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# Solutions for Chapter 3.3: Increasing and Decreasing Functions and the First Derivative Test ## Full solutions for Calculus | 9th Edition

ISBN: 9780547167022 Solutions for Chapter 3.3: Increasing and Decreasing Functions and the First Derivative Test

Solutions for Chapter 3.3
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##### ISBN: 9780547167022

Chapter 3.3: Increasing and Decreasing Functions and the First Derivative Test includes 108 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus , edition: 9. Since 108 problems in chapter 3.3: Increasing and Decreasing Functions and the First Derivative Test have been answered, more than 61206 students have viewed full step-by-step solutions from this chapter. Calculus was written by and is associated to the ISBN: 9780547167022.

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

See Magnitude of a vector.

• Arccosecant function

See Inverse cosecant function.

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Coordinate plane

See Cartesian coordinate system.

• Demand curve

p = g(x), where x represents demand and p represents price

• Determinant

A number that is associated with a square matrix

• Dihedral angle

An angle formed by two intersecting planes,

• DMS measure

The measure of an angle in degrees, minutes, and seconds

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Intercept

Point where a curve crosses the x-, y-, or z-axis in a graph.

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Parametrization

A set of parametric equations for a curve.

• Random behavior

Behavior that is determined only by the laws of probability.

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Semimajor axis

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

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

• Ymax

The y-value of the top of the viewing window.

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