(a) Show that the path x(t) = (cost,sin t,sin 2t) lies on the surface z = 2x y. (b)
Chapter 7, Problem 13(choose chapter or problem)
(a) Show that the path x(t) = (cost,sin t,sin 2t) lies on the surface z = 2x y. (b) Evaluate C (y3 + cos x) dx + (sin y + z2 ) dy + x dz, where C is the closed curve parametrized and oriented by the path x in part (a).
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