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# Solutions for Chapter 12.1: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 12.1

Solutions for Chapter 12.1
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##### ISBN: 9780321884077

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. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Chapter 12.1 includes 66 full step-by-step solutions. Since 66 problems in chapter 12.1 have been answered, more than 217370 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Closed interval

An interval that includes its endpoints

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Eccentricity

A nonnegative number that specifies how off-center the focus of a conic is

• Finite sequence

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

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Instantaneous velocity

The instantaneous rate of change of a position function with respect to time, p. 737.

See Polynomial function in x

• Lower bound test for real zeros

A test for finding a lower bound for the real zeros of a polynomial

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• 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.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Proportional

See Power function

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Semimajor axis

The distance from the center to a vertex of an ellipse.

• 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

• Standard deviation

A measure of how a data set is spread

• Stemplot (or stem-and-leaf plot)

An arrangement of a numerical data set into a specific tabular format.

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.