6. [-/4 Points] DETAILS MY NOTES A landscape architect plans to enclose a 2000 square foot rectangular region in a botanical garden. She will use shrubs costing $25 per foot along three sides and fencing costing $10 per foot along the north side. fence shrubs 1 shrubs X shrubs (a) If x is the length of fencing used, write a formula for the total cost in terms of x only. C (x ) = (b) Find the length of fence that will minimize the total cost. Give an exact answer. X = feet (c) Find the minimum total cost. Give your answer to the nearest penny. $4. [I5 Points] You are asked to build an open cylindrical can (i.e. no top) that will hold 171.5 cubic inches. To do this, you will cut its bottom from a square of metal and form its curved side by bending a rectangular sheet of metal. 2m (a) Express the total amount of material required for the square and the rectangle in terms of r. A(r) = (b) Find A '(r) = (c) Find the non-zero critical point of A(r). 1 [0/2 Points] PREVIOUS ANSWERS A 17 foot ladder is leaning against a wall as shown. ladder A (3) Express h in terms of a. 17 me) = 7 x (b) Express 6 in terms of h. 6(h) = 2t [I1.5 Polnts] DETAILS A rectangular swimming puul is tu be built with an area of 3200 square feet. The owner wants 5-foot wide decks alung either side and 10-fuut wide decks at the two ends. In this problem you will find the dimensiuns of the smallest piece of property cm which the pool can be built satisfying these conditions. If the dimensions of the swimming pool are denoted by x and y, which of the following functions could be used to represent the area of the piece of property needed? 0A(x) = (33% 10)(x 20) 3200 + 10)( 3200 X +20) x