- Chapter 1: Functions
- Chapter 10: Infinite Sequences and Series
- Chapter 11: Parametric Equations and Polar Coordinates
- Chapter 12: Vectors and the Geometry of Space
- Chapter 13: Vector-Valued Functions and Motion in Space
- Chapter 14: Partial Derivatives
- Chapter 15: Multiple Integrals
- Chapter 16: Integration in Vector Fields
- Chapter 2: Limits and Continuity
- Chapter 3: Differentiation
- Chapter 4: Applications of Derivatives
- Chapter 5: Integration
- Chapter 6: Applications of Definite Integrals
- Chapter 7: Integrals and Transcendental Functions
- Chapter 8: Techniques of Integration
- Chapter 9: First-Order Differential Equations
Thomas' Calculus Early Transcendentals 12th Edition - Solutions by Chapter
Full solutions for Thomas' Calculus Early Transcendentals | 12th Edition
Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!
A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.
A fractional expression in which the numerator or denominator may contain fractions
See Polynomial function
The function y = csc x
The behavior of a graph of a function as.
A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.
Points that satisfy the constraints in a linear programming problem.
Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.
Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.
Left-hand limit of f at x a
The limit of ƒ as x approaches a from the left.
Multiplication property of equality
If u = v and w = z, then uw = vz
A square matrix with nonzero determinant
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.
Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true
Standard form of a polynomial function
ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0
Stemplot (or stem-and-leaf plot)
An arrangement of a numerical data set into a specific tabular format.
The square of the standard deviation.
Vertical stretch or shrink
See Stretch, Shrink.
Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or firstname.lastname@example.org
Forgot password? Reset it here