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Essential Calculus 2nd Edition - Solutions by Chapter
Full solutions for Essential Calculus | 2nd Edition
artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers
Measure of the clockwise angle that the line of travel makes with due north
Constant of variation
See Power function.
Facts collected for statistical purposes (singular form is datum)
Domain of a function
The set of all input values for a function
Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.
Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.
A statement that compares two quantities using an inequality symbol
Intermediate Value Theorem
If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).
Inverse of a matrix
The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.
Law of cosines
a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C
Linear regression line
The line for which the sum of the squares of the residuals is the smallest possible
Order of magnitude (of n)
A pair of real numbers (x, y), p. 12.
See Sequence of partial sums.
Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02
Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true
The points (0, y, z) in Cartesian space.
Zero factor property
If ab = 0 , then either a = 0 or b = 0.