(a) Set up a double integral for calculating the flux of the vector field F(x, y, z) = xi+yj through the open-ended circular cylinder of radius 4 and height 7 with its base on the xy-plane and centered about the positive z-axis, oriented away from the z-axis. If necessary, enter as theta. Flux = A = B = C = - STO D= (b) Evaluate the integral. Flux = F-dA= dz de

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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(a) Set up a double integral for calculating the flux of the vector field F(x, y, z) = xi+yj through the open-ended circular cylinder of radius 4 and height 7 with its base on
the xy-plane and centered about the positive z-axis, oriented away from the z-axis. If necessary, enter as theta.
Flux =
A =
B =
- IT²
C =
D=
(b) Evaluate the integral.
Flux =
[fF.d
F.dA=
dz de
Transcribed Image Text:(a) Set up a double integral for calculating the flux of the vector field F(x, y, z) = xi+yj through the open-ended circular cylinder of radius 4 and height 7 with its base on the xy-plane and centered about the positive z-axis, oriented away from the z-axis. If necessary, enter as theta. Flux = A = B = - IT² C = D= (b) Evaluate the integral. Flux = [fF.d F.dA= dz de
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