I'm doing good with calculus but I'm having trouble deciphering optimization problems. Two currently:
Find the area of the largest rectangle that can be inscribed in a right triangle with legs of length 3cm and 4cm if two sides of the rectangle lie along the sides. (leg refers to a side that is not the hypotenuse) Here I dont even know what functions to use.. A = L*W (square) A= 1/2 * (x+3) * (y+4) (triangle)
Another one is: A box with square base and open top must have a volume of 32000 cm^3 Find the dimensions of the box that minimize the amount of material.
V = l*w*h here I assume square means l and w are equal. So 32000 = h * w^2
Basically I can't get past the wording and formula formation. I can get past the derivative and finding the critical points once I can create a formula.. Any help would be much appreciated.