1. An open box is to be made from a 3x4 piece of paper by cutting equal squares from each corner. Find the volume of the largest box.
Question: Okay, this is ridiculous, but if my x-value turns out (7+/-√31) / 6, how do I know which value to use?
2. A paper contains 45 square inches of print. The margins at top/bottom are 1.5 in. At each side, they are 1 in. What are the dimensions in order to have a minimum amount of paper?
The answer's √30 x (3√30)/2, but I'm not getting the same answer.
3. Find the point on the graph of y=x^3 closest to the point (2,0).
Question: Do I just use the distance formula for this?
Any help is greatly appreciated.