properties: Suppose you set up a tent on a a windy beach with the following .The sides of the tent are given by the planes x = 0, x = 6, y = 0 and y = 8. . The bottom is in the xy-plane. . The top is given by the plane z = = 8 - (x+y). Suppose the force of the wind is given by the vector field F(x, y, z) = (4x, -y+z, x+z). Set up two different integrals that give the total amount of force of the wind against the tent: a double integral (or multiple double integrals), and a triple integral. This includes any surface parameterizations you may need. Then, compute the integral either way. No need to compute it twice. Note: the tent is a mosquito-net tent so there is still wind inside as well.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
100%
Please solve and explain this multi variable calculus problem. Thank you.
properties:
pts Suppose you set up a tent on a a windy beach with the following
The sides of the tent are given by the planes x=0, x= 6, y = 0 and y = 8.
. The bottom is in the xy-plane.
. The top is given by the plane z = 8- - (x+y).
Suppose the force of the wind is given by the vector field F(x, y, z) = (4x, -y+z,x+z).
Set up two different integrals that give the total amount of force of the wind against the
tent: a double integral (or multiple double integrals), and a triple integral. This includes
any surface parameterizations you may need. Then, compute the integral either way. No
need to compute it twice. Note: the tent is a mosquito-net tent so there is still wind inside
as well.
Transcribed Image Text:properties: pts Suppose you set up a tent on a a windy beach with the following The sides of the tent are given by the planes x=0, x= 6, y = 0 and y = 8. . The bottom is in the xy-plane. . The top is given by the plane z = 8- - (x+y). Suppose the force of the wind is given by the vector field F(x, y, z) = (4x, -y+z,x+z). Set up two different integrals that give the total amount of force of the wind against the tent: a double integral (or multiple double integrals), and a triple integral. This includes any surface parameterizations you may need. Then, compute the integral either way. No need to compute it twice. Note: the tent is a mosquito-net tent so there is still wind inside as well.
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