f(x) = ex/4 – 2Cosx = 0 a positive root of the equation; 1-) indicate the estimated location by graphical method 2-) Obtain the positive root for n = 9 as nine decimal places (9D) using the Sequential Approaches Method with an initial value of x0 = 0.5. 3-) Show that there is a root in the range 0.5

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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f(x) = ex/4 – 2Cosx = 0 a positive root of the equation;

1-) indicate the estimated location by graphical method

2-) Obtain the positive root for n = 9 as nine decimal places (9D) using the Sequential Approaches Method with an initial value of x0 = 0.5.

3-) Show that there is a root in the range 0.5 <x <1, with an initial value of x0 = 0.75, obtain the positive root for n = 3 with nine decimal places (9D) using the Newton-Raphson Method.

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