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# Solutions for Chapter P: Preparation for Calculus

## Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter P: Preparation for Calculus

Solutions for Chapter P
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##### ISBN: 9780618149162

Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. Since 49 problems in chapter P: Preparation for Calculus have been answered, more than 26718 students have viewed full step-by-step solutions from this chapter. Chapter P: Preparation for Calculus includes 49 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Bar chart

A rectangular graphical display of categorical data.

• Closed interval

An interval that includes its endpoints

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Cube root

nth root, where n = 3 (see Principal nth root),

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Finite series

Sum of a finite number of terms.

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• 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)

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• 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).

• Polar form of a complex number

See Trigonometric form of a complex number.

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• Positive association

A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

• Projectile motion

The movement of an object that is subject only to the force of gravity

An equation that can be written in the form ax 2 + bx + c = 01a ? 02

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

• Spiral of Archimedes

The graph of the polar curve.

• Window dimensions

The restrictions on x and y that specify a viewing window. See Viewing window.

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