6) Find ôzlôu and ôzlôv if z = 5 tan (x) and x= e" + In v at the point (u,v)= (In 2,1) Ans. z, = 2, z, = 1

Q: Choose the correct reduction 5 sin(wt) +5 cos(wt + 30) +5 cos(wt + 150 ) to the form Vm COS(wt + 0).…

A: As Cos(A) + Cos(B) = 2 cos(A+B/2) cos (A-B/2)

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A:

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A: As per our guidelines, we are supposed to answer only one question. Kindly repost other question as…

Q: ди ди 1. find az and " if z = 5 tan-1(x)and x eu + In(v) at the point (In2,1) %3D dv

A: Using chain rule.

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A:

Q: 6) Find ôz/ ôu and ôz/ôv if z = 5 tan (x) and x= e" +In v at the point (u,v)= (In 2,1) Ans. z, = 2,…

A: Given; z=5tan-1x ; x=eu+lnv And u,v=ln2,1 Now find point x. x=eu+lnv=eln2+ln1=2+0=2 As we know that,…

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A:

Q: 1. (Section 17.4) Use Green's Theorem to evaluate the line integral sir sin(y) dx + x dy, where C is…

A: Use Green theorem.

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A: Given:    Intergral is given

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A:

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A: To solve the given triple integral ∫0π∫04cosz∫016−y2ydxdydz…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Definite integration

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A:

Q: Which of the following is true? ® Ssin(3x)cos(4x)ax =S sih(7x)= sin(x) A 2 ® Jsin(4x)cos(3x)ax = […

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Q: (§5.4, Q42) Calculate So™ f(x) dx, where sin x, x T

A:

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A: Given, Cosx =x

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A: Note: As per the guidelines we are supposed to only one answer because this is not a subparts…

Q: Which of the following is true? @ Jcos(3x)cos(4x)dx= [ cos(x) + cos(7x) 2 BAll of the above ©…

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Q: 4. Using the definition of sech x ,x 0 in terms of e , prove that 1+V1-x2 sech x = In ,0<x <1 Hence,…

A: 4) i)

Q: 6) Find ôz/ôu and ôz/ôv if z = 5 tan (x) and x= e" +In v at the point (u,v)= (In 2,1) !! Ans. z, =…

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Q: Hw: Compute y(#/4) With 8-Y=8(siaxt cosx) in Find Ln Kngg kutta 2 4 order

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Q: 2. Find the temperature distribution inside a solid parallelepiped with sides (a, b, c) whose faces…

A: Here, uxx + uyy +uzz = 0                                  .......1 with conditions, ux,y,z,0 = A…

Q: If  f(x,y,z)=ln(x2y+sin2(x+y))+227x228y2z229,  then    ∂4f ∂x2∂y∂z at (1,1,1)  is equal to

A: See the attachment.

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A: Basic log formula are applied to solve the question.

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A:

Q: Which of the following is true? J sin(3x)sin(4x)dx = cos(x) – cos(7x) dx 2 ® Jsin(3x)cos(4x)dx = […

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Q: я/4 4 sin (4t) dt. 9- cos (4t) Evaluate the integral я/4 4 sin (4t) dt%3D 9- cos (4t)

A: Use integration by parts

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A: z=2 cos x-sin xy ; x=1t; y=5t   see z is a function of x and y ,where x and y are functions of t so…

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A: We need to solve the given integral. This can be done as follows:

Q: 36. Sin(xy) + cos(yz) = 1. Compute z and az at P = (2, п/12,4). дх ду

A: Let us consider the given function z=f(x,y) The partial derivative of the function is obtained as…

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A: First note the results derivative of log x is 1x and derivative of cos(x) is -sin(x). The proof of…

Q: Compute cos² x dæ. cos 2x +C 4 cos 2x +C 4 2 sin 2x +C 4 2 O cos cos x +C 3 +

A: Formulae:

Q: A Jsin(3x)cos(4x)dx = [ sin(7x) – sin(x). A dx 2 * cos(x) – cos(7x) ® Ssin(3x)sin(4x)dx= [co c) All…

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Q: ons z = sin y arn

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Q: 9 If f(0) = cos 0, cos 02 cos 03 ..... cos 0n %3D Show, {tan 01 + tan 02 + tan 03 + ... + tan 0,} =…

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Q: Evaluate the integral. sin (6t + 17) -dt CoS 2 (6t + 17) sin (6t + 17) dt%3D cos 2 (6t + 17)

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Q: 9. Evaluate ſ,(cos x – 1) dx. Tt/2 - π/2

A: topic - definite integral

Q: Differentiate: y = 8 tan(16z) O y = 512z' sin² (16z*) %3D O y = 512z cot²(16z*) %3D O y = 512z…

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Q: .2 Suppose that w = x² + y² – z2 And x = psin(4)cos(0), y = psin(4)sin(0), z = pcos(4) Use…

A: The Solution is given in next steps

Q: 1) LtZ be a solukion (5) of complese mumber then the sinh Z+ Coah z -e is Z=1?

A:

Q: 6. Vsin x sin 2xdx Vtan 4x 7. J cos² 4x 8. cos 2xsin 2.xdx |arctan(3 – x) - dx 9. 1+ (3-х)? 3e 2y…

A: Given