(1 point) A rectangle's lower edge is on the x-axis and its upper two corners are on the semicircle y = \"4 x2. What length and width should the rectangle have so that its area is a maximum? Length and width are (enter the values separated by commas, e.g., "2,8") (1 point) An open box is to be made from a rectangular piece of cardboard which is 8 inches by 16 inches by cutting equal squares from the corners and turning up the sides. Find the size of the square which gives the box of largest volume. Square is inches on each side. (1 point) Find two nonnegative numbers whose sum is 26 and whose product is a maximum. The two numbers are (enter the numbers separated by commas, e.g., "2,8") (1 point) Find two positive numbers whose product is 72 such that the sum of the first plus 2 times the second is a minimum. The two numbers are (enter the numbers separated by commas, e.g., "2,8") (1 point) The combined perimeter of an equilateral triangle and a square is 13. Find the dimensions of the triangle and square that produce a minimum total area. The square measures on each side. The triangle measures on each side. (1 point) A rectangle's bottom edge is on the x-axis, its left edge is on the y-axis, and its upper-right corner is on the graph of y = T What should its length and width be so that its area is maximized? Length and width are (enter both values separated by commas, e.g., "2,8") (1 point) A rectangular poster is to contain 121 square inches of print. The margins at the top and bottom and on each side are to be 2 inches. Find the dimensions of the page which will minimize the amount of paper used. Dimensions are inches (enter the values separated by commas, e.g., "2,8") (1 point) A solid is formed by adjoining two hemispheres to the ends of a circular cylinder. The radius of the hemispheres is the same as the radius of the cylinder. The total volume of the solid is 4 cubic inches. What radius should the cylinder be to produce the minimum surface area? Radius is inches. (1 point) Find the length and width of a rectangle with perimeter 24 and maximum area. Length and width are (enter the values separated by commas, e.g., "2,8")