Problem 3. Let C be the polar curve given by r = 3 + cos0, 0

Problem 3. Let C be the polar curve given by r = 3 + cos9, 0 < 0 < T. a. Sketch the curve (in the xy-coordinate plane). b. Indicate with an arrow the direction in which the curve is traced as O increases. c. Without eliminating parameter 0 (that is, without presenting C as y = y(x)), find the tangent line to C at the point (x, y) = (O, 3). You final answer should not involve a parameter (that is, the tangent line must be written as equation involving x, y only).