Chain Definition and 978 Threads

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.

I understand hhow to use the chain rule for a simple 2 part composite function, however, I tend to have problems when it gets past that. Can someone please help me master these complex derivatives, or just a few quick tips would be nice --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...

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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 --...

Hi, I have 2 questions: 1. partial fractions: if I have following integral: Itegral[(1-2x^2)/(x - x^3)]dx; my question is do I break down the denominator to x(1-x^2) or do I go further: x(1-x)(1+x); this way it becomes more complicated; 2. chain rule: how does chain rule work in this...

Ok so I am reviewing multivariable now that i have some time; (why is it taking me so long to grasp some of these concepts!? :mad: ) anyways, and I am reading the proof of stokes theorem. The book I use is Stewart, but it seems to be ripped off word for word from swokowski, which in turn rippes...

I hope someone can point me to some information to assist resolving this apparent SR paradox. I have two gear wheels with an endless chain passing round them. The axles of the wheels are 100 chain_link_lengths apart, so we have 100 chain links along the top; 100 chain links along the bottom...

Let \left( {X_n } \right)_{n \ge 0} be a Markov chain (discrete time). I have {\bf{P}} = \left[ {pij} \right]_{i,j} = \left[ {P\left( {X_1 = j|X_0 = i} \right)} \right]_{i,j}, and the initial probability distribution {\bf{p}}^{\left( 0 \right)}. I need to calculate P\left(...

Why does single strain DNA moves slower then double strain DNA in gel electrophoresis? I think that it is because single strain DNA has less electrical charge than double DNA helix, and single strained binds with H bonds uncharged molecules thus increasing it’s mass.

If I was trying to prove the chain rule for partial derivatives, can I start with the definition of a total differential? What I mean is: Let f(x,y)=z where x=g(t) and y=h(t). I'm looking for \frac{dz}{dt}. By definition, dz = \frac{\partial z}{\partial x}dx + \frac{\partial...

I have this question which is confusing as it should be harder than it appears... A uniform chain of length L lays on a frictionless table top. Suppose one link just hangs over the table's edge so that the chain begins to fall. Let x be the amount of chain that has fallen. What is the...

Consider the above infinite chain of resistors. Calculate the effective resistance, R in ohm of the network between the terminals A and B given that each of the resistances labelled r=4180 ohm. I've split the resistor and I've done R^2-Rr-r^2=0, solving for R and I don't get the right...

Hi again. So, my teacher has requested that we do an explanation of how this chain works and to some how improve the method. http://home.comcast.net/~p.jectz/bike.jpg There's the basic idea with the force acting downwards and the teeth of the chain pulling. So we could find torque to...

Hi, I've seen a couple of proofs for the chain rule, and I know this probably sounds stupid, but I'm wondering why it can't be proved as follows: given the real valued functions y=f(u), u=g(x) since dy, du, dx, are all real valued functions as well can't you just state...

urgent question: localised mode, localisation effect of linear atomic chain Hello everyone, it is great place you have here, hope I can learn a lot from you I am doing some readings and there are couple of concepts that I haven't been familiar with and if you spend a little time to help me...