- 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 mate-r...
- 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
The case in which two sides and a nonincluded angle can determine two different triangles
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.
An arrangement of elements of a set, in which order is not important
See Right circular cone.
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.
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).
Using the science of statistics to make inferences about the parameters in a population from a sample.
Inverse secant function
The function y = sec-1 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
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.
A distribution of data shaped like the normal curve.
A triangle in which one angle is greater than 90°.
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.
A process for gathering data from a subset of a population, usually through direct questioning.
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