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Functions Modeling Change: A Preparation for Calculus 5th Edition - Solutions by Chapter
Full solutions for Functions Modeling Change: A Preparation for Calculus | 5th Edition
Functions Modeling Change: A Preparation for Calculus | 5th Edition - Solutions by ChapterGet Full Solutions
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.
Components of a vector
See Component form of a vector.
Division algorithm for polynomials
Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2
Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.
Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers
Linear inequality in two variables x and y
An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0
A system of linear equations
See Additive inverse of a real number and Additive inverse of a complex number.
A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.
Principle of mathematical induction
A principle related to mathematical induction.
Product of complex numbers
(a + bi)(c + di) = (ac - bd) + (ad + bc)i
Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random
The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle
Two points that are symmetric with respect to a lineor a point.
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically
Sum of a finite geometric series
Sn = a111 - r n 2 1 - r
See Horizontal translation, Vertical translation.
Vertex of an angle
The x-value of the right side of the viewing window,.