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Consider the surface that can be parameterized as ru, v) = u y (u, v) = cos u Cos U 2 (u, v) = cosusin

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Consider the surface that can be parameterized as ru, v) = u y (u, v) = cos u Cos U 2 (u, v) = cosusin v for u, v E [0, 21). (a) Let x = u and x2 = v. Find the line element for the surface. (b) What is the metric tensor and the dual metric tensor? (c) Determine the values of all the Christoffel coefficients of the surface

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