Help with the following question. 7. Let S = {(x, y, z) : 0 ≤ x ≤ 1, 1 ≤ y ≤ 3, z = 3 - xy}. That is, S is the piece of the surfacez = 3 - xy that lies above the rectangle [0, 1] × [1,3].4] a) Circle the integral whose value would give the area of S:13liv][√−x−y+1 dy dz0 11 3[[√(3)² + (xy)² dy da01S:jjv[[√1 + x² + y² dy dx0 1b) Find the upward flux of the field F = (z,y², x) through S. That is, evaluatewhere n is the upward-oriented unit normal vector for S.JfF.SF.n dS,Y

Answered: Image /qna-images/answer/749b896e-0707-4193-b015-d0b47f0942e6.jpg

7. Let S = {(x, y, z): 0 ≤ x ≤ 1, 1 ≤ y ≤ 3, z = 3 - ry}. That is, S is the piece of the surface z = 3 - xy that lies above the rectangle [0, 1] x [1, 3]. a) Circle the integral whose value would give the area of S: 13 jj√(3)² + (ry)² dy dz 01 13 [/v 01 -x-y+1 dy dx S: I Z 13 HVITE [[√1 + x² + y² dy dr 0 1 b) Find the upward flux of the field F = (z,y², x) through S. That is, evaluate where n is the upward-oriented unit normal vector for S. [[F.n S F.ndS, Y

7. Let S = {(x, y, z): 0 ≤ x ≤ 1, 1 ≤ y ≤ 3, z = 3 - ry}. That is, S is the piece of the surface z = 3 - xy that lies above the rectangle [0, 1] x [1, 3]. a) Circle the integral whose value would give the area of S: 13 jj√(3)² + (ry)² dy dz 01 13 [/v 01 -x-y+1 dy dx S: I Z 13 HVITE [[√1 + x² + y² dy dr 0 1 b) Find the upward flux of the field F = (z,y², x) through S. That is, evaluate where n is the upward-oriented unit normal vector for S. [[F.n S F.ndS, Y

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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