Answer Happy

- A - Find the value of "k" for which (4x3 – 6x2 + k) dx = -4 [6] B - Find the average value of the function f(x) = x + 1 over [3,8). [6] C-The demand function for a particula oduct is given by D(x) = 24 - .6x – .0322. If zo 10 units,find the consumer surplus for this product. [6] D - A defense contractor is starting production on a new missile control system. On the basis of data collected while assembling the first 16 control systems, the production manager obtained the following function for rate of labor use: g(x) = 2400x - 1/2 ,where g(x) is the number of labor-hours required to assemble the xth unit of a control system. What is the net change in labor-hours required to assemble the 16th to 25th control units? [5] E- Find the area of the region bounded by y = x - 4x2 + x + 6 and the x-axis over (0,3]. [7]

D-A defense contractor is starting production on a new missile control system. On the basis of data collected while assembling the first 16 control systems, the production manager obtained the following function for rate of labor use: g(x) = 2400x4 ,where g(x) is the number of labor-hours required to assemble the xth unit of a control system. What is the net change in labor-hours required to assemble the 16th to 25th control units? [5] E- Find the area of the region bounded by y = 23 – 4x2 +2 +6 and the x-axis over [0,3). [7] F - Find the area enclosed by the curves y=x2-1 and y = 1 - 2. [7] G - Find the volume of the solid formed by revolving the region below the curve y= V1 + x2 over (0,3 about the x-axis. (use the disk method) [7]