Consider the parametric curve [10pts] x = 2cost, y = 1+ 3sint, Ostsx (a) Find the value(s) of t between 0 and 7 where the tangent line to the curve is horizontal. (b) Sketch the curve. Please label all r and y intercepts, if any, and indicate the direction in which the curve is being traversed. (c) Set up, but do not evaluate, an integral to find the arc length of the curve. Consider the polar curve r = sin 40. [10pts] (a) Draw the plot of the curve. (b) Compute the area enclosed inside a single loop of the curve. (c) What is the total area enclosed in the curve