18. The largest possible rectangle is to be inscribed inside the semi-circle as shown. The area formula is given by: A(x
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18. The largest possible rectangle is to be inscribed inside the semi-circle as shown. The area formula is given by: A(x) = 2x(400 – x2)1/2. Determine A'(x) showing proper steps, set it = 0, and solve for x to give you the value of x that maximizes the area of the rectangle. State the exact dimensions of the rectangle and its maximum area. Use decimals to verify with FDT. [7 marks] y (x, V400- x?) w h.