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# Solutions for Chapter 2.5: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 2.5

Solutions for Chapter 2.5
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##### ISBN: 9780321884077

Chapter 2.5 includes 78 full step-by-step solutions. 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. Since 78 problems in chapter 2.5 have been answered, more than 82921 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
• Arccosine function

See Inverse cosine function.

• Coordinate plane

See Cartesian coordinate system.

• DMS measure

The measure of an angle in degrees, minutes, and seconds

• Event

A subset of a sample space.

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Initial point

See Arrow.

• Inverse cosine function

The function y = cos-1 x

• Inverse cotangent function

The function y = cot-1 x

• 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

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• Negative numbers

Real numbers shown to the left of the origin on a number line.

• 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.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Statute mile

5280 feet.

• Vertical component

See Component form of a vector.

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