- Chapter 1: The Geometry of Euclidean Space
- Chapter 2: Differentiation
- Chapter 3: Higher-Order Derivatives:Maxima and Minima
- Chapter 4: Vector-Valued Functions
- Chapter 5: Double and Triple Integrals
- Chapter 6: The Change of Variables Formula and Applications of Integration
- Chapter 7: Integrals Over Paths and Surfaces
- Chapter 8: The Integral Theorems of Vector Analysis
Vector Calculus 6th Edition - Solutions by Chapter
Full solutions for Vector Calculus | 6th Edition
Basic logistic function
The function ƒ(x) = 1 / 1 + e-x
Compounded k times per year
Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.
A ratio equal to 1, used for unit conversion
Facts collected for statistical purposes (singular form is datum)
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant
Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.
a + 0 = a, a ? 1 = a
Inverse reflection principle
If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.
A local maximum or a local minimum
A boxplot with the outliers removed.
Multiplication principle of counting
A principle used to find the number of ways an event can occur.
A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).
The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.
tan ?= sin ?cos ?and cot ?= cos ? sin ?
Shrink of factor c
A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.
Spiral of Archimedes
The graph of the polar curve.
Stemplot (or stem-and-leaf plot)
An arrangement of a numerical data set into a specific tabular format.
Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i
Symmetric difference quotient of ƒ at a
ƒ(x + h) - ƒ(x - h) 2h
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.