Please help me with the Calculus 3 problem below. Thank you so much! Evaluate the surface integralintegral f (x+y+z) dS where S is the part of a plane parametrized bySS : r(u, v) = (u + v, u − v, 1+2u+ v) for 0 ≤ u ≤ 2 and 0 ≤ v ≤ 1.

Answered: Image /qna-images/answer/7241ec36-50b0-480c-8ded-7e72ad50639e.jpg

Answered: ]] (x² (x+y+z) dS where S is the part…

]] (x² (x+y+z) dS where S is the part of a plane parametrized by S S : r(u, v) = (u+v, u− v, 1+2u + v) for 0 ≤ u ≤ 2 and 0 ≤ v ≤ 1. Evaluate the surface integral

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 2E

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Question

Please help me with the Calculus 3 problem below. Thank you so much!

Evaluate the surface integral
integral f (x+y+z) dS where S is the part of a plane parametrized by
S
S : r(u, v) = (u + v, u − v, 1+2u+ v) for 0 ≤ u ≤ 2 and 0 ≤ v ≤ 1.

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