HW 22: Area & Arclength Using Polar Equations Due: 2/20/17 1) Find the area of one petal of r = 8 cos(30). 2) Find the area of the interior of r = 8+2 sin(0). 3) Find the area of the inner loop of r = 1+2 sin(0). 4) Find the area of the region lying between the loops of r = 3 +6 cos(0). 5) Find all points of intersection of the graphs of the equations. r = 1 + sin(0) r = 3 sin(0) 6) Find the points of intersection of the graphs of the equations 7) Find the area inside r = 74 cos(0) and outside r = 37. 8) Find the length of the curve over the given interval. r = 20 cos(0),- 9) Find the length of the curve over the given interval. r=5(1+ cos(0)), 0 ≤0≤2 = 18 sin(20), r = 9. 10) Find the area of the surface formed by revolving about the polar axis the following curve over the given interval. r = 4 cos(0), 0 ≤0≤ 11) You were given the formula for the arclength of a polar curve during your lecture. Use the formula for the arclength of a curve in parametric form to derive the formula for the arclength of a polar curve. Page 1