Solutions for Chapter 14: Partial Derivatives

A set of points in a plane equally distant from a fixed point called the center

See Arithmetic sequence.

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

The number of individuals or observations with a certain characteristic.

Ax + By + C = 0, where A and B are not both zero.

See Complex number.

A function whose domain is the set of all natural numbers.

ƒ1x2 dx exists.

sin A a = sin B b = sin C c

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

An equation in r and ?.

See Trigonometric form of a complex number.

Methods for solving systems of linear equations.

See Angle.

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

The scale of the tick marks on the y-axis in a viewing window.

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).