Fundamentals of Differential Equations 8th Edition - Solutions by Chapter

The case in which two sides and a nonincluded angle can determine two different triangles

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

The measure of an angle in degrees, minutes, and seconds

An equation that is always true throughout its domain.

See Derivative at x = a.

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

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.

The function y = sin-1 x

Real numbers that are not rational, p. 2.

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

The number of degrees or radians in an angle

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

The limit of ƒ as x approaches a from the right.

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

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

See Power function.

A point that lies on both the graph and the x-axis,.

The scale of the tick marks on the x-axis in a viewing window.