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
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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