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1. Let C be the curve of intersection of the paraboloid x2 + y2 = z and the cylinder 3% + (y 1)2 = 1.

1. Let C be the curve of intersection of the paraboloid x2 + y2 = z and the cylinder 3% + (y 1)2 = 1. (8.) Determine the vector-valued function 135 for C. (b) Find a vector equation of the tangent line to C at t = 0. (0) Evaluate (Ii x ')'(0)

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