 6.1: How do you define and calculate the volumes of solids by the method...
 6.2: How are the disk and washer methods for calculating volumes derived...
 6.3: Describe the method of cylindrical shells. Give an example.
 6.4: How do you find the length of the graph of a smooth function over a...
 6.5: How do you define and calculate the area of the surface swept out b...
 6.6: How do you define and calculate the work done by a variable force d...
 6.7: How do you locate the center of mass of a thin flat plate of mater...
 6.8: How do you locate the center of mass of a thin plate bounded by two...
Solutions for Chapter 6: University Calculus: Early Transcendentals 3rd Edition
Full solutions for University Calculus: Early Transcendentals  3rd Edition
ISBN: 9780321999580
Solutions for Chapter 6
Get Full SolutionsSince 8 problems in chapter 6 have been answered, more than 6652 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6 includes 8 full stepbystep solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321999580. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals, edition: 3.

Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles

Cardioid
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

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

Cone
See Right circular cone.

Double inequality
A statement that describes a bounded interval, such as 3 ? x < 5

Focal length of a parabola
The directed distance from the vertex to the focus.

Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

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

Inverse secant function
The function y = sec1 x

Jump discontinuity at x a
limx:a  ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

Length of a vector
See Magnitude of a vector.

Magnitude of an arrow
The magnitude of PQ is the distance between P and Q

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

Normal distribution
A distribution of data shaped like the normal curve.

Obtuse triangle
A triangle in which one angle is greater than 90°.

Phase shift
See Sinusoid.

Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

Real number line
A horizontal line that represents the set of real numbers.

Sample survey
A process for gathering data from a subset of a population, usually through direct questioning.

Solve algebraically
Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator