- 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
Absolute value of a real number
Denoted by |a|, represents the number a or the positive number -a if a < 0.
Absolute value of a vector
See Magnitude of a vector.
Speed of rotation, typically measured in radians or revolutions per unit time
A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses
A logarithm with base 10.
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists
Directed line segment
See Mathematical induction.
Integrable over [a, b] Lba
ƒ1x2 dx exists.
Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ
Any of the real numbers in a matrix
Multiplicative identity for matrices
See Identity matrix
Real numbers shown to the left of the origin on a number line.
A set of parametric equations for a curve.
The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.
Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt
The function y = sin x.
Vertical line test
A test for determining whether a graph is a function.
A point that lies on both the graph and the x-axis,.
The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.
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