Question: Let F = 2 yzi + ( - x + 5 y + 4 ) j + ( x 2 + z ) k .

Let F=2yzi+(-x+5y+4)j+(x2+z)k.
Evaluate S(gradF)*dS, where Sis the curved side of a cylinder, without the top and bottom, given byx2+y2=a2 and
0z1.
(Givean exact answer. Use symbolic notation and fractions where needed.)
Let F = 2 yzi + ( - x + 5 y + 4 ) j + ( x 2 + z )

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