uiz 5. Name: Four questions, five points each, twenty points total. Please show your work! #1. A parabolic arch is twenty feet wide at the base and fifteen feet tall at the center. Draw the arch, choose a suitable location for x-y axes, and write an equation for the arch with respect to those axes. How tall is the arch at points five feet from its center? #2. Farmer Amidala of Naboo is getting ready to harvest his banoos. If he harvests now, his extraterrestrial fields will yield 100 bushels per acre; every week that he waits, he expects the yield to increase by 2 bushels per acre. Meanwhile, the price of banoos is presently $3.25 per bushel, but expected to decline steadily by about three cents per week. In how many weeks should Farmer Amidala harvest his banoos, if he wants to maximize revenue? #3. The weight of a trout varies jointly with its length and the square of its girth (which is the distance measured around the body of the fish). Dad catches a ten-pound trout; it measures 25 inches long and 18 inches in girth. If little Geoffrey catches an 18-inch long trout with a 12-inch girth, how much does it weigh? #4. Given f(x) = 4x 1 4x 1 and g(x) = , construct the function (f/g)(x) and state its domain. 2x 3 4x 2 9