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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) 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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Calculus
Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon
9th edition
131429248, 978-0131429246
