Mathematics, 31.12.2019 07:31 lizbethreyes5725
Evaluate c (y + 5 sin x) dx + (z2 + 2 cos y) dy + x3 dz 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.) c f · dr =
Answers: 2
![$\int_{0}^{2\pi} [{(cos^{2} t+5costsin(sint)} \, -(sintsin^{2}2t+2sintcos(cost) )+2sin^{3}t(cos2t)]dt\\](/tpl/images/0438/1642/f0f9a.png)
![=\frac{1}{2}[t+\frac{1}{2}sin2t] =\frac{1}{2}2\pi=\pi](/tpl/images/0438/1642/afb09.png)
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Evaluate c (y + 5 sin x) dx + (z2 + 2 cos y) dy + x3 dz where c is the curve r(t) = sin t, cos t, si...
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