- 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
Additive identity for the complex numbers
0 + 0i is the complex number zero
Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point
The two separate curves that make up a hyperbola
Complex numbers a + bi and a - bi
A sample that sacrifices randomness for convenience
The function y = cot x
Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution
Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined
Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis
A procedure for fitting an exponential function to a set of data.
Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b
Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)
A function in which each element of the range corresponds to exactly one element in the domain
An arrangement of elements of a set, in which order is important.
The process of fitting a polynomial of degree n to (n + 1) points.
A square matrix with zero determinant
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically
Vertex of a cone
See Right circular cone.
x = a.
A matrix consisting entirely of zeros.