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January 29, 2015

January 29, 2015

Posted by **azeem** on Friday, July 5, 2013 at 8:54am.

- Calculus - linearization -
**MathMate**, Friday, July 5, 2013 at 11:03amSince the exact increase can be calculated readily by

π(r2²-r1²)

=π(44.4²-44²)

=35.36π

I assume you are working on linearization in calculus.

Let

A(r)=πr²

A'(r)=2πr

Approximate increase in area

=A'(r)Δr

=2πr*Δr

=2π(44)(0.4)

=35.2π (approximately)

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