az Use chain rule to find x2 with x = 3rt and y = r Z =

Q: Fina aly for y = 3x V3-x4

A: we have to find dy for given y

Q: hain Rule to find the

A: Here we have to use the chain rule and find the indicated partial derivative.  we have,

Q: Find dy/dx if y = x3/2 by using the Chain Rule with y as a compositionof y = √u and u = x3

A: Recall the chain rule of differentiation:

Q: az QI. Find the az and ax partial derivative ду x² sin (y*) + xe³ – cos (z) = 3y – 6z + 8

A:

Q: 5. Show how the origin changes stability as a changes by using the Poincaré Diagram. x - [i :]• 2 a…

A: The stability of fixed points of a system of constant coefficient linear differential equation of…

Q: Differentiate ysin(1/y)=1-xy

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Q: Water is flowing through a net= terms of the parameters s anc

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: . Form the differential of the system of circles touching the y-axis at the origin.

A: The solution is given as

Q: In2t To calculate || dt we can use (which method):

A: According to our company policy, we are supposed to answer only one question at a time. For the rest…

Q: Suppose X and Y are the coordinates of a randomly sampled point in the triangle with vertices (- O),…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: ху +8x*yVz find the partial derivative Wgyz 2. Given w =In %3D

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Q: Find both first partial derivatives. 6y* az ду.

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Q: Let F(u, v) = e"t", u = x°, v = 5xy. Use the Chain Rule to calculate the partial derivative. (Use…

A:

Q: Find both first partial derivatives. 5xVy %3D az az ду

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Q: yUx-xUy=U , U(x,1)=2+e^-x

A: Given partial differential equation is, yux-xuy=u      .....1. With initial condition ux,1=2+e-x.…

Q: Make an example of an autonomous ODE, with stable equilibrium at -1 and 3, and an unstable…

A:

Q: Fbin= S= Fbin oS = ? (**Show your work for the intermediate step as well**)

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Q: Find the particular soluti y' + 3x²y = 3x² %3D Initial Condition: y = 6 %3D

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Q: Ving model: Y; = Bo + B1Z¢ + B2X¢ + B3Xt-1 + B4Xt-2 + Et %3D as of freedom will vou have for this…

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Q: How is the Chain Rule applied when finding dydx implicitly?

A: According to the question, we have to explain the chain rule when used in the implict function.…

Q: Use approbriate ferm of chain rule to fird %3D

A: Given  z=cos(x)sin(y)x=u−vy=u2+v2

Q: Find the partial derivative. z = (2² + 2x – 6y)"

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Q: Use chain rule to find given x² + 2y² + z² and x os (st), y %3D Cos

A: Solve the following

Q: How many second partial derivatives does f(a,b,c, d) have?

A: Let p=fa,b,c,d. Note that, for a function of two variables p=fa,b there are four second partial…

Q: 4. Find the orthogonal trajectories of the family of curves y = Ce* +10

A: Given that : y = Ce2x + 10

Q: Find the orthogonal trajectories of the family of circles passing through the points (1, −2) and (1,…

A: Given that

Q: xsin 1x Vx+1 2tan-x Vx+1 2tan-1x QI) Find of y=: e2x+1

A: We will find dy/dx as following .

Q: 2] write the chain rule formula for the derivatives Of and E , where Z=ZCrisit).

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Q: Differentiate the function y = 6 + x using the Chain Rule. dy %3D

A: Given, the function is                              We have to differentiate this function using…

Q: State the two conditions required for performing a paired t-procedure. How important are those…

A: From the question,Paired t-procedure is the dependent sample t-test, is used to estimate whether the…

Q: [1] Determine the orthogonal trajectories of y(1+2x²)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1) Determine the orthogonal…

Q: Find the general solution of the ODE.

A:

Q: Use the Chain Rule to compute the partial derivative. би +о In (3u? + uv) = 3u + uv

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Q: Find the order of the error in Euler's method.

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Q: 4 Find the distance between u = -3and z= - 1 8

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Q: In the second order linear ODE with constant coefficients ау +by'+с%3D0 the coefficient a should be…

A: Now we will solve the problem.

Q: chain

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Q: Cak16 area Find the sucface f revolution for enx 23 for Isx<2 about the y-axis a be

A: To find the surface area of revolution of the below curve from x = 1 to x = 2 about the y-axis.…

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: 2an-butn Converge bey to

A: The given sequence is an.bnn=1∞ we observe that there is N1&gt;0, so that when n&gt;N1, we have…

Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ +10

A: Given that, Family of curves is following, y = Ce2x + 10…

Q: hich vect וdtiolו y and 2? 1 -2 y = 1 -6 x = 2 8 -1 2 -1 5 2 -3 [ 2 -1

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Q: Explain how successive over relation is obtained from the Gauss-Seidel method.

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Q: Verify the chain rule y = t³. %3D

A: Given query is to solve the expression using chain rule of derivative.

Q: y = In (cot 8x)

A:

Q: az Find if yz – In z = x + y ax

A: