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# Solutions for Chapter 15.9: Triple Integrals in Spherical Coordinates ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 15.9: Triple Integrals in Spherical Coordinates

Solutions for Chapter 15.9
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##### ISBN: 9780538497909

Since 47 problems in chapter 15.9: Triple Integrals in Spherical Coordinates have been answered, more than 33466 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 15.9: Triple Integrals in Spherical Coordinates includes 47 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Compounded monthly

See Compounded k times per year.

• Dependent variable

Variable representing the range value of a function (usually y)

• equation of a hyperbola

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

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Frequency table (in statistics)

A table showing frequencies.

• Graph of an inequality in x and y

The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Implied domain

The domain of a function’s algebraic expression.

• Independent variable

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

• Initial value of a function

ƒ 0.

• Modified boxplot

A boxplot with the outliers removed.

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Supply curve

p = ƒ(x), where x represents production and p represents price

• Variation

See Power function.

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