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# Solutions for Chapter 7.2: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 7.2

Solutions for Chapter 7.2
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##### ISBN: 9780321884077

Chapter 7.2 includes 50 full step-by-step solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Since 50 problems in chapter 7.2 have been answered, more than 82912 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Addition property of equality

If u = v and w = z , then u + w = v + z

• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• artesian coordinate system

An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Inverse secant function

The function y = sec-1 x

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• Outcomes

The various possible results of an experiment.

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Symmetric property of equality

If a = b, then b = a

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• Vertical translation

A shift of a graph up or down.

• Xscl

The scale of the tick marks on the x-axis in a viewing window.

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