Let H = (exy+7z+5)+10] + (7z + exy)k. S is the square of side 4 on the plane z = x oriented downward. Z (a) Find dA = i-k )dx dy (b) Set up and find the flux of H through S. | H· A = 4 0 4√2 dx dy

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.16P: What surface is represented by r a = const, that is described if a is a vector of constant...
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Let H =
(exy+7z+5)+10] + (7z + exy)k. S is the square of side 4 on the plane z = x oriented downward.
Z
(a) Find dA = i-k
)dx dy
(b) Set up and find the flux of H through S.
| H· A =
4
0
4√2
dx dy
Transcribed Image Text:Let H = (exy+7z+5)+10] + (7z + exy)k. S is the square of side 4 on the plane z = x oriented downward. Z (a) Find dA = i-k )dx dy (b) Set up and find the flux of H through S. | H· A = 4 0 4√2 dx dy
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