(1 point) Use the Divergence Theorem to calculate the flux of the vector fields F, = -Szi + 5xk and F, = -5zi + (4y + 7)j + 5xk through the surface S given by the sphere of radius a centered at the origin with outwards orientation. Be sure that you are able to explain your answers geometrically. With W giving the interior of the sphere, dV = and dV =

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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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(1 point) Use the Divergence Theorem to calculate the flux of the vector fields F, = -Szi + 5xk and
F; = -5zi + (4y + 7j + 5xk through the surtace S given by the sphere of radius a centered at the origin with outwards
orientation. Be sure that you are able to explain your answers geometrically.
With W giving the interior of the sphere,
dV =
"f = yp. 4
and
dV =
Transcribed Image Text:(1 point) Use the Divergence Theorem to calculate the flux of the vector fields F, = -Szi + 5xk and F; = -5zi + (4y + 7j + 5xk through the surtace S given by the sphere of radius a centered at the origin with outwards orientation. Be sure that you are able to explain your answers geometrically. With W giving the interior of the sphere, dV = "f = yp. 4 and dV =
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