(a)P(9,0)(b)P(0,-7)(c)P(5√3,-5)(d)P(-4,4)(e)P(-6√2,-6√2)(f)P(2,2√3)14. Sketch the graph of the given polar equation.(a)r= 2 sin 3θ(b)r= 2-4 cosθ(c)r= 2 + sinθ
15. Convert the given equation from polar to cartesian coordinates.What is the graph of theequation (name the curve)?
16. Convert the given equation from cartesian to polar coordinates.
17. Find the area enclosed by the curver= 8 sin 4θfromθ= 0 toθ=π4.18. Find the area enclosed by the curver= 8(1 + sin 2θ) fromθ=-π4toθ=3π4.19. Find the area enclosed by the closed curver= 2-2 cosθ.20. Find the area of the region lying outside the circler= 2 but inside the circler= 4 sinθ.21. Find the area of the region lying outside the curver= 2+sinθbut inside the curver= 5 sinθ.22. Find the area of the region that lies outside the curver= 2 sin 2θbut inside the curver= 3.(See the graph.)