1. How close does the semicircle x^2 + y^2 = 16 come close to the point (3^1/2, 1)? (Hint: if you minimize the square of the distance, you can avoid dealing with square roots.)
2. The U.S. Postal Service wil accept a box for domestic shipment only if the some of its length and girth (girth being total distance around the package once) does not exceed 92 inches. What dimensions will give a box with a square end the largest possible volume?
3. The Strength of a rectangular wooden beam is proportional to its width times the square of its depth. Find the dimensions of the strongest rectangular beam that can be cut from a 12-inch diameter log.
I am in the first semester of calculus in college, so this work would have to be done with that, can anyone help me? I don't understand this at all.