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# Solutions for Chapter 3.3: Increasmg and Decreasing Functions and the First Derivative Test

## Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 3.3: Increasmg and Decreasing Functions and the First Derivative Test

Solutions for Chapter 3.3
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##### ISBN: 9780618149162

Chapter 3.3: Increasmg and Decreasing Functions and the First Derivative Test includes 79 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Since 79 problems in chapter 3.3: Increasmg and Decreasing Functions and the First Derivative Test have been answered, more than 23505 students have viewed full step-by-step solutions from this chapter. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Coefficient matrix

A matrix whose elements are the coefficients in a system of linear equations

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Compounded monthly

See Compounded k times per year.

• Convenience sample

A sample that sacrifices randomness for convenience

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

• Five-number summary

The minimum, first quartile, median, third quartile, and maximum of a data set.

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Horizontal component

See Component form of a vector.

• Least-squares line

See Linear regression line.

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Parameter

See Parametric equations.

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Standard form of a polynomial function

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

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

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