2 points QUESTION 11 Function f(x) is defined on interval (1, +oo). Further, f(2)=1 and f' (x) = (x -1)-2. Using the linear approximation of f (x) about x=2, f (3) ~ _ O A. 1 OB. O O C . 2 OD. 3 2 points 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 P = 1 equals O A. (1 +b) / ( 1 -a ) O B. (1-b) / (1 +a) O c. ( 1 -a ) / (1+b) O D. 1 - 62 points QUESTION 9 The derivative of function f(x) is f'(x). The derivative of function y = x . If(x) ]2 is dy/dx = OA . f' ( x ) [f ( x ) + 2xf' (x ) ] O B. f ( x ) [f' ( xx ) + 2x] oc. f (x) [f ( x ) + 2 xf' (xx ) ] OD. 1+ 2 f (x ) 2 points QUESTION 10 Suppose function h(x) = * defined on interval (1, too) is decreasing as x increases. This information implies that OA. a > 1 O B. a = 0 Oca oQUESTION 13 2 po Consider implicit function y3 + x2y -6 =0. The derivative dy/dx = O A. 2xy 3 y2 + x2 O B. 3 y2 + x2 2xy OC. 3V2+ x2 2xy OD. 2xy 3y2 + x2 QUESTION 14 2 poi The functiony = x3 - 12x + 1 has a local maximum value at point O A. X = -2 O B. X = 2 O C. x = - 4 O D. X = 4