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Let F be the odd periodic extension of j on the interval - I < x < I. Show that the

ISBN: 9780387908069 381

Solution for problem 6 Chapter 5.7

Differential Equations and Their Applications: An Introduction to Applied Mathematics | 3rd Edition

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Problem 6

Let F be the odd periodic extension of j on the interval - I < x < I. Show that the Fourier series 2 I 9 [,lf(x) sin, h] sin 7 n- 1 converges to F(x) if F is continuous at x.

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Week 6 10/3 Section 4.3 continued Binomial Experiment review 1. N trials 2. each trial has 2 outcomes (success and failure) 3. p=success and q=p-q=failure 4. trails are independent - x=number of successes - x=0,1, 2,…n where n is the number of trials n x n-x - p(x) = ( )xp )(q ) because we can’t use calculator...

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