QUESTION 7 Find the dimensions of the rectangle of largest area that has its base on the cataxis and its other two vertices above the xaxis and lying on the parabola y = 9 1:2 As your answer please input the value of the area of the rectangle (that has the maximal area) in the decimal form with three signicant digits after the decimal point. QUESTION 8 A Norman window has the outline of a semicircle on top of a rectangle (see Figure below). Suppose there is 8 -I- 71' feet of wood trim available for all 4 sides of the rectangle and the semicircle. Find the dimensions of the rectangle (and hence the semicircle) that will maximize the area of the window. As your answer please input value of the maximal area of the window in decimal format with three signicant digits after the decimal place. QUESTION 9 A metal box (without a top) is to be constructed from a square sheet of metal that is 30cm on a side by cutting square pieces of the same size from the corners of the sheet and then folding up the sides. Find the dimensions of the box with the Iargt volume that can be constructed in this manner. As your answer please input the value of the maximal volume of the box. QUESTION 10 Find the radius 'r' and height of a closed right circular cylinder with volume of 12817 in3 that has the minimal surface area. As your answer please enter the value of 1" that gives the minimal surface area. |_