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# Solutions for Chapter 4.2: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 4.2

Solutions for Chapter 4.2
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##### ISBN: 9780321884077

Chapter 4.2 includes 78 full step-by-step solutions. 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: 13. Since 78 problems in chapter 4.2 have been answered, more than 88519 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077.

Key Calculus Terms and definitions covered in this textbook
• Coterminal angles

Two angles having the same initial side and the same terminal side

• 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

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Index of summation

See Summation notation.

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Parametric curve

The graph of parametric equations.

• Pie chart

See Circle graph.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

• Random behavior

Behavior that is determined only by the laws of probability.

• 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.

• Reference angle

See Reference triangle

• Row operations

See Elementary row operations.

• Singular matrix

A square matrix with zero determinant

• Transformation

A function that maps real numbers to real numbers.

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