solving for y
and
taking the derivative
Finally setting equal to we get three critical values
so now we get three y values
and
so our min is at
1. Find the minimum value of A if A=4y + x^2, where (x^2 + 1)y=324.
2. By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, the cardboard may be turned into an open box. If the cardboard is 16 inches long and 10 inches wide, find the dimensions of the box that will yield maximum volume