Question 9 The slope of the tangent to the curve 32 + y3 = 12 at the point when .1: = 2 is (a) 2J3 (h) +2/3 (c) U3 {d} 1 {e} none of these Question 10 Let h be differentiable at 4 and su pose that h 4 = wl,h' 4 = 1. Let a: = 32!: .132 for all 3. Then 1:: N2} = (a) 0 (h) 12 (c) 12 {cl} 4 (e) none of these Question 11 Let 9(a) = vi, a = 1,!) = 4. A value of e that satises the conclusions in the mean value theorem is (a) 9/4 (h) #9 {c} 3/2 {d} 2X3 (e) none of these 3 Question 12 Suppose that k is a real constant such that all the tangents to the curve 3,: = ln(a:2 + 1} + k3: have negative slopes. Which of the following must always be true? (a) I: S 2 (b) k 1 {d} lkl 6. 1 {e} none of these