please help, due soon! this is all the info I have. thank you soo much! :)

(1) Farmer Abe has a budget of $300 to build a rectangular pen to protect his rambunctious sheep. He decides that three sides of the pen will be constructed with chain-link fence, which costs only $1 per foot. Farmer Abe decides that the fourth side of the pen will be made with sturdier fence, which costs $5 per foot. Find the dimensions of the largest area the pen can enclose. (2) A window has the shape of a rectangle with two semicircles attached, giving it an oval shape as seen in the picture below. If the window is to have a perimeter of 28 ft, what should its dimensions be in order to allow the maximum amount of light through it (that is, the maximum area)? Describe the resulting shape. v (3) Sketch the graph of a function f having the following properties: Label points of inflection, if any, on the graph. . The domain of f(x) is (-0o, 5) U (5, co) and f is continuous on its domain. . f(-6) = -3; f(2) = 4. x = 5 is a vertical asymptote. . lim f(x) = -co and lim f(x) = 0. 20 - - 20 + 00 . f'(2) = 0; f'(x) > 0 on (-co, 2) and on (5, co); f'(x) 0 on (3, 5). y A 7 - 5 Co NO -0- - 8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 CT- 6 7 8 -1- -2- -3- -4 -5- - 7