- Chapter 1: Functions and Limits
- Chapter 10: Vectors and the Geometry of Space
- Chapter 11: Partial Derivatives
- Chapter 12: Multiple Integrals
- Chapter 13: Vector Calculus
- Chapter 2: Derivatives
- Chapter 3: Applications of Differentiation
- Chapter 4: Integrals
- Chapter 5: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
- Chapter 6: Techniques of Integration
- Chapter 7: Applications of Integration
- Chapter 8: Series
- Chapter 9: Parametric Equations and Polar Coordinates
Essential Calculus 2nd Edition - Solutions by Chapter
Full solutions for Essential Calculus | 2nd Edition
Additive inverse of a complex number
The opposite of a + bi, or -a - bi
Average rate of change of ƒ over [a, b]
The number ƒ(b) - ƒ(a) b - a, provided a ? b.
Components of a vector
See Component form of a vector.
A sample that sacrifices randomness for convenience
Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space
Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists
Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2
Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).
Reciprocal of the period of a sinusoid.
The complex number.
See Mathematical induction.
The final digit of a number in a stemplot.
A graph of data in which consecutive data points are connected by line segments
Linear regression line
The line for which the sum of the squares of the residuals is the smallest possible
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.
Projection of u onto v
The vector projv u = au # vƒvƒb2v
Range (in statistics)
The difference between the greatest and least values in a data set.
A circle with radius 1 centered at the origin.
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.