The period of a pendulum with length L that makes a maximum angle
where
(a) Expand the integrand as a binomial series and use the result of Exercise 7.1.50 to show that
If
(b) Notice that all the terms in the series after the first one have coefficients that are at most
(c) Use the inequalities in part (b) to estimate the period of a pendulum with
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CALCULUS WEBASSIGN <CUSTOM>
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage