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Essential Calculus 2nd Edition - Solutions by Chapter
Full solutions for Essential Calculus | 2nd Edition
A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable
An angle whose vertex is the center of a circle
Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)
An event whose probability depends on another event already occurring
A method of solving a system of n linear equations in n unknowns.
Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.
Instantaneous rate of change
See Derivative at x = a.
Left-hand limit of f at x a
The limit of ƒ as x approaches a from the left.
Any of the real numbers in a matrix
One-to-one rule of exponents
x = y if and only if bx = by.
One-to-one rule of logarithms
x = y if and only if logb x = logb y.
Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.
Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02
A function that assigns real-number values to the outcomes in a sample space.
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.
Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator
The magnitude of the velocity vector, given by distance/time.
Sum of a finite geometric series
Sn = a111 - r n 2 1 - r
A point that lies on both the graph and the x-axis,.