Solutions for Chapter 11: Conic Sections

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

The central point in a circle, ellipse, hyperbola, or sphere

A letter or symbol that stands for a specific number,

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

An identity involving a trigonometric function of u - v

See Polar coordinates.

A surface generated by rotating an ellipse about its major axis

A statement of equality between two expressions.

An equation written with exponents instead of logarithms.

See Complex number.

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

See Identity matrix

A complex number v such that vn = 1

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

See Power function

A horizontal line that represents the set of real numbers.

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

A measure of how a data set is spread

The y-value of the top of the viewing window.