Functions Modeling Change: A Preparation for Calculus 5th Edition - Solutions by Chapter

An interval that includes its endpoints

Two angles of positive measure whose sum is 90°

A sequence {an} converges to a if limn: q an = a

The function y = csc x

The factor Ae-a in an equation such as y = Ae-at cos bt

An identity involving a trigonometric function of 2u

A method for solving equations in the form x 2 = k.

The line through the focus and perpendicular to the directrix of a conic.

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Side opposite the right angle in a right triangle.

See Complex plane.

A line over which a graph is the mirror image of itself

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

A boxplot with the outliers removed.

T1t2 = Tm + 1T0 - Tm2e-kt

A function in which each element of the range corresponds to exactly one element in the domain

There are nPr = n!1n - r2! such permutations

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

A set of points in Cartesian space equally distant from a fixed point called the center.

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.