Solutions for Chapter 9: PVectors in Two and Three Dimensions

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

A sequence of equal periodic payments.

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

See Power function.

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

A shift of a graph to the left or right.

An equation that is always true throughout its domain.

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

The line for which the sum of the squares of the residuals is the smallest possible

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

A function viewed as a mapping of the elements of the domain onto the elements of the range

See Polar coordinate system.

logb Rc = c logb R, R 7 0.

Behavior that is determined only by the laws of probability.

A horizontal line that represents the set of real numbers.

A 90° angle.

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.

The function y = tan x

A characteristic of individuals that is being identified or measured.