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5. Let C be the curve determined by(t) = (2t, et, e-t), t = [0, 1]. (a) Verify that C is smooth. (b) Verify

5. Let C be the curve determined by(t) = (2t, et, e-t), t = [0, 1]. (a) Verify that C is smooth. (b) Verify that the curve does not retrace itself. (c) Calculate the length of C.

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