I I (3z + 5y)°dzdy Find

Q: fx) D, f(쪽) -1, and f(플) %=D1, and COSX 3 f) = -1. Find S f(x) dx. %3D

A: Given that  f'x=cosxx, fπ2=-1 and f3π2=1find ∫π23π2fxdx

Q: Find curl (5z i + 6x j + 9y k). curl(5z i + 6x j + 9y k) = ( i )i + ( i )j + ( i )k

A: Given: To obtain the curl (5z i+6x j+9y k)That is to find: ∇×Fwhere here F=5z i+6x j+9y k

Q: Find curl (3z i + 4x j + 9y k). curl (3z i + 4x j + 9y k) = ( i )i + ( i

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Q: dA, R = {(x, y) : 0 < y< 1,0 < x < 2VI} xe

A: As per the question, we will be evaluating the integral ∫01 ∫02y xe-y2dx dy. So,…

Q: g(x, y) = x- y2 + V3sec-1 (2xy), Po (1, 1), A = 12 i + 5j

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Q: (i): f(x) = 6xsin 5x, – n<x < t. %3D

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Q: I| (2 + x²y)dA, R = [0, 1] × [–1, 1]

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Q: Find curl (2z i + 3x j + 6y k). curl(2z 2z i + 3x j+ 6y k) = ( i )i + ( i j + ( i )k

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Q: Find curl (5z i + 6x j + 3y k). curl (5z i + 6x j + 3y k) = ( i )i + ( i i )k

A:

Q: Find curl (2z i + 3x j + 5y k). curl (2z i + 3x j + 5y k) (i )i + ( i j+ ( i )k

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Q: csc² r rp: Vcot I h sec r sin r dr

A: Integrals can be solved using substitution to simplify the integral into know standard forms.

Q: z dz In order to evaluate JA2 – 9 we use the substitution sec e I= 3 sec 0 9. I= -sec 0 4. I= sec 0

A: Indefinite integral by substitution method

Q: Find curl (4zi+ 5xj+8yk). curl(4zi+ 5xj+ 8y k) = ( i )i + ( i )j+( i %3D

A: As we know that; The expression for the curl of the vector point function F→=F1i+F2j+F3k is; curl…

Q: gx-Qy-15 use foilmetho&

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Q: Find curl(4z i+ 5x j + 7y k). curl(4z i + 5x j + 7y k) = ( i )i + ( i )j + ( i )k

A: Topic- Curl of a vector

Q: (r) = -2Jp(x) + J,-1(x) = 2Jp(x) – Jp+1(4). %3D

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Q: Find curl(2z + 3x j + 6y k). curl(2z i+ 3xj+ 6y k) = (i )i + (i )j + ( i )k

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Q: y' = xy; when x=3, y=1 %3D

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Q: 1. f(x, y) = 192x³ + y² – 4xy2 on the triangle with vertices (0,0), (4,2) and – 2,2). %3D

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Find curl(7z i+ 8x j + 5y k). curl(7z i+ 8x j+ 5y k) = (i )i + ( i )j +( i )k

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Q: Find curl (3z i+ 4x j+ 5y k). curl(3z i+ 4x j + 5y k) = ( i )i + (i )j+( i )k

A:

Q: Find curl (3z i+ 4xj+9yk). curl(3zi+ 4xj+ 9yk) = ( i )i + ( i j+( i %3D

A: We have to find the curl of the given vector.

Q: Y1 (t) = 2t – 3, y2(t) = t² + 1, y3 = 2t² – t, y4 = t² +t +1 %3D

A: We will find out the required solution.

Q: Q.2 Find DivF and curlF at point (1,2) , where f(x, y) = xy² + Inxy

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Q: x(t) = (e-tcos2t – 5e-24)u(t) +,e²tu(-t) %3D 2

A: Given: xt=e-t cos 2t -5e-2tut+π2e2tu-t

Q: W= 4i-j v=-2i• bj U= 3i+4j

A: Since, we have been given w=4i-j, v=-2i+6j and u=3i+4jOur Aim is to calculate v(u.w)=?

Q: (a)2t – 2 + (y')? + 2ty'y" = 0, y(1) = -÷, y'(1) = 1 %3D %3D

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Q: Find curl (5z i + 6x j + 2y k). curl (5z i + 6x j+ 2y k) = ( i )i + ( i )j + ( i )k Save for Later

A:

Q: (a) Evaluate APA: – 6) R where R is the solid hemisphere r² + y² + :² – 2r + 4y = 4, : 0.

A: We want to evaluate  ∫∫∫R9-z2dV where R is the solid hemisphere x2+y2+z2-2x+4y=4, z≥0 We can write…

Q: Find curl (3z i + 4x j + 6y k). curl (3z i + 4x j + 6y k) = ( i )i + ( i )j + ( i )k

A:

Q: Find curl (5z i+ 6x j+ 8y k). curl (5z i+ 6x j+ 8y k) = ( )i + (i Oj + ( i Ok

A: Given that,    curl5z i+6x j+8y k The formula for curl is ∇×F→=i^j^k^∂∂x∂∂y∂∂zABC

Q: Find curl(6z i + 7x j+ 6y k). curl(6z i+ 7x j+ 6y k) = ( i )i + ( i )j +(i )k

A:

Q: B) Find real numbers x, y, z for the identity below 2xi + 2yj- 2i + 3j + 2k = 3i -j+ zk

A: (2x-2)i+(2y+3)j+2k=3i-j+zk On comparing both sides

Q: Y; = pY;-1 (Y1, Y2, Y3)™. What ar

A: suppose that ε is N3(0,σ2I3) and Y0~N(0,σ20), independently from εi where i=1,2,3…

Q: hnd the absolut max and min funcion fx,y)=(48x-lax²)cos L ón the rectangular Plate 1と×-3,-sys IT 4…

A: Absolute maximum and minimum: - Assume that f(x) is defined on interval I. 1. IfxM∈I and  f(x)≤f(xM)…

Q: %3D b)ë + 4x = t,x(0) = 1,x(0) = 0 %3D

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Q: Buien : 0 =y2 + xy A = yi t2j +(421x) k %3D %3D

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: he speciat 50 the equatio ho B/yo) =y =1- %3D %3D 2. %3D

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Q: If z = x + y, x = 2t, y = 3t, then %3D %3D 1 5 II

A: Recall:    If f(t) and g(t) are two function of 't' and h(t)=f(t)+g(t) then…

Q: ||xVx+2y dA, where R = y): 0sxs2, 2sys1-x use x = 2u, y=v-u R

A: Changing variable of integration from x,y to u,v and then integrating using beta function

Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is:

Q: Find curl (3z i + 4x j + 7y k). curl(3z i + 4x j + 7y k) = i Di + ( Dj + ( i )k

A:

Q: d²v of cot w = 3v + 2w dw² Find %3D

A: Consider the equation cot w=3v+2w To find the derivative dvdw, differentiate the given equation…

Q: lim (2,y)→(1,1) 2a2 – ry – y? 2² – y?

A: Evaluate the limit

Q: Find curl (9z i+ 10xj+ 2y k). curl (9z i+ 10x j + 2y k) = ( i Di + ( i j+ ( i )k

A: We have to find the curl

Q: Find curl (7z i + 8xj+ 6y k). curl (7z i + 8x j + 6y k) = ( Di + ( j+ ( )k

A: We have to find curl7z i +8x j+ 6y k Now,  curlP i +Q j+R k=ijk∂∂x∂∂y∂∂zPQR

Q: a = i+ 2j – 2k, b 2i+ b. с ngle between a and c.

A: To evaluate the given vectors.

Q: et2-2 2.2 R dxdy, where R between x2 = -y, y = 0 and x = -3 , y = -9 %3D

A:

Q: f VW = 4z - 88 and UX = z, what is VW? %3D %3D Y W

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Q: COs r dr. (2² + 4)(x² + 1) Evaluate P.V.

A: Consider the given integral which is required to calculate.