(7) Evaluate the following surface integrals(b) ff 2x²zdS where S is the surfacex=u+v, y=v², z = 2uvover the rectangle 0≤ u ≤ 1,0 ≤v≤2

here we will use surface integral formula ∫∫S f(x,y ,z dS =∫∫Dfru,v ru×rvdA

Answered: (7) Evaluate the following surface…

(7) Evaluate the following surface integrals (b) ff 2x²zdS where S is the surface x=u+v₁y=v², z = 2uv over the rectangle 0≤ u≤ 1,0 ≤v≤2

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...

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Question

(7) Evaluate the following surface integrals
(b) ff 2x²zdS where S is the surface
x=u+v, y=v², z = 2uv
over the rectangle 0≤ u ≤ 1,0 ≤v≤2

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