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# Solutions for Chapter 6.2: Determining Volumes by Slicing

## Full solutions for Calculus Volume 1 | 18th Edition

ISBN: 9781938168024

Solutions for Chapter 6.2: Determining Volumes by Slicing

Solutions for Chapter 6.2
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##### ISBN: 9781938168024

Summary of Chapter 6.2: Determining Volumes by Slicing

Determine the volume of a solid by integrating a cross-section (the slicing method). Find the volume of a solid of revolution using the disk method. Find the volume of a solid of revolution with a cavity using the washer method.

Chapter 6.2: Determining Volumes by Slicing includes 56 full step-by-step solutions. Calculus Volume 1 was written by Aimee Notetaker and is associated to the ISBN: 9781938168024. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus Volume 1, edition: 18. Since 56 problems in chapter 6.2: Determining Volumes by Slicing have been answered, more than 14322 students have viewed full step-by-step solutions from this chapter.

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

A polynomial with exactly two terms

• Combination

An arrangement of elements of a set, in which order is not important

• 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)

• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• Exponential form

An equation written with exponents instead of logarithms.

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Perpendicular lines

Two lines that are at right angles to each other

• Present value of an annuity T

he net amount of your money put into an annuity.

• Reflection across the y-axis

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

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Unit ratio

See Conversion factor.

• Viewing window

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