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Get Full Access to Calculus - Textbook Survival Guide
Get Full Access to Calculus - Textbook Survival Guide

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# Solutions for Chapter 4.4: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 4.4

Solutions for Chapter 4.4
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##### ISBN: 9780321884077

This expansive textbook survival guide covers the following chapters and their solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since 128 problems in chapter 4.4 have been answered, more than 217704 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 4.4 includes 128 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Angle of elevation

The acute angle formed by the line of sight (upward) and the horizontal

• Arcsecant function

See Inverse secant function.

• Common ratio

See Geometric sequence.

• Conditional probability

The probability of an event A given that an event B has already occurred

• Domain of a function

The set of all input values for a function

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Hypotenuse

Side opposite the right angle in a right triangle.

• Inverse secant function

The function y = sec-1 x

• Jump discontinuity at x a

limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Limit

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

• nth root of a complex number z

A complex number v such that vn = z

• Polar axis

See Polar coordinate system.

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Random numbers

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Unit vector

Vector of length 1.

• Vertical line

x = a.