×

×

# Solutions for Chapter 3: Applications of Differentiation ## Full solutions for Essential Calculus | 2nd Edition

ISBN: 9781133112297 Solutions for Chapter 3: Applications of Differentiation

Solutions for Chapter 3
4 5 0 302 Reviews
26
4
##### ISBN: 9781133112297

Summary of Chapter 3: Applications of Differentiation

Many practical problems require us to minimize a cost or maximize an area or somehow find the best possible outcome of a situation. In particular, we will be able to investigate the optimal shape of a can and to explain the shape of cells in beehives.

Since 50 problems in chapter 3: Applications of Differentiation have been answered, more than 26581 students have viewed full step-by-step solutions from this chapter. Essential Calculus was written by and is associated to the ISBN: 9781133112297. Chapter 3: Applications of Differentiation includes 50 full step-by-step solutions. This textbook survival guide was created for the textbook: Essential Calculus, edition: 2. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Combination

An arrangement of elements of a set, in which order is not important

• Equation

A statement of equality between two expressions.

• Interquartile range

The difference between the third quartile and the first quartile.

• kth term of a sequence

The kth expression in the sequence

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Logarithmic regression

See Natural logarithmic regression

• Minor axis

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

• Modified boxplot

A boxplot with the outliers removed.

• Negative association

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

• Pseudo-random numbers

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

• Random behavior

Behavior that is determined only by the laws of probability.

• Real axis

See Complex plane.

• Solve by substitution

Method for solving systems of linear equations.

• Standard representation of a vector

A representative arrow with its initial point at the origin

• Unbounded interval

An interval that extends to -? or ? (or both).

• Union of two sets A and B

The set of all elements that belong to A or B or both.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

• Zero factorial

See n factorial.