Answer with solution

TEST II - Problem Solving (10 points each) 1. f(x) = sinh(sinh-1(e2x sinh(e2x))) Find : f"(x) 2. Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 210 cu. cm in square cm. 3. A box is to be constructed from a piece of zinc 100 sq. cm by cutting equal squares from each corner and turning up the zinc to form the side. What is the surface area of the largest volume of the box that can be so constructed? 4. An open top rectangular tank with square bases is to have a volume of 20 cu. cm. The materials for its bottom are to cost Php 13.00 per square meter and that for the sides Php 7.00 per square meter. Find the most economical dimensions for the tank