Shift Ctrl 8. Which of the following is NOT an indeterminate form? sin(z-1) In()(e) lim In(z) 9. The Mean Value Theorem says that if f(x) is a continuous and smooth function on the interval from (a, , then. (a) he average rate of change over the interval [a is equal to the instantaneous rate of change at some instant in [a . (b) f(z) has an unkind or spiteful value somewhere in the interval [a, b. (c) f(z) has both an absolute minimum and an absolute maximum on the interval la, b (d) f(z) has a horizontal tangent line somewhere in the interval (a,b (e) None of these 10. Suppose that f(z) is continuous and differentiable on the interval [-3,5) and that f(-3) 10 and f(5) -6 The Mean Value Theorem then implies that (a) f(-3) is an absolute max value of f(z) on [-3,5]. (b) y = f(z) has an z-intercept betweenェ--3 and z = 5. (e) f(z) has a horizontal asymptote at y = 0 or y =-6 (d) f(z) has a horizontal tangent line between z =-3 and z = 5. (e) graph y = /(z) has a tangent line with slope-2 between z =-3 and z = 5. 11. The Mean Value Theorem says that on the interval 2.3 the function f(z) = -3 we must have a number t with z 2Sts3 such that... (a) f"(t) = 61n(2)-3 (b) f,(t)s-1 (c) f'(t)=0 (d) f'(t) =-3 (e) None of these 12) If Fre) is the antiderivative of f(x-6x2-3 sin(r) such that FIO) = 5 then F(z) = u