Question

In: Math

evaluate C (y + 4 sin x) dx + (z2 + 8 cos y) dy +...

evaluate

C

(y + 4 sin x) dx + (z2 + 8 cos y) dy + x3dz

where C is the curve

r(t) =

sin t, cos t, sin 2t

, 0 ≤ t ≤ 2π.

(Hint: Observe that C lies on the surface z = 2xy.)

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