Suppose that the Bisection Method is used to find a zero (root) of f(x) in the interval [0,1]. How many times must this interval be bisected (divided into half) to guarantee that the approximation CN has as accuracy of 5x109? Select one: О a. 25 O b. 27 О с. 31 O d. 29

Suppose that the Bisection Method is used to find a zero (root) of f(x) in the interval [0,1]. How many times must this interval be bisected (divided into half) to guarantee that the approximation CN has as accuracy of 5x109? Select one: О a. 25 O b. 27 О с. 31 O d. 29

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

Question

Suppose that the Bisection Method is used to find a zero (root) of f(x) in the
interval [0,1]. How many times must this interval be bisected (divided into
half) to guarantee that the approximation CN has as accuracy of 5x109?
Select one:
О a. 25
O b. 27
О с. 31
O d. 29

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