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Number 28 please. Application Calculus Stokes\' Theorem... M: 252 Calc x VE Chec

ID: 2879047 • Letter: N

Question

Number 28 please.

Application Calculus Stokes' Theorem... M: 252 Calc x VE Checkout Number 20... www.daabz.com/mch enidalb&TaskType; quiz& 13 oice.htmI'coul B Most visited 3 Getting started G James Luna is celebrati... 3 suggested sites web slice Gallery Avitus Net E) 36mm F.ndS Jas 28 Suppose F 12yzi zy zj zyz2k and S is the box 0 z S 1,0 y 3,0 2 s 2, and s A) 108 suppose refers to the boundary of S. Find C) 27 (F). nds E) 216 G) none of these 29 Use Stokes's Theorem to evaluate the line integral A) 2 ydar zdy rdz E) 0 where C is the triangle with vertices (0,0, 1). F) none of these D) 2m F 32 none of these c Search SELECT ALL APPLICABLE CHOICES

Explanation / Answer

given F=x2yzi +xy2zj +xyz2k , 0<=x<=1,0<=y<=3,0<=z<=2

divF =2xyz+2xyz+2xyz

divF =6xyz

s F.ndS =EdivF dV

=[0 to 1][0 to 3][0 to 2]6xyz dz dy dx

=[0 to 1][0 to 3][0 to 2]3xyz2 dy dx

=[0 to 1][0 to 3]3xy(22 -02)dy dx

=[0 to 1][0 to 3]12xydy dx

=[0 to 1][0 to 3]6xy2 dx

=[0 to 1]6x(32 -02)dx

=[0 to 1]54x dx

=[0 to 1]27x2

=27(12-02)

=27