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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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5. Use modified Euler method to solve
dy
- 2y + 4e*
dt
dx _yx
=
dt
3
Over the range of t= [0 0.6], using a step size of 0.2 with y(0) = 2 and x(0) = 4.
6. Repeat problem 5 Using Runge Kuta 4th order method

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In this question, we are going to estimate the value of (6/5)^1/3 without a calculator, with the help of the linear approximation of the function f(x)=(1+4x)1/3 a)Calculate f′(0) b)Deduce the linear approximation L(x) of the function f(x) around the point x=0 c)We need the value of x. For what value of x will we have that f(x)=(6/5)^1/3? d)Since your answer in (c) is close to 0, use the approximation in (b) to estimate (6/5)^1/3
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