Question: Consider the function r(t) = (e cos 2t, et sin 2t, e) which parameterizes a curve C in R. (a) Find r'(t) and r(t).

Consider the function r(t) = (e cos 2t, et sin 2t, e)

Consider the function r(t) = (e cos 2t, et sin 2t, e) which parameterizes a curve C in R. (a) Find r'(t) and r"(t). (b) Give a parametric equation for the tangent line to the curve Cat t = 0. (c) Find the length of the curve C over 0 t 3m.

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