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# Solutions for Chapter 4.7: Optimization Problems

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 4.7: Optimization Problems

Solutions for Chapter 4.7
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##### ISBN: 9780534393397

Since 62 problems in chapter 4.7: Optimization Problems have been answered, more than 43666 students have viewed full step-by-step solutions from this chapter. Chapter 4.7: Optimization Problems includes 62 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Calculus, was written by and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Aphelion

The farthest point from the Sun in a planetâ€™s orbit

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• Constant of variation

See Power function.

• Double-angle identity

An identity involving a trigonometric function of 2u

• Extracting square roots

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

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Inverse cotangent function

The function y = cot-1 x

• Negative association

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

• nth root of unity

A complex number v such that vn = 1

• One-to-one rule of exponents

x = y if and only if bx = by.

• Positive numbers

Real numbers shown to the right of the origin on a number line.

• Projectile motion

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

• 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

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Solve by substitution

Method for solving systems of linear equations.

• Statistic

A number that measures a quantitative variable for a sample from a population.

A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

• Terminal point

See Arrow.

• Time plot

A line graph in which time is measured on the horizontal axis.

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