Solutions for Chapter 3: Derivatives of Polynomials and Exponential Functions

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

An interval that has finite length (does not extend to ? or -?)

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

A measure of the strength of the linear relationship between two variables, pp. 146, 162.

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

The line through the focus and perpendicular to the directrix of a conic.

The number of individuals or observations with a certain characteristic.

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Using the science of statistics to make inferences about the parameters in a population from a sample.

A special case of a limit that does not exist.

The function y = sin-1 x

limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

Angle generated by clockwise rotation.

The number with n factors of a , where n is the exponent and a is the base.

The vector projv u = au # vƒvƒb2v

(x - h)2 + (y - k2) = r 2

A function that maps real numbers to real numbers.

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

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