4. Evaluate the surface integral SF. F. dS for the vector field F(x, y, z) = xi + yj, where S is the surface with parametric representation r = r(u, v) = 2ui + (u + v)j + (1+u-v)k Give S the positive (outward) orientation. 0≤u≤1, 0≤v≤ 1.
4. Evaluate the surface integral SF. F. dS for the vector field F(x, y, z) = xi + yj, where S is the surface with parametric representation r = r(u, v) = 2ui + (u + v)j + (1+u-v)k Give S the positive (outward) orientation. 0≤u≤1, 0≤v≤ 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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![4. Evaluate the surface integral
SS
S
for the vector field F(x, y, z) = xi + yj, where S is the surface with parametric representation
r = r(u, v) = 2ui + (u + v)j + (1+u-v)k
F. ds
0 ≤u≤ 1, 0≤v≤ 1.
Give S the positive (outward) orientation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F870dc3ab-14e2-4db0-a27e-f14572a2035d%2Fb6f4a25e-e8cf-4070-a41d-2ae39ab52386%2Fk31fu55_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Evaluate the surface integral
SS
S
for the vector field F(x, y, z) = xi + yj, where S is the surface with parametric representation
r = r(u, v) = 2ui + (u + v)j + (1+u-v)k
F. ds
0 ≤u≤ 1, 0≤v≤ 1.
Give S the positive (outward) orientation.
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