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# Solutions for Chapter 4.1: LOCAL MAXIMA AND MINIMA

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 4.1: LOCAL MAXIMA AND MINIMA

Solutions for Chapter 4.1
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##### ISBN: 9781118174920

Chapter 4.1: LOCAL MAXIMA AND MINIMA includes 42 full step-by-step solutions. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Since 42 problems in chapter 4.1: LOCAL MAXIMA AND MINIMA have been answered, more than 6804 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Common logarithm

A logarithm with base 10.

• Data

Facts collected for statistical purposes (singular form is datum)

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Expanded form of a series

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

• Identity properties

a + 0 = a, a ? 1 = a

• Logarithmic form

An equation written with logarithms instead of exponents

• Outcomes

The various possible results of an experiment.

• Rational zeros

Zeros of a function that are rational numbers.

• Reciprocal function

The function ƒ(x) = 1x

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Spiral of Archimedes

The graph of the polar curve.

• Stemplot (or stem-and-leaf plot)

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

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• x-intercept

A point that lies on both the graph and the x-axis,.

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