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Solutions for Chapter 10.2: Calculus: Early Transcendentals 1st Edition

Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Solutions for Chapter 10.2

Solutions for Chapter 10.2
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ISBN: 9780321570567

This expansive textbook survival guide covers the following chapters and their solutions. Since 106 problems in chapter 10.2 have been answered, more than 41126 students have viewed full step-by-step solutions from this chapter. Chapter 10.2 includes 106 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321570567.

Key Calculus Terms and definitions covered in this textbook
• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Double-blind experiment

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Order of an m x n matrix

The order of an m x n matrix is m x n.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

• 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.

• 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.

• Semimajor axis

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

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Vertex of a cone

See Right circular cone.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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