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# Solutions for Chapter 5-7: Variable Step-Size Multistep Methods

## Full solutions for Numerical Analysis (Available Titles CengageNOW) | 8th Edition

ISBN: 9780534392000

Solutions for Chapter 5-7: Variable Step-Size Multistep Methods

Solutions for Chapter 5-7
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##### ISBN: 9780534392000

This 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. Since 5 problems in chapter 5-7: Variable Step-Size Multistep Methods have been answered, more than 11536 students have viewed full step-by-step solutions from this chapter. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000. Chapter 5-7: Variable Step-Size Multistep Methods includes 5 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arccotangent function

See Inverse cotangent function.

• Composition of functions

(f ? g) (x) = f (g(x))

• Direction vector for a line

A vector in the direction of a line in three-dimensional space

• Instantaneous velocity

The instantaneous rate of change of a position function with respect to time, p. 737.

• Inverse cosine function

The function y = cos-1 x

• Inverse variation

See Power function.

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Solve by substitution

Method for solving systems of linear equations.

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Terms of a sequence

The range elements of a sequence.

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Vertical stretch or shrink

See Stretch, Shrink.

• xz-plane

The points x, 0, z in Cartesian space.

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

• yz-plane

The points (0, y, z) in Cartesian space.

• Zero vector

The vector <0,0> or <0,0,0>.

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