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# Solutions for Chapter 6.3: Volumes of Revolution ## Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885 Solutions for Chapter 6.3: Volumes of Revolution

Solutions for Chapter 6.3
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##### ISBN: 9781464114885

Chapter 6.3: Volumes of Revolution includes 64 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 64 problems in chapter 6.3: Volumes of Revolution have been answered, more than 41674 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885.

Key Calculus Terms and definitions covered in this textbook
• Arccosine function

See Inverse cosine function.

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Domain of a function

The set of all input values for a function

• equation of a hyperbola

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

• Event

A subset of a sample space.

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Natural logarithm

A logarithm with base e.

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Reflection across the y-axis

x, y and (-x,y) are reflections of each other across the y-axis.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Sine

The function y = sin x.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Speed

The magnitude of the velocity vector, given by distance/time.

• Statistic

A number that measures a quantitative variable for a sample from a population.

• Third quartile

See Quartile.

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Viewing window

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

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