Solutions for Chapter 1: Preparation for Calculus

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

The number r2 or R2 that measures how well a regression curve fits the data

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

A real number that represents one “end” of an interval.

Any solution of the resulting equation that is not a solution of the original equation.

A function whose domain is the first n positive integers for some fixed integer n.

The net amount of money returned from an annuity.

A polynomial function whose degree is ? 3

A test for finding a lower bound for the real zeros of a polynomial

For a basic trigonometric function f, an identity relating f(x) to f(-x).

See Power function

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

A variable (in statistics) that takes on numerical values for a characteristic being measured.

See Radical.

Finding the horizontal and vertical components of a vector.

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.

A visualization of the Multiplication Principle of Probability.

See Stretch, Shrink.

The restrictions on x and y that specify a viewing window. See Viewing window.

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).