# Solutions for Chapter 11: The Calculus of Variable-Factor Products

## Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547

Solutions for Chapter 11: The Calculus of Variable-Factor Products

Solutions for Chapter 11
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##### ISBN: 9781559536547

Chapter 11: The Calculus of Variable-Factor Products includes 9 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Concepts and Applications was written by Patricia and is associated to the ISBN: 9781559536547. Since 9 problems in chapter 11: The Calculus of Variable-Factor Products have been answered, more than 8056 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2.

Key Calculus Terms and definitions covered in this textbook

If u < v , then u + w < v + w

• Bar chart

A rectangular graphical display of categorical data.

• Directed line segment

See Arrow.

• Frequency table (in statistics)

A table showing frequencies.

• Inverse cosine function

The function y = cos-1 x

• Least-squares line

See Linear regression line.

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• Newton’s law of cooling

T1t2 = Tm + 1T0 - Tm2e-kt

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• 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 distribution

The collection of probabilities of outcomes in a sample space assigned by a probability function.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Vertical translation

A shift of a graph up or down.

• Zero of a function

A value in the domain of a function that makes the function value zero.

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