Find the flux of the vector field F across the surface S in the indicated direction. F = x 3y 2 i + y j - z k; S is the portion of the parabolic cylinder z = 1 - y 2 for which z>or equal to 0 and 3 ≤ x ≤ 7; direction is outward (away from the x-y plane) a)8 b)4 c)0 d)-8

Find the flux of the vector field F across the surface S in the indicated direction. F = x 3y 2 i + y j - z k; S is the portion of the parabolic cylinder z = 1 - y 2 for which z>or equal to 0 and 3 ≤ x ≤ 7; direction is outward (away from the x-y plane) a)8 b)4 c)0 d)-8

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

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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Question

Find the flux of the vector field F across the surface S in the indicated direction.

F = x ³y ² i + y j - z k; S is the portion of the parabolic cylinder z = 1 - y ² for which z>or equal to 0 and 3 ≤ x ≤ 7; direction is outward (away from the x-y plane)

a)8

b)4

c)0

d)-8

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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