Thomas' Calculus: Early Transcendentals | 13th Edition - Solutions by Chapter

Get Full SolutionsKey Calculus Terms and also definitions extended in this textbook

**Addition principle of probcapacity.**

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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)

**Amplitude**

See Sinusoid.

**Angle of elevation**

The acute angle created by the line of sight (upward) and the horizontal

**Coefficient matrix**

A matrix whose elements are the coefficients in a system of direct equations

**Control**

The principle of experimental architecture that provides it possible to rule out various other components when making inferences about a particular explanatory variable

**Definite integral**

The definite integral of the function ƒ over is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x offered the limit of the Riemann sums exists

**Directed line segment**

See Arrow.

**Eccentricity**

A nonnegative number that specifies how off-center the focus of a conic is

**equation of a quadratic function**

ƒ(x) = ax 2 + bx + c(a ? 0)

**Hyperbola**

A collection of points in a airplane, the absolute worth of the difference of whose ranges from 2 fixed points (the foci) is a consistent.

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**Identity matrix**

A square matrix with 1’s in the main diagonal and 0’s in other places, p. 534.

**Inverse properties**

a + 1-a2 = 0, a # 1a

**Least-squares line**

See Liclose to regression line.

**Line of symmetry**

A line over which a graph is the mirror image of itself

**One-to-one ascendancy of exponents**

x = y if and only if bx = by.

**Principal nth root**

If bn = a, then b is an nth root of a. If bn = a and also a and b have actually the exact same authorize, b is the principal nth root of a (check out Radical), p. 508.

**Product of a scalar and also a vector**

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

**Standard deviation**

A meacertain of exactly how a data set is spread

**Standard form of a polar equation of a conic**

r = ke 1 e cos ? or r = ke 1 e sin ? ,