16. Suppose f is a continuous and differentiable function on [1, 5]. If f(1)=2 ad f(5)=6, then which of the following statements is true?

a) f is positive on [1, 5].

b) f '(x) > 0 on [1, 5].

c) There is a number c, 1 < c < 5 with f '(c) = 1.

d) There is a number c, 1 < c < 5 with f '(c) = 0.

e) There is not enough information to make any of the above conclusions.

17. Let f(x) =

. How must f(2) be defined to remove the discontinuity?

a) 22

b) 0

c) 11

d) 2

e) none of these

18. Find the length of the graph of f(x) = from x = 4 to x = 12.

b) 10

c) 40

e) none of these

19. Find the derivative of the function f(x) = ln

. Simplify your answer.

e) none of these

20. Let f(x)=[x] be the greatest integer function. What is the limit as x approaches infinity of f(x)/x ?

a) 1

b) -1

c) x - 1

d) x + 1

e) none of these