Number 26 please. Calculus m Stokes\' Theorem... 252 calo... x Checkout pplicati
ID: 2879045 • Letter: N
Question
Number 26 please.
Calculus m Stokes' Theorem... 252 calo... x Checkout pplication Number 20 g Amazon.co. (no subject) Match 19 P www.daabz.com/mchoice.html?coursenidalb&TaskType; quiz&key; 13 e Search A Most visited 3 Getting started G James Luna is celebrati 3 Suggested sites web Gallery Avitus Net ellipse 75 sice E) 20m/3 F) none of these 26 Suppose F (r2 y2 22) (ri uj zk) and R is the region defined by r2 y2 22 s 25. A SELECT ALL APPLICABL 2500T B) 25600m/3 Find 3200m D) 1664 /6 V.FdV E) 12500 F) none of these Suppose F r cos (y)i zyj zsin' (y)k and s SELECT ALL APPLICABLE is the solid sphere r2 y t 22 9 oriented A) 1664T/6 B) 2 with outward normals, and suppose os refers to D) 256m/3 32 the boundary of S. Find F) one of these E) 36T F. ndsExplanation / Answer
given F=(x2+y2+z2)(xi +yj +zk)
F=(x3+xy2+xz2)i +(yx2+y3+yz2)j +(zx2+zy2+z3)k
.F=(3x2+y2+z2) +(x2+3y2+z2) +(x2+y2+3z2)
.F=5(x2+y2+z2)
R.F dV
=R5(x2+y2+z2) dV
in spherical coordinates
x=sincos,y=sinsin,z=cos
x2+y2+z2=2
x2+y2+z2<=25=52
==>0<=<=5
dV=2sin d d d
0<=<=2,0<=<=,0<=<=5
R5(x2+y2+z2) dV
= [0 to 2] [0 to ] [0 to 5] 52 2sin d d d
= [0 to 2] [0 to ] [0 to 5] 54sin d d d
= [0 to 2] [0 to ][0 to 5] 5sin d d
= [0 to 2] [0 to ] (55-05)sin d d
= [0 to 2] [0 to ] (3125)sin d d
= [0 to 2][0 to ] (3125)(-cos) d
= [0 to 2] (3125)(-cos +cos0) d
= [0 to 2] (3125)(2) d
= [0 to 2] (3125)(2)
=(3125)(2)(2-0)
=12500
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