In e2x 73. Let f (x ) = - for x>1. If g is the inverse of f, then g' (3) = x-1 A. 2 B. 1 C. 0 D. -1 E. - 2 74. Let R be the region in the first quadrant bounded by the graph of f (x) = v1+ x , from x =1to x =4. Approximate the area of R using 3 right-end rectangles of equal width. A. 8.146 B. 8.167 C. 9.521 D. 6.813 E. 8.135 Inx- - xInx 75. If the function fis continuous for all positive real numbers and if f (x) = when x * 2 x - 2 , then f (2) = A. L B. -2 C. -e D. - In 2 E. undefined\f70. Find the absolute maximum of f (x) = 3vx 2 x + 2 on x E [0, 16]. A. 2 B. 6 C. 6.5 D. 9 E. 165-5. The demand and supply functions for a partiCular commodity are given. The demand function is D[x) = U.33r2 + 70 and the supply function is S(x) = 0.1x2 + x +20 where x is the number of thousands of the commodityr that will he demanded {sold}. Find the producers' surplus at market equilibrium. A. 116.6? B. 200 C. 283.33 D. 316.6? E. 583.33 52. If f[x) = 111-45, then the average rate of change off an the interval [3,7] is approximately A. U. 105 B. U. 189 C. 0.2 1 2 D. 0.424 E. 0.847 In x)- 59. dx = X A. 0.096 B. 1.00 C. 2.718 D. 2.333 E. 0.079 60. The total area between the graph of the curve y = x' -5x- + 4x and the x-axis is A. 11.74 B. 11.77 C. 11.8 D. 11.83 E. 11.8655. Let R be the region enclosed by the curve y = 111:: , the x-axis and the line a: = 5. If 4 equal subdivisions of the closed interval [1, 5] are used what is the area of the rectangles using a left approximation. A. 3.1?3 B. 3.933 C. 4.022 D. 4.04? E. 4.73