Problem EL – A3. Compute the flux of the vector field F(x, y, z) = (x³, y³, 2³) over the surface given by the paraboloid z = 4 – x2 – y² and the xy – plane.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please solve El A-2 and A-3

Problem EL – A3.
Compute the flux of the vector field F(x, y, z) = (x³, y³, z³) over the surface given by the paraboloid z = 4 – x2 – y?
and the xy – plane.
Problem EL – 44.
Use Stokes' Theorem to evaluate integral:
V × F.ndS,
S
where F = (e² , 4z – y, 8xsin y) and where S is the portion of the hemisphere z =
V4-
- x² – y².
Transcribed Image Text:Problem EL – A3. Compute the flux of the vector field F(x, y, z) = (x³, y³, z³) over the surface given by the paraboloid z = 4 – x2 – y? and the xy – plane. Problem EL – 44. Use Stokes' Theorem to evaluate integral: V × F.ndS, S where F = (e² , 4z – y, 8xsin y) and where S is the portion of the hemisphere z = V4- - x² – y².
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