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# Solutions for Chapter 12: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 12

Solutions for Chapter 12
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##### ISBN: 9780321884077

Chapter 12 includes 118 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 118 problems in chapter 12 have been answered, more than 81968 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
• Acceleration due to gravity

g ? 32 ft/sec2 ? 9.8 m/sec

• Boundary

The set of points on the “edge” of a region

• Conditional probability

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

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• Factoring (a polynomial)

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

• Imaginary axis

See Complex plane.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Inferential statistics

Using the science of statistics to make inferences about the parameters in a population from a sample.

• Initial side of an angle

See Angle.

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• Odd function

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

A procedure for fitting a quadratic function to a set of data.

• Re-expression of data

A transformation of a data set.

• Real zeros

Zeros of a function that are real numbers.

• Rectangular coordinate system

See Cartesian coordinate system.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Translation

See Horizontal translation, Vertical translation.

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