1) Combined perimeter of a equilateral triangle and square is 9. Find the dimensions of the triangle that produce the minimum and maximum area
2)A rectangle's lower edge is on the x-axis and its upper two corners are on the semicircle y=sqrt(16-x^2).What length and width should the rectangle have so that its area is a maximum?
3)A rectangular poster is to contain 144 square inches of print. The margins at the top and bottom and on each side are to be 4 inches. Find the dimensions of the page which will minimize the amount of paper used.