tmua 2022 Q15

tmua · Uk · paper1 1 marks Areas by integration

A rectangle is drawn in the region enclosed by the curves $p$ and $q$, where
$$\begin{aligned} & p ( x ) = 8 - 2 x ^ { 2 } \\ & q ( x ) = x ^ { 2 } - 2 \end{aligned}$$
such that the sides of the rectangle are parallel to the $x$ - and $y$-axes.
What is the maximum possible area of the rectangle?

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

$$\begin{aligned}
& p ( x ) = 8 - 2 x ^ { 2 } \\
& q ( x ) = x ^ { 2 } - 2
\end{aligned}$$

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

What is the maximum possible area of the rectangle?

Paper Questions

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