 14.3.50E: Work from graphs Determine whether ?CF·dr along the paths C1 and C2...
 14.3.33E: Line integrals of vector fields on closed curves Evaluate for the f...
 14.3.30E: Evaluating line integrals Evaluate the line integral for the follow...
 14.3.29E: Evaluating line integrals Evaluate the line integral for the follow...
 14.3.56AE: Linear and quadratic vector fieldsa. For what values of a, b, c, an...
 14.3.49E: Work from graphs Determine whether ?CF·dr along the paths C1 and C2...
 14.3.28E: Evaluating line integrals Evaluate the line integral for the follow...
 14.3.31E: Evaluating line integrals Evaluate the line integral for the follow...
 14.3.1E: Explain with pictures what is meant by a simple curve and a closed ...
 14.3.2E: Explain with pictures what is meant by a connected region and a sim...
 14.3.3E: How do you determine whether a vector field in ?2 is conservative (...
 14.3.4E: How do you determine whether a vector field in?3 is conservative?
 14.3.5E: Briefly describe how to find a potential function ? for a conservat...
 14.3.6E: If F is a conservative vector field on a region R, how do you evalu...
 14.3.14E: Testing for conservative vector fields Determine whether the follow...
 14.3.7E: If F is a conservative vector field on a region R, what is the valu...
 14.3.10E: Testing for conservative vector fields Determine whether the follow...
 14.3.11E: Testing for conservative vector fields Determine whether the follow...
 14.3.12E: Testing for conservative vector fields Determine whether the follow...
 14.3.16E: Finding potential functions Determine whether the following vector ...
 14.3.17E: Finding potential functions Determine whether the following vector ...
 14.3.18E: Finding potential functions Determine whether the following vector ...
 14.3.19E: Finding potential functions Determine whether the following vector ...
 14.3.20E: Finding potential functions Determine whether the following vector ...
 14.3.21E: Finding potential functions Determine whether the following vector ...
 14.3.22E: Finding potential functions Determine whether the following vector ...
 14.3.23E: Finding potential functions Determine whether the following vector ...
 14.3.24E: Finding potential functions Determine whether the following vector ...
 14.3.25E: Finding potential functions Determine whether the following vector ...
 14.3.26E: Finding potential functions Determine whether the following vector ...
 14.3.27E: Evaluating line integrals Evaluate the line integral for the follow...
 14.3.34E: Line integrals of vector fields on closed curves Evaluate for the f...
 14.3.35E: Line integrals of vector fields on closed curves Evaluate for the f...
 14.3.36E: Line integrals of vector fields on closed curves Evaluate for the f...
 14.3.37E: Line integrals of vector fields on closed curves Evaluate for the f...
 14.3.38E: Line integrals of vector fields on closed curves Evaluate for the f...
 14.3.39E: Explain why or why not Determine whether the following statements a...
 14.3.40E: Line integrals Evaluate the line integral using a method of your ch...
 14.3.41E: Line integrals Evaluate the line integral using a method of your ch...
 14.3.42E: Line integrals Evaluate the line integral using a method of your ch...
 14.3.43E: Line integrals Evaluate the line integral using a method of your ch...
 14.3.44E: Closed curve integrals Evaluate ,and ?Cdy, where C is the unit circ...
 14.3.45E: Work in force fields Find the work required to move an object in th...
 14.3.46E: Work in force fields Find the work required to move an object in th...
 14.3.47E: Work in force fields Find the work required to move an object in th...
 14.3.48E: Work in force fields Find the work required to move an object in th...
 14.3.8E: Give three equivalent properties of conservative vector fields.
 14.3.52E: Conservation of energy Suppose an object with mass m moves in a reg...
 14.3.53E: Gravitational potential The gravitational force between two point m...
 14.3.54AE: Radial fields in ?3 are conservative Prove that the radial field , ...
 14.3.55AE: Rotation fields are usually not conservativea. Prove that the rotat...
 14.3.51E: Work by a constant force Evaluate a line integral to show that the ...
 14.3.57AE: Alternative construction of potential functions in ?2 Assume that t...
 14.3.58AE: Alternative construction of potential functions Use the procedure i...
 14.3.59AE: Alternative construction of potential functions Use the procedure i...
 14.3.60AE: Alternative construction of potential functions Use the procedure i...
 14.3.61AE: Alternative construction of potential functions Use the procedure i...
 14.3.32E: Evaluating line integrals Evaluate the line integral for the follow...
 14.3.9E: Testing for conservative vector fields Determine whether the follow...
 14.3.13E: Testing for conservative vector fields Determine whether the follow...
 14.3.15E: Finding potential functions Determine whether the following vector ...
Solutions for Chapter 14.3: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 14.3
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 14.3 includes 61 full stepbystep solutions. Since 61 problems in chapter 14.3 have been answered, more than 134776 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point

Backtoback stemplot
A stemplot with leaves on either side used to compare two distributions.

Bar chart
A rectangular graphical display of categorical data.

Bounded below
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

Completing the square
A method of adding a constant to an expression in order to form a perfect square

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

Equivalent arrows
Arrows that have the same magnitude and direction.

Factored form
The left side of u(v + w) = uv + uw.

Identity
An equation that is always true throughout its domain.

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Negative linear correlation
See Linear correlation.

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Quadratic regression
A procedure for fitting a quadratic function to a set of data.

Real axis
See Complex plane.

Remainder polynomial
See Division algorithm for polynomials.

Solve a system
To find all solutions of a system.

Solve a triangle
To find one or more unknown sides or angles of a triangle

Stemplot (or stemandleaf plot)
An arrangement of a numerical data set into a specific tabular format.