13. Which of the following about a function is impossible? a. That the function is continuous and differentiable. b. That the function is continuous and not differentiable. C. That the function is discontinuous and differentiable. d. That the function is neither continuous nor differentiable. 14. The capacity of a cylindrical watermain, as measured by the watermain's interior volume, is given by V = lar- where I and r are the length and radius, respectively, of the interior of the watermain. The relative rate of change of capacity with respect to the radius is: a. 2/r b. 1/2ar c. 1/12 d. V/172 15. If h(x) = f(g(x)) such that f'(z)g'(x)/f(z) = c for some constant c # 0 when z = g(x), then: a. h(x) = ex/c b. h(x) = ex c. h(x) = ex-c d. h(x) = ex+c 16. If h(x) = f(g(x)) such that f'(z)g'(x)x = c for some constant c # 0 when x # 0 and z = g (x), then: a. h(x) = Inlx + cl b. h(x) = In|x/c| c. h(x) = In|ex| d. h(x) = Inlx-| 17. Which of the following is not the elasticity of y = f(x) with respect to x? Inx l. diny b. y- d Inx dx C. ydy x dx d. 18. If f(x) = In(x + vx- + 1 ), then: 1 a. f'(x) = 13 b. f' (x) = 7 c. f'(x) = x+vx-+1 d. f'(x) = xtvx-+1