 21.2.1.1: Use the Bisection method to find p3 for f (x) = x cos x on [0, 1].
 21.2.1.2: Let f (x) = 3(x + 1)(x 1 2 )(x 1). Use the Bisection method on the ...
 21.2.1.3: Use the Bisection method to find solutions accurate to within 102 f...
 21.2.1.4: Use the Bisection method to find solutions accurate to within 102 f...
 21.2.1.5: Use the Bisection method to find solutions accurate to within 105 f...
 21.2.1.6: Use the Bisection method to find solutions accurate to within 105 f...
 21.2.1.7: a. Sketch the graphs of y = x and y = 2 sin x. b. Use the Bisection...
 21.2.1.8: a. Sketch the graphs of y = x and y = tan x. b. Use the Bisection m...
 21.2.1.9: a. Sketch the graphs of y = ex 2 and y = cos(ex 2). b. Use the Bise...
 21.2.1.10: Let f (x) = (x +2)(x +1)2 x(x 1)3(x 2). To which zero of f does the...
 21.2.1.11: Let f (x) = (x +2)(x +1)x(x 1)3(x 2). To which zero of f does the B...
 21.2.1.12: Find an approximation to 3 correct to within 104 using the Bisectio...
 21.2.1.13: Find an approximation to 3 25 correct to within 104 using the Bisec...
 21.2.1.14: Use Theorem 2.1 to find a bound for the number of iterations needed...
 21.2.1.15: Use Theorem 2.1 to find a bound for the number of iterations needed...
 21.2.1.16: Let f (x) = (x 1)10, p = 1, and pn = 1 + 1/n. Show that  f (pn ) ...
 21.2.1.17: Let {pn } be the sequence defined by pn = n k=1(1/k). Show that {pn...
 21.2.1.18: The function defined by f (x) = sin x has zeros at every integer. S...
 21.2.1.19: A trough of length L has a cross section in the shape of a semicirc...
 21.2.1.20: A particle starts at rest on a smooth inclined plane whose angle is...
Solutions for Chapter 21: The Bisection Method
Full solutions for Numerical Analysis (Available Titles CengageNOW)  8th Edition
ISBN: 9780534392000
Solutions for Chapter 21: The Bisection Method
Get Full SolutionsThis textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 21: The Bisection Method includes 20 full stepbystep solutions. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000. Since 20 problems in chapter 21: The Bisection Method have been answered, more than 12721 students have viewed full stepbystep solutions from this chapter.

Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.

Binomial probability
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n  k2!pk11  p) nk where p is the probability of the outcome occurring once

Boundary
The set of points on the “edge” of a region

Directed angle
See Polar coordinates.

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Double inequality
A statement that describes a bounded interval, such as 3 ? x < 5

Extracting square roots
A method for solving equations in the form x 2 = k.

Inverse composition rule
The composition of a onetoone function with its inverse results in the identity function.

Inverse of a matrix
The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

Measure of center
A measure of the typical, middle, or average value for a data set

Outcomes
The various possible results of an experiment.

Random behavior
Behavior that is determined only by the laws of probability.

Reflection across the xaxis
x, y and (x,y) are reflections of each other across the xaxis.

Reflection through the origin
x, y and (x,y) are reflections of each other through the origin.

Row operations
See Elementary row operations.

Singular matrix
A square matrix with zero determinant

Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true

Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n  12d4,

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

xzplane
The points x, 0, z in Cartesian space.