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# Solutions for Chapter 4.2: Extrema of Functions ## Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652 Solutions for Chapter 4.2: Extrema of Functions

Solutions for Chapter 4.2
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##### ISBN: 9780321780652

This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Since 53 problems in chapter 4.2: Extrema of Functions have been answered, more than 12500 students have viewed full step-by-step solutions from this chapter. Chapter 4.2: Extrema of Functions includes 53 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Vector Calculus was written by and is associated to the ISBN: 9780321780652.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Commutative properties

a + b = b + a ab = ba

• Distance (on a number line)

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

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Newton’s law of cooling

T1t2 = Tm + 1T0 - Tm2e-kt

• Nonsingular matrix

A square matrix with nonzero determinant

• Open interval

An interval that does not include its endpoints.

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Pole

See Polar coordinate system.

• Positive linear correlation

See Linear correlation.

• Quartic regression

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

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Real number line

A horizontal line that represents the set of real numbers.

• Real zeros

Zeros of a function that are real numbers.

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Right triangle

A triangle with a 90° angle.

• Standard form of a polynomial function

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

• Tangent line of ƒ at x = a

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

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