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# Solutions for Chapter 5.1: Introduction: Areas and Volumes ## Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652 Solutions for Chapter 5.1: Introduction: Areas and Volumes

Solutions for Chapter 5.1
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##### ISBN: 9780321780652

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.1: Introduction: Areas and Volumes includes 16 full step-by-step solutions. Since 16 problems in chapter 5.1: Introduction: Areas and Volumes have been answered, more than 12650 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Vector Calculus was written by and is associated to the ISBN: 9780321780652.

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

An angle whose measure is between 0° and 90°

• 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 continuously

Interest compounded using the formula A = Pert

• Convenience sample

A sample that sacrifices randomness for convenience

• Divisor of a polynomial

See Division algorithm for polynomials.

• Identity properties

a + 0 = a, a ? 1 = a

• Index of summation

See Summation notation.

• Inductive step

See Mathematical induction.

• Inferential statistics

Using the science of statistics to make inferences about the parameters in a population from a sample.

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

An equation that can be written in the form ax 2 + bx + c = 01a ? 02

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

• Slope

Ratio change in y/change in x

• System

A set of equations or inequalities.

• Variable

A letter that represents an unspecified number.

• Variation

See Power function.

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