A rectangle is constructed under the graph of

f(x) =$\displaystyle {3}{x}^{{3}}$ with one corner at ( 8, 0) and one corner

on the graph of f(x) = $\displaystyle {3}{x}^{{3}}$ (0≤x≤8).



Represent the area A of the rectangle as a

function of x: A(x)=

Note: Use ^ to raise x to a power (like x^3 for x cubed).



What value of x will maximize the area of the

rectangle? Maximum area when x=

Note: Input the x value as a decimal number rounded

to two decimal places (like 34.12 or 4.67)