring if this... Jan6-06 08:57 AM VietDao29 2 12,503 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 2,171 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 1,833 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^^ 0 912 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 2,162 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 1,716 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 1,882 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 1,018 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 3,021 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 7,717 (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 1,388 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 1,009 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 1,662 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 1,550 I have made some observations regarding the Precise Limit Definition. For any given polynomial: ax^n The... Jan15-06 11:03 PM benorin 10 2,155 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 1,185 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 1,273 Integrate This ( 1 2 3) 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 4,103 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 1,436 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 5,623 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 1,176 Leibniz Limits... ( 1 2 3) 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 5,066 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 15,158 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 7,051

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