 6.2.86: ?For the following exercises, draw the region bounded by the curves...
 6.2.87: ?For the following exercises, draw the region bounded by the curves...
 6.2.88: ?For the following exercises, draw the region bounded by the curves...
 6.2.89: ?For the following exercises, draw the region bounded by the curves...
 6.2.90: ?For the following exercises, draw the region bounded by the curves...
 6.2.91: ?For the following exercises, draw the region bounded by the curves...
 6.2.92: ?For the following exercises, draw the region bounded by the curves...
 6.2.93: ?For the following exercises, draw the region bounded by the curves...
 6.2.94: ?For the following exercises, draw the region bounded by the curves...
 6.2.95: ?For the following exercises, draw the region bounded by the curves...
 6.2.96: ?For the following exercises, draw the region bounded by the curves...
 6.2.97: ?For the following exercises, draw the region bounded by the curves...
 6.2.98: ?For the following exercises, draw the region bounded by the curves...
 6.2.99: ?For the following exercises, draw the region bounded by the curves...
 6.2.100: ?For the following exercises, draw the region bounded by the curves...
 6.2.101: ?For the following exercises, draw the region bounded by the curves...
 6.2.102: ?For the following exercises, draw the region bounded by the curves...
 6.2.103: ?Yogurt containers can be shaped like frustums. Rotate the line \(y...
 6.2.104: ?Rotate the ellipse \(\left(x^{2} / a^{2}\right)+\left(y^{2} / b^{2...
 6.2.105: ?Rotate the ellipse \(\left(x^{2} / a^{2}\right)+\left(y^{2} / b^{2...
 6.2.58: ?Derive the formula for the volume of a sphere using the slicing me...
 6.2.106: ?A better approximation of the volume of a football is given by the...
 6.2.59: ?Use the slicing method to derive the formula for the volume of a c...
 6.2.107: ?What is the volume of the Bundt cake that comes from rotating y = ...
 6.2.60: ?Use the slicing method to derive the formula for the volume of a t...
 6.2.108: ?The base is the region between y = x and \(y = x^{2}\) . Slices pe...
 6.2.61: ?Use the disk method to derive the formula for the volume of a trap...
 6.2.109: ?The base is the region enclosed by the generic ellipse\(\left(x^{2...
 6.2.62: ?Explain when you would use the disk method versus the washer metho...
 6.2.110: ?Bore a hole of radius a down the axis of a right cone and through ...
 6.2.63: ?For the following exercises, draw a typical slice and find the vol...
 6.2.111: ?Find the volume common to two spheres of radius r with centers tha...
 6.2.64: ?For the following exercises, draw a typical slice and find the vol...
 6.2.112: ?Find the volume of a spherical cap of height h and radius r where ...
 6.2.66: ?For the following exercises, draw a typical slice and find the vol...
 6.2.113: ?Find the volume of a sphere of radius R with a cap of height h rem...
 6.2.67: ?For the following exercises, draw a typical slice and find the vol...
 6.2.68: ?For the following exercises, draw an outline of the solid and find...
 6.2.69: ?For the following exercises, draw an outline of the solid and find...
 6.2.70: ?For the following exercises, draw an outline of the solid and find...
 6.2.71: ?For the following exercises, draw an outline of the solid and find...
 6.2.72: ?For the following exercises, draw an outline of the solid and find...
 6.2.73: ?For the following exercises, draw an outline of the solid and find...
 6.2.74: ?For the following exercises, draw the region bounded by the curves...
 6.2.75: ?For the following exercises, draw the region bounded by the curves...
 6.2.76: ?For the following exercises, draw the region bounded by the curves...
 6.2.77: ?For the following exercises, draw the region bounded by the curves...
 6.2.78: ?For the following exercises, draw the region bounded by the curves...
 6.2.79: ?For the following exercises, draw the region bounded by the curves...
 6.2.80: ?For the following exercises, draw the region bounded by the curves...
 6.2.81: ?For the following exercises, draw the region bounded by the curves...
 6.2.82: ?For the following exercises, draw the region bounded by the curves...
 6.2.83: ?For the following exercises, draw the region bounded by the curves...
 6.2.84: ?For the following exercises, draw the region bounded by the curves...
 6.2.85: ?For the following exercises, draw the region bounded by the curves...
 6.2.65: ?For the following exercises, draw a typical slice and find the vol...
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
Get Full SolutionsSummary of Chapter 6.2: Determining Volumes by Slicing
Determine the volume of a solid by integrating a crosssection (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 stepbystep 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 stepbystep solutions from this chapter.

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 zcomponents 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 yaxis
x, y and (x,y) are reflections of each other across the yaxis.

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].