d the relative maximum and minimum values. f(x,y) =x2+ xy+ y2 -28y +261 ect the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The function has a relative maximum value of f(x,y) =|at (x,y) = (Simplify your answers. Type exact answers. Type an ordered pair in the second answer box.) B. The function has no relative maximum value. ect the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The function has a relative minimum value of f(x,y) =|at (x,y) = (Simplify your answers. Type exact answers. Type an ordered pair in the second answer box.) B. The function has no relative minimum value. k to select and enter your answer(s).A zoo supplier is building a glass-walled terrarium whose interior volume is to be 6 fto. Material costs per square foot are estimated as shown below. Walls: $4.00 Floor: $3.00 Ceiling: $3.00 What dimensions of the terrarium will minimize the total cost? What is the minimum cost? Z= ft The minimum cost of the terrarium is $For a density function d(x,y) defined over a region R in the xy-plane, the center of mass, (xy) , is given by the following equations. x . d(x,y) dy dx [ly .d(xy) dy dx R R Y = and y = [ Ja(xx) dy dx d(x.y) dy dx R R Find the center of mass of the density function d(x,y) = x + 3y over the rectangle with vertices (0,0), (3,0), (3,4), and (0,4). The center of mass is (Type an ordered pair, using integers or decimals. Round to three decimal places as needed.)