a) Find a parametrization for the intersection of the cylinder y^2 + z^2 = 1 and the plane z = x. b) Evaluate the path integral ∫ cf(x,y,z) ds where f(x,y,z) = x + y + z and c(t) = (sin(t), cos(t), t), t ∈ [0, 2π].
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The parametrization of the intersection of the cylinder and the plane z = x is y(x,x) = z(x,0). Show more…
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