1. Find the absolute maximum value of the function . (4 points) -2 1 0 None of these 2. In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible product. (4 points) 30 3. A farmer has 1,800 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. Write the function that will produce the largest area if x is the short side of the rectangle. (4 points) f(x) = -2x2 + 1800x f(x) = -x2 + 1800x f(x) = x2 - 1800 f(x) = 2x2 - 1800 4. What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 3 - x 2? (4 points) 1 3 4 12 5. If 1,200 cm2 of material is available to make a box with a square base and an open top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000. (4 points) 4000