Chain Definition and 939 Threads

Using the "Chain Rule" Alright I've been working on some more practice problems and doing fairly well in finding the correct derivative, until I came to this question: y = [PLAIN]http://upload.wikimedia.org/math/1/6/0/160a5b4ac79375bd4c5e13c0f3a95f73.pngcos(sin^2x)[/URL] (everything is...

I need to find the tension of a spinning chain with mass per unit length u and angular speed w. I need to show that em waves on the chain travel at the same speed as the chains linear speed. please help if you can,

I think I've got this, but I'm not quite sure, especially about multiplying to get du to be what I want. Can someone please tell me if this is correct? (The first line is the problem.) Thanks! \int\frac{3xdx}{\sqrt[3]{2x^2+3}} I set u=2x^2+3, du=4x so the problem becomes \int...

Problem: u(x) = u_1(x)u_2(x)\cdot\cdot\cdot u_n(x) Show that u'(x) = u(x)\left[\frac{u'_1(x)}{u_1(x)} + \frac{u'_2(x)}{u_2(x)} + ... + \frac{u'_n(x)}{u_n(x)}\right] Hint: Take the logarithm of u(x) first. I solved this by using the chain rule. Regarding the hint, am I missing...

umm this question seems simple enough but I don't really know what I'm doing... A chain consisting of 5 links, each of mass .100 kg is lifted vertically upwards with a constant acceleration of 2.50 m/s^2. Calculate the force that link 2 exerts on link 1. so what I did was add the masses...

ok firstly i understand how the chain rule works however I am given this table x f '(x) g(x) g'(x) h'(x) 0 7 2 ___ 32 2 8 0 -3 ___ im told to fill in the blanks where h(x)=f(g(x^2-x)) this problem has become an annoyance at first i assumed to solve i would take...

I need help solving this problem. It is in my textbook but no answer is provided in the appendix. If y=2t+3 and x=t^{2}-t, find \frac{dy}{dx} In theory this should be fairly straight forward! Simply find \frac{dy}{dt} and \frac{dt}{dx} and multiply both derivatives together to find...

I need help differentiating y=\sqrt{x-2}\sqrt{x+1} I am using a mix of the chain rule and product rule which my textbook for school wants me to use for this. So suggestions for different ways of approaching it won't help :P Anyways, thanks in advance for looking over it. It's my first...

could you have a long chain of c=c carbon double bonded to carbon each carbon would be sp hybridzed, with two pi orbals bonded to adjacent carbons c=c=c=c=c=c=c=c=c=c=c=c=c=c=c=c=c=c=c=c going on for millions or even billions of repeating elements which would be in resonance c-c...

hey how would i find the derivative of y= -18 \sin 80 t? thanks pavadrin

I am suppose to derive the following and then find x if f´(x)= 0 f(x) = (6-x2) \bullet e2x Which one should be used? I guess I am confused with the fact that it is e2x Product rule gives: (6-x2) \bullet e2x + e2x \bullet (-2x) e2x(6-x2-2x) (x1 = 0) -x2-2x+6 = 0 gives decimal values that...

The rebuild of my bike is well under way but i have hit a snag, i decided to convert the primary drive from chain to belt drive, all the parts are under construction, the problem is the origonal housing is 3/8 to narrow, and these housings are notorious for leaking oil any way, the oil comes...

Does anyone know of a website or two that would have some good information on Polymerase Chain Reaction?

f(t) = 6e^{0.013t} How do I find the derivative of this? I'm confused. Do I have to use the chain rule here or the product rule, or both?

This is for a graded online homework due at 11. I got everything else on it right, but this is giving me trouble for some reason. We get to resubmit answers once, and my first answer of 215.6N was wrong Question: The pulley system in the figure is used to lift a crate of mass m = 44 kg. Note...

Differentiate the function: f(u) = e1/u So, I used the chain rule and figured out that f '(u) = (-u-2) e1/u My question is, why do you have to use the chain rule? I know that if f(x) = ex then f '(x) = ex Why can't I pretend that 1/u is x and then say that f '(x) = ex = e1/u In...

I have an aptitude test in a Suppy chain management Company for the post of Software developer ( fresher). What kind of questions should I expect? Thanks !

I've always heard (from professionals as well) that each step in a food change has a roughly 10% efficiency rate. That is, you earn 10% of the energy the lower chain animal/plant earned when it ate/did whatever. Now my question is in regards to what you hear a lot of hippie-types say: Humans...

A flexible chain weighing 42.0 N hangs between two hooks located at the same height (Fig. P12.19). At each hook, the tangent to the chain makes an angle = 41.5° with the horizontal. (a) Find the magnitude of the force each hook exerts on the chain. (b) Find the tension in the chain at its...

i want to ask why only U235 is used for the chain reaction but not used U238

Question: Let Q = \sqrt{x^2 + y}e^t where (for t > or = 0) x = \sqrt{1 - e^{-2t}} and y = 2 - e^{-2t} Using the chain rule calculate dQ/dt, expressing your answer in as simple a form as possible. My work so far Subbing in values of x and y: Q = \sqrt{1 - e^{-2t} + 2 - e^{-2t}}e^t =...

I need to show that two equations equal one another. It's too complicated to display fully on here but I'm stuck on a step: dF/dr = df/dx cos2(h) + df/dy sin(h) (dF/dr)^2 = (df/dx)^2 cos^2(h) + (df/dy)^2 sin^2(h) Does anybody know how to get rid of the cos squared and sin squared...

f '(8)=5 g '(8)=3 f(4)=8 g(4)=10 g(4)=10 g(8)=2 f(8)=5 find (g o f)'(4) how do I go about setting up these types of problem.

Hi, I would like some help verifying the nature of a stationary point of the following function of two variables. f\left( {x,y} \right) = \sin \left( x \right) + \sin \left( y \right) + \sin \left( {x + y} \right) Ok so I equated grad(f) to zero and solved for x and y. I got three...

Chain falling off a table--Lagrange Method Chain of length L and mass M with uniform linear mass density slides off a frictionless table with dimensions L x L x L. Find the Lagrangian that describes this system. Then find the time when the last length leaves the table top. I'm thoroughly...

Hello, I'm preparing for my condensed matter exam and I'm trying to solve problem 3a) of chapter 22 in Ashcroft & Mermin. The problem is basically to prove that the dispersion relation of a diatomic linear chain will reduce to the monoatomic one when the coupling constants are equal...

Hi, does anyone know of any websites which have some theory and perhaps some examples of the matrix version of the chain rule. Neither of the books I have covers this particular topic so I'd like to read up on it. Any help would be appreciated thanks.

Hi, I'm having trouble understanding the solution to a question from my book. I think it's got something to do with the chain rule. The problem is to prove the change of variables formula for a double integral for the case f(x,y) = 1 using Green's theorem. \int\limits_{}^{} {\int\limits_R^{}...

Hi, here is what I'm trying to do: Find \frac{\partial}{\partial x} f(2x, 3y) First of all, I'm confused by the f(2x, 3y) How does the function look like? I imagine that it is for example f(x,y) = cos(xy) - sin(3xy^2} and that therefore f(2x, 3y) = cos(6xy) - sin(54xy^2) I'm...

I'm a little confused as to when to stop taking the derivative of the inside function when using the chain rule... Lets say I have f( g(x^2) ) Would this be correct? f`( g(x^2) ) * g`(x^2) * 2x ? Or do I keep on going until the x is completely gone from the equation?

I've been having some trouble grasping the conditions necessary to apply the chain rule to achieve the derivative of an algebraic expression or even apply it to a real world situation. So, my question to those skilled in qualitatively explaining the conditions for applying the Chain Rule and...

I'm so confused. I have to find the derivative of f(x) = x^5(4^(x^2)). All of the powers are messing me up. Any help would be much appreciated. Thanks!

I have the function: y=\sqrt{x+\sqrt{x+\sqrt{x}}} I need to find separate, smaller functions which will result in the composition of this function. I tried but all I ended up with was: f(x)=\sqrt{x} g(x)=x+\sqrt{x+\sqrt{x}} Therefore, y=f(g(x)) However, this is obviously a...

Hey, I am a bit confused oh how to use the chain rule when i have 2 variables in an equation... Example : f(x,y) = (Squareroot(x)).(cosh(x+y^2)) x(s,t)=st y(s,t)=s/t When i have 2 variables, I am not sure how to split it up and use the chain rule, all the examples i found only have 1...

Hello everyone... I'm very confused... i'm suppose to find dz/dt and dw/dt but for some of the questions there is no w variable! so what do u put for dw/dt?! Also i have the following: w = xy + yz^2; x = e^t; y = e^t*sint; z = e^t*cost; so I'm trying to find dz/dt and dw/dt; dz/dt =...

h = 3x^2.y^3 find dh/dt, if x=1, and y=2 Also, dx/dt = 0.2, dy/dt = 0.1 Any ideas where i should start in order to get this out? Thanx

I'm thoroughly confused as to how and work this problem. I thought I had an ok understanding of the chain rule when I started the section's homework, but this question has me ready to gorge out my eyeballs! The Problem: --------------- Find:dy/dx at x = 2 Given: y = (s+3)^2, s = sqrt(t-3)...

A chain of mass M and length L is suspended vertically with its lowest end touching the scale. The chain is released and falls ono the scale. What is the reading of the scale after a length x of the chain has fallen? So what I really have to find is the force applied by the string onto the...

chain rule agian - check my work please w = -xy-5yz+3xz, x = st, y = exp(st), z = t^2 dw/ds(5,-2) = ________________________ here's what i did: dw/ds = dw/dx*dx/ds + dw/dy*dy/ds + dw/dz*dz/ds dw/ds = (3z-y)*(t) + (-x-5z)(exp(st)*t) + (3x-5y)(0) plug in x,y and z... dw/ds =...

Suppose w = x/y + y/z x = exp(t), y=2+sin(5t), and z= 2+cos(7t) A.) Use the chain rule to find dw/dt as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite exp(t) as x. I got this one right, the answer is 1/y*exp(t) +(- x/y^2+1/z)*(5*cos(5t)) +...

A chain is held on a frictionless table with one-fourth of its length hanging over the edge. If the chain has length L= 28 cm and mass m=0.012 kg, how much work is required to pull the hanging part back onto the table? I have used this model: W horizontal + Work due to gravity = Work...

Hello everyone, our professor wanted us to find the vector chain rule proof and i found one here: http://web.mit.edu/wwmath/vectorc/scalar/chain.html But it makes no sense to me, where are the limits?

This is a problem that has stumped my entire class of Calc 1 students and two Calc 2 students. Find \frac {dy} {dx} y = \frac {(2x+3)^3} {(4x^2-1)^8} I know that the answer is (from the textbook, but I don't know how it got there) -\frac {2(2x+3)^2(52x^2+96x+3)} {(4x^2-1)^9}...

Please let me know if I derived this correctly (I did it a while back, and can't find the notebook): v(x,y)=u(r(x,y),s(x,y)) (derivations) At some point I come across this: \frac{\partial}{\partial x} \frac{\partial u}{\partial r} which I wrote as \frac{\partial^2 u}{\partial...

Let f: \Re^3 \rightarrow \Re be differentiable. Making the substitution x = \rho \cos{\theta} \sin{\phi}, y = \rho \sin{\theta} \sin{\phi}, z = \rho \cos{\phi} (spherical coordinates) into f(x,y,z), compute (partially) df/d(rho), df/d(theta), and df/d(phi) in terms of df/dx, df/dy...

Expired Thread... Expired Thread...

How I can choose a chain's sprockets for my Mechanical System ... Please need Sprocket's Tables Depending On Shafts Daimeters Or The Power . For Example If I have 35 mm shaft Need any tables for that ...

I would like to prove a chain rule for limits (from which the continuity of the composition of continuous functions will clearly follow): if \lim_{x\to c} \, g(x)=M and \lim_{x\to M} \, f(x)=L, then \lim_{x\to c} \, f(g(x))=L. Can someone please tell me if the following proof is correct? I am...

Could someone please help me, I do not understand how the author of my textbook gets from one point to another. Here is the problem worked out, after the problem I will explain which part I don't understand. f(x)=x(x-4)^3 f'(x)=x[3(x-4)^2]+(x-4)^3 =(x-4)^2(4x-4) I do not understand how...

Please help me on this. I am trying to make and exercise from an author M.D. Hatton (an english). Let x = x(r, w) = r. cos (w) Let y = y(r,w) = r. sen (w) Let V = V(x,y). So V depends on r and w. By chain rule (I put "d" for the partial derivative) dV = dV . dx + dV. dy --...