Consider the vector fieldCompute the surface integral-F(x, y, z) = (2x²y, xz², 4yz).29=11₁₁Is- 11. Fwhere S is the surface of the rectangular box bounded by the planes x = 0, x = 1,3, and where the normal vector n points towards they = 0, y2 = 0, zexterior of the box.F.dS =F.n dS

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Answered: Consider the vector field F(x, y, z) =…

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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Consider the vector field F(x, y, z) = (2x²y, xz², 4yz). Compute the surface integral JS, F F.dS = ·SS,F •nds where S is the surface of the rectangular box bounded by the planes x = 0, x = 1, 2, z = 0, z = 3, and where the normal vector n points towards the = y = 0, y exterior of the box.