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14. A tent manufacturer is altering the design of their campground shelter to make it more cost effective to build. The new design will include two square ends, a rectangular back, and two rectangular roof panels (identical to the back) that meet at the peak of the roof. If there is 1000 sq. ft. of tenting material allotted to the shelter, find the dimensions that will maximize its volume. End Panels: s by s with area s?, Back/Top Panels: s by x with area s*x, Volume: (1+)-s' .x BONUS 1: A drug is given intravenously to a man at a constant rate 0.8 mg / hr while it is excreted from his body at the rate of one-tenth of the amount of the drug in his body. Find the solution of the differential equation for the amount of the drug in his body as a function of time t in hours, if the man has none of the drug in his system at time t = 0. BONUS 2: Find the linearization of / (x) -5: ese / of with the centering value a