# Solutions for Chapter 8.5: Thomas' Calculus: Early Transcendentals 13th Edition

## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077

Solutions for Chapter 8.5

Solutions for Chapter 8.5
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##### ISBN: 9780321884077

Chapter 8.5 includes 60 full step-by-step solutions. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. Since 60 problems in chapter 8.5 have been answered, more than 35708 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: Thomas' Calculus: Early Transcendentals , edition: 13th.

Key Calculus Terms and definitions covered in this textbook
• Arcsine function

See Inverse sine function.

• Compounded monthly

See Compounded k times per year.

• Cycloid

The graph of the parametric equations

• Derivative of ƒ at x a

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

• Directed line segment

See Arrow.

• Divisor of a polynomial

See Division algorithm for polynomials.

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Factored form

The left side of u(v + w) = uv + uw.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• 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

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Position vector of the point (a, b)

The vector <a,b>.

The graph in three dimensions of a seconddegree equation in three variables.

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• xz-plane

The points x, 0, z in Cartesian space.

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