The area of a regular octagon of side le...

The area of a regular octagon of side length a is A.
(a) Find the time rate of change of area of the octagon if its side length is being increased at a constant rate of `beta m//s`. Is the time rate of change of area of the octagon constant with time ?
(b) Find the approximate change in area of the octagon as the side length is increased from 2.0 m to 2.001 m.

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