Evaluate the function to answer the question. Use the equation Max = (x + y + lx-yl) to answer the following questions. Recall that lal means the absolute value of a number. (a) Evaluate the equation for x = 10 and y = 7. (b) Evaluate the equation for x = 11 and y = 6. (c) Evaluate the equation for x = -5 and y = -8. (d) Evaluate the equation for x=-9 and y = 4.

A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x. F(x) = Find the derivative F'(x). F'(x) = Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = What should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence? smaller value ft larger value ft Submit Answer

0 = (x - 1)2 - 8 Find the x coordinates

A paved road runs east through the desert into a town. A dunebuggy is located 5 miles west and 2 miles south of the town, in the desert. (A dunebuggy is sort of a car made to go on dirt.) The buggy can travel 30 mph in the desert, and 50 mph on the road. Find the route that gets it into town the fastest. In particular, in the picture below find the value of x that results in the fastest route for the dunebuggy. 5mi Road Town 2mi Route Buggy