×

×

# Solutions for Chapter 14: Vector Calculus

## Full solutions for Calculus:Early Transcendentals | 7th Edition

ISBN: 9780131569898

Solutions for Chapter 14: Vector Calculus

Solutions for Chapter 14
4 5 0 296 Reviews
30
0
##### ISBN: 9780131569898

Summary of Chapter 14: Vector Calculus

Vector calculus, or vector analysis, is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space ?³.

Since 33 problems in chapter 14: Vector Calculus have been answered, more than 40425 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus:Early Transcendentals, edition: 7. Chapter 14: Vector Calculus includes 33 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus:Early Transcendentals was written by and is associated to the ISBN: 9780131569898.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• Angular speed

Speed of rotation, typically measured in radians or revolutions per unit time

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Elements of a matrix

See Matrix element.

• Equation

A statement of equality between two expressions.

• Horizontal translation

A shift of a graph to the left or right.

• Infinite limit

A special case of a limit that does not exist.

• Initial side of an angle

See Angle.

• Inverse function

The inverse relation of a one-to-one function.

• Inverse reflection principle

If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• Open interval

An interval that does not include its endpoints.

• Paraboloid of revolution

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

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Reflexive property of equality

a = a

• Removable discontinuity at x = a

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

• Root of an equation

A solution.

• Tree diagram

A visualization of the Multiplication Principle of Probability.