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# Solutions for Chapter 4.1: Calculus: Early Transcendentals 1st Edition

## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Solutions for Chapter 4.1

Solutions for Chapter 4.1
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##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since 55 problems in chapter 4.1 have been answered, more than 278720 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.1 includes 55 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Ellipsoid of revolution

A surface generated by rotating an ellipse about its major axis

• End behavior

The behavior of a graph of a function as.

• Equilibrium price

See Equilibrium point.

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Explanatory variable

A variable that affects a response variable.

• Intermediate Value Theorem

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

• Inverse cosecant function

The function y = csc-1 x

• Obtuse triangle

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

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Polynomial interpolation

The process of fitting a polynomial of degree n to (n + 1) points.

• Positive numbers

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

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Real zeros

Zeros of a function that are real numbers.

• Remainder polynomial

See Division algorithm for polynomials.

• Square matrix

A matrix whose number of rows equals the number of columns.

• Standard deviation

A measure of how a data set is spread

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Transpose of a matrix

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

• Variation

See Power function.