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# Solutions for Chapter 10.3: Polar Coordinates

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 10.3: Polar Coordinates

Solutions for Chapter 10.3
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##### ISBN: 9781305270336

Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 78 problems in chapter 10.3: Polar Coordinates have been answered, more than 39806 students have viewed full step-by-step solutions from this chapter. Chapter 10.3: Polar Coordinates includes 78 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Acute angle

An angle whose measure is between 0° and 90°

• Axis of symmetry

See Line of symmetry.

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Eccentricity

A nonnegative number that specifies how off-center the focus of a conic is

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• Graph of parametric equations

The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

• Limit to growth

See Logistic growth function.

• Multiplicative inverse of a real number

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

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• Octants

The eight regions of space determined by the coordinate planes.

• Present value of an annuity T

he net amount of your money put into an annuity.

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

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

• Real number line

A horizontal line that represents the set of real numbers.

• Unit circle

A circle with radius 1 centered at the origin.

• Weights

See Weighted mean.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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