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# Solutions for Chapter 9.5: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 9.5

Solutions for Chapter 9.5
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##### ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This expansive textbook survival guide covers the following chapters and their solutions. Since 14 problems in chapter 9.5 have been answered, more than 82544 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Chapter 9.5 includes 14 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Cycloid

The graph of the parametric equations

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Direction vector for a line

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

• Double-blind experiment

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Inverse cosine function

The function y = cos-1 x

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Polar axis

See Polar coordinate system.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Series

A finite or infinite sum of terms.

• Terms of a sequence

The range elements of a sequence.

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

• Vertical translation

A shift of a graph up or down.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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