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- Chapter 9:
Single Variable Calculus 7th Edition - Solutions by Chapter
Full solutions for Single Variable Calculus | 7th Edition
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.
Arc length formula
The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.
A third variable that affects either of two variables being studied, making inferences about causation unreliable
The function y = cot x
Two angles having the same initial side and the same terminal side
The graph of the parametric equations
Derivative of ƒ at x a
ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists
A method of solving a system of linear equations
A variable that affects a response variable.
Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.
Multiplication principle of counting
A principle used to find the number of ways an event can occur.
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.
An expression that can be written as a ratio of two polynomials.
A set of ordered pairs of real numbers.
Root of an equation
Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.
Semiperimeter of a triangle
One-half of the sum of the lengths of the sides of a triangle.
Symmetric property of equality
If a = b, then b = a
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.
The vector <0,0> or <0,0,0>.