November 30, 206 Math 114, Exam 3 2. (Spoint.) Let R be the region bounded by the curves: z#AV-1. and y- r is (a) Find the area of the region R clud eulate b) Find the volume of the solid obtaised by rotating the region R around the horisontal line v ained been 3. (6 points) The demand curve for umbrellas is given by p20-/10, where g is the number of umbrellas sold when the price is p dollars per umbrella. The market price for umbrellas is 810 per umbrella s a lim ts, we (a) At the market prioe, how many umbrellas are sold? to ze (b) If the price were ralsed to $12 per umbrella, bow many usbrellas would be sold? (c) At the market price, what is the consumer surplus?