Consider the function r(t) = (e cos 2t, et sin 2t, e) which parameterizes a curve...

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Consider the function r(t) = (e cos 2t, et sin 2t, e) which parameterizes a curve C in R³. (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. Consider the function r(t) = (e cos 2t, et sin 2t, e) which parameterizes a curve C in R³. (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.