Given differentiable functions r(t), y(t) with r(t) > 0, y(t) = 0, consider a surface of revolution parametrized by X(t,0)= (z(t) cos 0,z(t) sin 0, y(t)). Consider the curve C = {(10 cos 0,10 sin 0, 36): 0 = [0,2]}. Compute the geodesic curvature (with respect to your chosen orientation) of C. You would need to first parametrize C by its are length parameter.

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