Solutions for Chapter 6.6: Calculus: Early Transcendentals 1st Edition

See Mathematical induction.

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

The angle that the vector makes with the positive x-axis

A line used to determine the conic

The left side of u(v + w) = uv + uw.

The length of the chord through the focus and perpendicular to the axis.

The complex number.

The function y = cos-1 x

A relation that consists of all ordered pairs b, a for which a, b belongs to R.

limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

See Logistic growth function.

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

Length of 1 minute of arc along the Earth’s equator.

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

The set of all output values corresponding to elements in the domain.

A solution.

See Quartile.

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.