Maths Help Please! :)

area of rect = (1 - t^2) * 2t
d(area of rect)/dt = 2t - 6t^2

Maximal when d(area of rect)/dt = 0
t = +/- 1/sqrt(3)
(ignore negative solution)

So area is (1 - 1/3) * 2/sqrt(3)
= 0.770 (3sf)
 
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