QCEVault

Further applications of differentiation — Question 28

Original QCE Vault practice · 4 marks

Q28 · Practice questionTechnology-freeSimple familiar4 marks

QUESTION 28 (4 marks)

A rectangle is inscribed symmetrically under the parabola y=12−x2y=12-x^2 and above the xx-axis, as shown. The upper right corner is (x,12−x2)(x,12-x^2), where 0<x<120<x<\sqrt{12}. Determine the maximum possible area of the rectangle.
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