QUESTION 11 Function f(x) is defined on interval (1, +co). Further, /(2)=1 and f'(x) = (x -1) 2. Using the linear approximation of f (x) about x=2, f(4) = CA 3 OB. 2 Oco OD.1 2 QUESTION 12 The demand for a good at price P is given by Q = a + pl-b where Q is quantity demanded, b > 1, and a > 0. The price elasticity of demand at price ? = 1 equals DA (1+b)/(1-a) OB. (1-b)/(1+0) OF (1-a)/(1+b) OD. 1-b 2 0o2 p QUESTION 13 Consider implicit function y3 + x y + 6 =0. The derivative dy/dx = OA 2xy 3y2 + .x2 OB. 2 xy 3y2 + x2 2xy CD. 312+x 2xy 2 point QUESTION 14 The function y = x - 12.x + 1 has a local minimum value at point DAX =-2 OB x = 2 Ocx = -4 ODY = 4 2 pointsQUESTION 9 Suppose function h(x) = > defined on interval (1, too) is increasing as x increases. This information implies that OA 0 =0 QUESTION 10 The derivative of function ((x) is f(x). The derivative of function y = x. [ f(x) ] is dwax = OA fox) [f' (x)+ 2x] OB. f(x) [f ( x) + 2xf'(x)] of fox fox + 2 xf' (x)] OD. 1+2f(x)