Show all supportin- work for all problems. 1. A rectangle has its base on the xaxis. the upper 2. The difference between 2 numbers is 50. Find the left vertex on the yaxis, and the upper right vertex on 2 numbers such that their product is as small as the curve y = e '1 . 1What length and width should the possible. rectangle have so that its area is maximized? 3. A dairy farmer plans to fence in a rectangular 4. An open topped box is to be made from a pasture adjacent to a river. The river serves as one rectangular pieoe of cardboard (2 feet by 3 feet) by border to the pasture, so the farmer does not need a cutting equal squares from each corner and turning fence along that part. The pasture must contain up the sides. Find the dimensions ofthe box of 180,000 square meters in order to provide enough maximum volume. grass for the herd. What dimensions would require the least amount of fencing