Let F = ( ) 5x* + 16z, 2x³ + 3y² + 16z, x + y + eVz³+1 and C be the curve defined by 7(t) = (2 cos(t), 2 sin(t), 16 cos²(t) sin²(t)) for 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I need help with the calculus question below. Please show all work. Thanks!

(5x*
Sx4
+ 16z, 2x + 3y² + 16z, x + y + eVz³+1
Let F :
and C be the curve defined by 7(t) = (2 cos(t), 2 sin(t), 16 cos2(t) sin²(t)) for 0 <t < n
Use Stokes' theorem to evaluate
F· dr
Transcribed Image Text:(5x* Sx4 + 16z, 2x + 3y² + 16z, x + y + eVz³+1 Let F : and C be the curve defined by 7(t) = (2 cos(t), 2 sin(t), 16 cos2(t) sin²(t)) for 0 <t < n Use Stokes' theorem to evaluate F· dr
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