Express the integral |// f(x, y, z)dV as an iterated integral in six different ways, where E is the solid E bounded by z = 0, z = 8y and æ? 1- y. pb r92(x) ch2(x,y) 1. I I f(2, V, 2)dzdydæ 91(x) Jh1(x,y) a = b = = (x)16 h1 (x, y) = 92(x) = h2(x, y) = pb r92(y) ch2(x,y) 2. 91(y) Uh(x,y) a = b = 91(y) = 92(y) = |3| h1(x, y) = h2(x, y) =

Q: (E) Every integral | f dA where R is a rectangle in the xy-plane can be F AiS E R d b expressed as…

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Q: Show that the form under the integral sign is exact in the plane and r(2,2) -æ²-y° (x dx + y dy). e…

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Q: f(x, y, z) = z(x² + y² + z²)-3/2 over the part of the ball x² + y² + z² 2.5

A: Here we will use cylindrical co ordinate system to find value of integral  By using above figure…

Q: 1-r-y C * (r* + y° +:')}dzdydx 14

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Q: Calculate the line integral of F(x, y, z) = (e², e, e) over the path from P = (0,0,0) to Q = (-6, 6,…

A: We have to calculate the line integral of F(x, y, z) = (ez , ex-y , ey) over the path from P =…

Q: Integrate G(x,y,z)=z-x over the portion of the graph of z=x+3y² that lies above the triangle in the…

A: Given that G  x, y, z  = z - x              The portion of the graph a curve z = x + 3y2 above…

Q: Calculate the line integral of F(x, y, z) = (e², ex-, e") over the path from P = (0, 0, 0) to Q =…

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Q: Let R be the trapezoid with vertices (1,-1), (3,3), (3,-3) and (9,9). Give a change of variables to…

A: Given that ,  R be the trapezoid with vertices (1,-1) , (3,3) ,(3,-3) and (9,9) . Let , the vertices…

Q: F(x, y, z) = (2xe*) i+ (2y + 3y?22)j+ (x²e* + 2y³z) k is conservative. Find a functionf such that F…

A: To find the function f  And then evaluate the line integral along the given curve.

Q: Evaluate the triple integral of f(x, y, z) = z(x² + y² + z²)-3/2 over the part of the ball æ? + y² +…

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Q: Calculate the line integral of F(x, y, z) = (e², ex-y, e) over the closed path ABCA, where A =…

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