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# Solutions for Chapter 3.11: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 3.11

Solutions for Chapter 3.11
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##### ISBN: 9780321884077

Chapter 3.11 includes 74 full step-by-step solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since 74 problems in chapter 3.11 have been answered, more than 67820 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. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Arctangent function

See Inverse tangent function.

• Composition of functions

(f ? g) (x) = f (g(x))

• Compound interest

Interest that becomes part of the investment

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Dependent event

An event whose probability depends on another event already occurring

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• Five-number summary

The minimum, first quartile, median, third quartile, and maximum of a data set.

• Inductive step

See Mathematical induction.

• Inverse cosine function

The function y = cos-1 x

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• Logarithmic form

An equation written with logarithms instead of exponents

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Nappe

See Right circular cone.

• Parameter interval

See Parametric equations.

• Position vector of the point (a, b)

The vector <a,b>.

• Rectangular coordinate system

See Cartesian coordinate system.

• Sum of an infinite series

See Convergence of a series

• Unit circle

A circle with radius 1 centered at the origin.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

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