MAC 2312 Midterm: MAC2312 F11 Test 1
Document Summary
Instructions: write your complete solutions on your answer sheets. No graphing calculators are allowed to be used. To receive credit, you must show all work. You are not required to simplify your answers. Assume all physical units (length, force, etc. ) are in the mks system, hence are compatible. (1) (40 pts. ) Do not evaluate the integral. (c) set up an integral for the volume of the solid generated when r is revolved about the y-axis. Do not evaluate the integral. (d) find y, the y-coordinate of the centroid of r. (2) (10 pts. ) The natural length of a spring is 0. 6. The amount of work required to stretch it from its natural length to a length 0. 8 is 7. Solve for the spring constant k. a weight of 35 when suspended from the spring will stretch it to what length? (3) (30 pts. ) Let c denote the curve de ned by y = e 5x, where 0 x 10.
