(42ª + 3y² + 2z)dV B = {(z, y, 2) | 0 < I < 10, 0 < y < 8,0

Q: Parameterize the intersection of z = - Vx² + 7y² _and x² + y? + z? = 200

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Q: F(x, y,z)= (4xyz) î + (-2xz+2yz) ĵ -3y² z k , find VxF

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Q: エ+1 dx (7² +2x)

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Q: 7x-2 b) xp: 3x-1

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Q: Evaluate (423 + 3y? + 2z)dV B = {(x, y, z) | 0 < æ < 3,0 < y < 2,0 < z< 2} .

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Q: Evaluate |[[p(4z + 3y² + 2x)dV = {(x, y, z) | 0<x < 2,0 sys 2, 0 s z < 1} .

A: We have to evaluate the triple integral given below: ∭B4z3+3y2+2xdV  Here, the region B in three…

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: Find 4rye®y? dA, where R [0, 1] × [0, 2]. R

A: The objective is to find the double integration where  R=[0,1]×[0,2]

Q: Find curl (9z i + 10x j + 5y k). curl (9z i + 10x j + 5y k) = ( i )i + ( i j + ( i

A: Curl

Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

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Q: Find curl (7z i + 8xj+2y k). curi (7z i+ &x j+ 2y k) = (1 i+( j +( )k

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Q: f(x,y) = 40x+ + 72x³y+ 85XU fur eblidl w jall dissui %3D -226x2 A O -226 BO 216x2 CO

A: To find fyx = ?   Given : f(x,y) = 40x4 + 72x3y + 85x

Q: Find x²dA where R R = } {(x, y) | 4x² + 16y? < 64

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Q: If X = U+v , y =U-V then Show that + 2 du? = 2) ( %3D nene Than ded uce that wok cu+ v*+ (u+v) g…

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Q: What is the domain of h(x, y) = Vx - y?

A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

Q: 3) 2 y dx + (x - x³y²³) dy

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

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Q: What are the foci of(x/a)2+(y/b)2 = 1 if a&lt;b?

A: We have the following given ellipse -  xa2 + yb2 = 1   where a&lt;b

Q: 8. (2D3 – D² + 36D – 18)y = 0; when x = 0, y = 0, y' = 2, y" = 4 %3D %3D

A: Solution

Q: (y + 4)(y² + 8y}Vy² + 8y – 1 dy

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Q: Q4\ If A(x,y, z) = 3x²i + 3zj – 3xk find the Div (Grad A). %3D |

A: Explanation of the answer is as follows

Q: Find the value. 11) If F(x, y) = -9x+4y, find Fx(-4,-9) and Fy(-4,-4), xy A) Ex(-4,-9) = 1,…

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Q: Find curl (4z i + 5x j+ 2y k).

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