Let k be the number of letters in your first name and consider the curve given by r=k+2ksin⁡(3θ) . k=4 a) Determine the slope of the tangent line to the graph at θ=π /6 . b) Find the area between a large loop and the enclosed small loop of the curve. c) Set up the integral that gives the arc length for this curve. (Don't try to integrate.)

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