TMUA Official 2022 Paper 1 · Question 15

Official papers

Official 2022 Paper 1 · Q15

Paper 1Geometry

A rectangle is drawn in the region enclosed by the curves $p$ and $q$ , where

p(x)=8-2x^2

q(x)=x^2-2

such that the sides of the rectangle are parallel to the $x$ - and $y$ -axes.

What is the maximum possible area of the rectangle?

\frac{26}9

\frac{52}9

\frac{4\sqrt6}3

\frac{8\sqrt6}3

4\sqrt2

8\sqrt2

\frac{20\sqrt{10}}9

\frac{40\sqrt{10}}9

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