Solutions for Chapter 13: Calculus:Early Transcendentals 7th Edition

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

A curve obtained by intersecting a double-napped right circular cone with a plane

An event whose probability depends on another event already occurring

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

A vector in the direction of a line in three-dimensional space

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

See nth power of a.

A procedure for fitting an exponential function to a set of data.

Sum of a finite number of terms.

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

See Shrink, stretch.

See Mathematical induction.

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

See Division algorithm for polynomials.

Motion described by d = a sin wt or d = a cos wt

x = a.

The x-value of the left side of the viewing window,.