1. (02.02 MC) Let f be the function given by f(x) =Inx3 + x2. What is the value of f '(1)? (1 point) O 1 2.5 O 5 O 2 2. (02.02 MC) The function f whose graph is shown has f '(x) = 0 at which of the following values of x? (1 point) 5 A X -5 4 -3 -2 -1 0 1 2 3 4 5 0 and -2 0 only O -3, -1, and 1 O -2 only 3. (02.02 LC) At x = 2, the function f(x) = 2x+2 for x52 (2x2 -2 for x > 2 " is considered which of the following? (1 point) Neither continuous nor differentiable Continuous but not differentiable Differentiable but not continuous Both continuous and differentiable4. (02.02 LC) The number of gallons of gasoline in a truck's tank at time t is given by the twice-differentiable function S, where t is measured in minutes and 0 s t s 240. Estimate the rate at which the number of gallons of oil in the tank is changing at time t = 140 minutes. (1 point) t (minutes) 0 30 90 180 240 S(t) (gallons) 16 15 12 7 2 O 7 120 1 1 30 O l 5. (02.02 MC) If f(x)=x, which of the following statements about f are true? (1 point) I. f is continuous at 0. II. f is differentiable at 0. III. f(0) = 0. III only I, II, and III I only I and III only