Calculus: Concepts and Applications 2nd Edition - Solutions by Chapter

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

The angle formed by two nonzero vectors sharing a common initial point

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Graphing calculator or a computer with graphing software.

See Component form of a vector.

The complex number.

If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

The closest point to the Sun in a planet’s orbit.

Two lines that are at right angles to each other

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

See Viewing window.

See Division algorithm for polynomials.

See Principal nth root.

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

A number that measures a quantitative variable for a sample from a population.

p = ƒ(x), where x represents production and p represents price

ƒ(x) = a(x - h)2 + k

See Weighted mean.