Precalculus 7th Edition - Solutions by Chapter

The acute angle formed by the line of sight (downward) and the horizontal

a + b = b + a ab = ba

See Compounded k times per year.

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

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 visible representation of a numerical or algebraic model.

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

The notation dy/dx for the derivative of ƒ.

The inverse of the exponential function y = bx, denoted by y = logb x

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

The line segment through the foci of an ellipse with endpoints on the ellipse

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

Two vectors u and v with u x v = 0.

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.