- 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
- Chapter 6: TECHNIQUES OF INTEGRATION
- Chapter 7: APPLICATIONS OF INTEGRATION
- Chapter 8: SERIES
- Chapter 9: PARAMETRIC EQUATIONS AND POLAR COORDINATES
Essential Calculus (Available Titles CengageNOW) 1st Edition - Solutions by Chapter
Full solutions for Essential Calculus (Available Titles CengageNOW) | 1st Edition
Essential Calculus (Available Titles CengageNOW) | 1st Edition - Solutions by ChapterGet Full Solutions
Addition principle of probability.
P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)
Components of a vector
See Component form of a vector.
Composition of functions
(f ? g) (x) = f (g(x))
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
Arrows that have the same magnitude and direction.
A statement that compares two quantities using an inequality symbol
Instantaneous rate of change
See Derivative at x = a.
Law of cosines
a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C
Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.
Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.
An angle in standard position whose terminal side lies on an axis.
Reflection across the y-axis
x, y and (-x,y) are reflections of each other across the y-axis.
The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.
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.
Sample standard deviation
The standard deviation computed using only a sample of the entire population.
The function y = sec x.
A number that measures a quantitative variable for a sample from a population.
Terminal side of an angle
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.