Let S denote the surface of the box [-2,3] x [-4,2] × [0,3], ori- ented outward, minus the disc that is parallel to the X-Y plane, has center (0, 0, 3), and has radius 1. (In other words, S is a box with a circular hole cut into the top.) Compute FdS, where x+yz² F(x, y, z)=(x³2-2y z+x
Let S denote the surface of the box [-2,3] x [-4,2] × [0,3], ori- ented outward, minus the disc that is parallel to the X-Y plane, has center (0, 0, 3), and has radius 1. (In other words, S is a box with a circular hole cut into the top.) Compute FdS, where x+yz² F(x, y, z)=(x³2-2y z+x
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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![16. Let S denote the surface of the box [-2,3] × [−4,2] × [0,3], ori-
ented outward, minus the disc that is parallel to the X-Y plane,
has center (0, 0, 3), and has radius 1. (In other words, S is a box
with a circular hole cut into the top.) Compute FdS, where
F(x, y, z) = (
x+yz²
x³z-2y
z+x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc158a850-76a9-4504-97b9-8593e0926539%2Fb5199d26-3277-4a20-84eb-31a0a8390268%2Fyyd2aab_processed.jpeg&w=3840&q=75)
Transcribed Image Text:16. Let S denote the surface of the box [-2,3] × [−4,2] × [0,3], ori-
ented outward, minus the disc that is parallel to the X-Y plane,
has center (0, 0, 3), and has radius 1. (In other words, S is a box
with a circular hole cut into the top.) Compute FdS, where
F(x, y, z) = (
x+yz²
x³z-2y
z+x
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