Answer: 18.981 Answer: -2x sin(x2) # A spherical hot air balloon inflates at a # Se3x dx rate of 101 ft3/min. At what rate is the radius changing when the surface area is 20.2 ft2 ? [Note: V = #mr3 , SA = 4ur2] 8383 Answer: 25 64 Answer: y = -V2 sin x + 3 # Selected values for h(t) are shown in the # Find the particular solution, y = f (x), table. Let f (x) = So* h(t)dt. Find f' (4). to the differential equation dy _ cosx y given f(") = -1 and then find f () t N 4 h (t) 3 h'(t) 2 .5 Answer: -e3x + C Answer: 3.8 # Find the area enclosed by the graphs of # San sec20 de f (x) = 2 - x and g(x) = x2