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# Solutions for Chapter 14.3: Change of Variables: Polar Coordinates ## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245 Solutions for Chapter 14.3: Change of Variables: Polar Coordinates

Solutions for Chapter 14.3
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##### ISBN: 9780618606245

Since 61 problems in chapter 14.3: Change of Variables: Polar Coordinates have been answered, more than 45285 students have viewed full step-by-step solutions from this chapter. Chapter 14.3: Change of Variables: Polar Coordinates includes 61 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245.

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

See Magnitude of a vector.

• Arithmetic sequence

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

• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• 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.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Common ratio

See Geometric sequence.

• Cone

See Right circular cone.

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• 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

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Range screen

See Viewing window.

• Sine

The function y = sin x.

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• x-intercept

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

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