 1.1.1: In Exercises 14, decide whetlier ttie problem can be solved using ...
 1.1.2: In Exercises 14, decide whetlier ttie problem can be solved using ...
 1.1.3: In Exercises 14, decide whetlier ttie problem can be solved using ...
 1.1.4: In Exercises 14, decide whetlier ttie problem can be solved using ...
 1.1.5: In Exercises 5 and 6, find the area of the shaded region.
 1.1.6: In Exercises 5 and 6, find the area of the shaded region.
 1.1.7: In Exercises 7 and 8, find the volume of the solid shown.
 1.1.8: In Exercises 7 and 8, find the volume of the solid shown.
 1.1.9: (a) Use the list feature of a graphing utility to graph the followi...
 1.1.10: la) (Note: If you cannot use lists on your graphing utMity, graph V...
 1.1.11: Consider the length of the graph of fix) = 5/.v from (1.5) to (5, I...
Solutions for Chapter 1.1: A Preview of Calculus
Full solutions for Calculus of A Single Variable  7th Edition
ISBN: 9780618149162
Solutions for Chapter 1.1: A Preview of Calculus
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. Chapter 1.1: A Preview of Calculus includes 11 full stepbystep solutions. Since 11 problems in chapter 1.1: A Preview of Calculus have been answered, more than 23737 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Absolute maximum
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Extracting square roots
A method for solving equations in the form x 2 = k.

Frequency (in statistics)
The number of individuals or observations with a certain characteristic.

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.

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

Logarithmic form
An equation written with logarithms instead of exponents

Mathematical induction
A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

Mathematical model
A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

Matrix element
Any of the real numbers in a matrix

Parabola
The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

Pascal’s triangle
A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Response variable
A variable that is affected by an explanatory variable.

Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.

Scatter plot
A plot of all the ordered pairs of a twovariable data set on a coordinate plane.

Semiminor axis
The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.