- 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: Transcendental Functions
- Chapter 8: Techniques of Integration
- Chapter 9: First-Order Differential Equations
Thomas' Calculus 12th Edition - Solutions by Chapter
Full solutions for Thomas' Calculus | 12th Edition
Acceleration due to gravity
g ? 32 ft/sec2 ? 9.8 m/sec
Additive inverse of a real number
The opposite of b , or -b
The change in position divided by the change in time.
An interval that has finite length (does not extend to ? or -?)
See Compound fraction.
The function y = cos x
A statement that describes a bounded interval, such as 3 ? x < 5
Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.
The left side of u(v + w) = uv + uw.
Reciprocal of the period of a sinusoid.
NINT (ƒ(x), x, a, b)
A calculator approximation to ?ab ƒ(x)dx
Partial fraction decomposition
See Partial fractions.
The principle of experimental design that makes it possible to use the laws of probability when making inferences.
Reduced row echelon form
A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.
The x-value of the left side of the viewing window,.
The y-value of the top of the viewing window.
The vector <0,0> or <0,0,0>.
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