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

## Full solutions for Calculus:Early Transcendentals | 7th Edition

ISBN: 9780131569898

Solutions for Chapter 13

Solutions for Chapter 13
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##### ISBN: 9780131569898

Calculus:Early Transcendentals was written by and is associated to the ISBN: 9780131569898. Chapter 13 includes 59 full step-by-step solutions. Since 59 problems in chapter 13 have been answered, more than 6420 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus:Early Transcendentals, edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Average rate of change of ƒ over [a, b]

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

• Conic section (or conic)

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

• Dependent event

An event whose probability depends on another event already occurring

• Derivative of ƒ

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

• Direction vector for a line

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

• Division algorithm for polynomials

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

• Exponent

See nth power of a.

• Exponential regression

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

• Finite series

Sum of a finite number of terms.

• Head minus tail (HMT) rule

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

• Horizontal shrink or stretch

See Shrink, stretch.

• Inductive step

See Mathematical induction.

• Limit at infinity

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

• Linear equation in x

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

• Local maximum

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

• Multiplication property of inequality

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

• Remainder polynomial

See Division algorithm for polynomials.

• Simple harmonic motion

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

• Vertical line

x = a.

• Xmin

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

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