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# Solutions for Chapter 10.4: Polar Coordinates and Polar Graphs

## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245

Solutions for Chapter 10.4: Polar Coordinates and Polar Graphs

Solutions for Chapter 10.4
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##### ISBN: 9780618606245

Chapter 10.4: Polar Coordinates and Polar Graphs includes 118 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. Since 118 problems in chapter 10.4: Polar Coordinates and Polar Graphs have been answered, more than 39027 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Aphelion

The farthest point from the Sun in a planet’s orbit

• Distance (in Cartesian space)

The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Independent variable

Variable representing the domain value of a function (usually x).

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Outliers

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

• Polynomial interpolation

The process of fitting a polynomial of degree n to (n + 1) points.

• Pythagorean

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

• Range of a function

The set of all output values corresponding to elements in the domain.

• Real part of a complex number

See Complex number.

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Resistant measure

A statistical measure that does not change much in response to outliers.

• Response variable

A variable that is affected by an explanatory variable.

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Transformation

A function that maps real numbers to real numbers.

• Zero factorial

See n factorial.

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