2. [n.5n Poi nts] PREVIOUS ANSWERS MY NOTES || ASK YOUR TEACHER || PRACTICE ANOTHER For its beef stew, Bettyr Moore Comoan',r uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 33 in.3 and is constructed using the least amount of metal. Let r and h (in in.) be the radius and height of'le container, respectively. r = 174 v in. (Round your answer to two decimal places, if necessary.) Complete the following parts. (3) Give a function fin the variable rfor the quantity to be optimized. 55 2 r)= 7+2}? V (b) State the domain ofthis function. (Enter your answer using interval notation.) (colUlUpo} K (c) Give the formula for h in terms of r. h = 3.47 K 4. [0.5\" Points] DETAILS ] [ PREVIOUS ANSWERS MY NOTES ASK YD Juanita wishes to have a rectangular garden in her backyard Iwith an area of 96 ftz. Find the dimensions of the garden that will minimize the amount of fencing needed. Letx be the width {in ft) of the garden, and y be the length (in ft) of the garden. x = 9.3 v ft [Round your answer to two decimal places, if necessary.) Complete the following parts. (a) Give a function fin the variable xfor the quantity to be optimized. x) = 2(x + a) x I (b) State the domain of this function. {Enter your answer using interval notation.) (700.0} U (0.00} X (c) Give the fonnula for y in terms ofx. y = 9.79 X \f3. [0.05JDJ Points] DETAILS PREVIOUS ANSWERS MY NOTES 1 [ ASK YOUR TEACHER 1 [ PRACTICE ANOTHER 11'1e owner of the Rancho Brande has 2944 yd offencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. Assume that fencing is not required along the river (see the gure below). Letting x be the length (in yd) of the side of rectangular piece of land not parallel to the straight portion of a river, nd a function fin the variable x giving the area of the enclosed land. too = 294g 2x2 i What is the domain of this function? [Enter your answer using interval notaIion.) [9010]U(0,oo] X 4-. {0.05\"}.1 Points] PREVIOUSANSWERS i MY NOTES H ASKYOUR TEACHER H PRACTICE ANOTHER By cutting away identical squares from each comer of a rectangular piece of cardboard and folding up the resulting aps, an open boo