TMUA 2022 Paper 1 Q15 — Worked Solution

P1·Differentiation, Functions, Transformations & Graphs·6.5Official · 2022 · Q15

optimisationarea-between-curvesstationary-point

A rectangle is drawn in the region enclosed by the curves

p

and

q

, where

p (x) = 8 - 2 x^{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?

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