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# (a) Experiment with a calculator to find an interval 0 u

## Problem 5.1.118 Chapter 5.3

Differential Equations with Boundary-Value Problems, | 8th Edition

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Problem 5.1.118

(a) Experiment with a calculator to find an interval 0 u u1, where u is measured in radians, for which you think sin u u is a fairly good estimate. Then use a graphing utility to plot the graphs of y x and y sin x on the same coordinate axes for 0 x p2. Do the graphs confirm your observations with the calculator? (b) Use a numerical solver to plot the solution curves of the initial-value problems and for several values of u0 in the interval 0 u u1 found in part (a). Then plot solution curves of the initial-value problems for several values of u0 for which u0 u1.

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Chapter 1 Notes Section 1.1­ Sampling ● Statistics ○ Collecting data, displaying data and drawing conclusions ● Population: ○ The entire collection (ex: Clemson University) ● Sample: ○ Subset of the population (ex: Athletes at Clemson) ● Sample Types ○ Simple Random Sample (SRS):​ everything has an equal...

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