all parts please PART II 7) (8 pts) Given the polar equation r = 6 sin θ, 0 θ π a) Graph and find the length of the graph geometrically. b) Find the length of the graph by integrating. 8.) (9 p...
Find the area of the surface generated by revolving the equation r-2+2cos(0) about the polar axis. Find the length of the curve r 6; from 8-0 to θ Find the area of the surface generated by revolving the equation r-2+2cos(0) about the polar axis. Find the length of the curve r 6; from 8-0 to θ
2, (20 pts) Consider the polar curve r-2 + cos48 for 0 θ 2n (a) Graph this curve and determine the points farthest from the origin. What values of 8 give these points? (b) Determine the points closest to the origin, what values of θ give these points? (c) Find the area bounded by this polar curve. (d) Find the length of this polar curve. 2, (20 pts) Consider the polar curve r-2 + cos48 for 0 θ 2n (a)...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...