Question 8: Consider the two functions 21(x) = sinx, 22(3) 2 sinm, 0 g :r 3 1r. Let 5'1 be the surface obtained by spinning 21 around the z-axis (so that means that surface you get will have the same height as you spin it around the z axis.) Let 32 be the surface obtained by spinning Z2 around the zaxis. Let D be the region trapped between 5'1 and 5'2. Find the volume of D. Question 8b: Let g be a differentiable function of one variable. Let 2: = g(b/o), where a and b are input variables. Let T be the tangent plane at the input point (1.1, bl. Show that T goes through the origin