Solutions for Chapter 14.6: Triple Integrals and Applications

Interest that becomes part of the investment

The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

Systems of equations that have the same solution.

Connected subset of the real number line with at least two points, p. 4.

The function y = sin-1 x

The order of an m x n matrix is m x n.

See Sequence of partial sums.

The measure of acidity

A procedure for fitting a curve y = a . x b to a set of data.

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

Zeros of a function that are real numbers.

x, y and (x,-y) are reflections of each other across the x-axis.

A square matrix with zero determinant

A procedure used to divide a polynomial by a linear factor, x - a

The range elements of a sequence.

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

See Power function.

The points x, 0, z in Cartesian space.

A matrix consisting entirely of zeros.