Solutions for Chapter 3.1: Calculus: Early Transcendentals 1st Edition

An angle whose measure is between 0° and 90°

A polynomial with exactly two terms

The function y = cot x

The notation dy/dx for the derivative of ƒ.

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

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)

The numbers 1, 2, 3, . . . ,.

x = y if and only if logb x = logb y.

Geometric representation of vector addition using the parallelogram determined by the position vectors.

See Trigonometric form of a complex number.

See Polar coordinate system.

An equation that can be written in the form ax 2 + bx + c = 01a ? 02

The graph in three dimensions of a seconddegree equation in three variables.

Zeros of a function that are rational numbers.

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

A transformation that leaves the basic shape of a graph unchanged.

A circle with radius 1 centered at the origin.

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.