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.)

Pls do fast within 5 minutes and i will give like for sure Solution MUST BE IN TYPED FORM 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.)