Solutions for Chapter 14.6: Triple Integrals and Applications

The annual interest rate

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

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

See Polar coordinates.

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

See nth power of a.

A method of solving a system of n linear equations in n unknowns.

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

The difference between the third quartile and the first quartile.

The function y = csc-1 x

a + 1-a2 = 0, a # 1a

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

A measure that tells how widely distributed data are.

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

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

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

The limit of ƒ as x approaches a from the right.

See n factorial.

A value in the domain of a function that makes the function value zero.