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# CAS PROJECT. Limit of a Rectangular Wave. Effects of ImpUlse. (a) In Example I. take a ISBN: 9780471488859 172

## Solution for problem 6.1.150 Chapter 6.4

Advanced Engineering Mathematics | 9th Edition

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Problem 6.1.150

CAS PROJECT. Limit of a Rectangular Wave. Effects of ImpUlse. (a) In Example I. take a rectangular wave of area 1 from 1 to I + k. Graph the responses for a sequence of values of k approaching zero. illustrating that for smaller and smaller" those curves approach the curve shown in Fig. 132. Hint: If your CAS gives no solution for the differential equation. involving k, take specifick's from the beginning.(b) Experiment on the response of the ODE inExample 1 (or of another ODE of your choice) to animpulse OCt - a) for various systematically chosen a(> 0); choose initial conditions yeO) =1= 0, y' (0) = O.Also consider the solution if no impulse is applied. Isthere a dependence of the response on a? On b if youchoose bo(t - a)? Would -o(t - Ii) with a > aannihilate the effect of o(t - a)? Can you think ofother questions that one could considerexperimentally by inspecting graphs?

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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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##### ISBN: 9780471488859

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