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# Solutions for Chapter 3.4: Optimization Problems ## Full solutions for Brief Calculus: An Applied Approach | 7th Edition

ISBN: 9780618547197 Solutions for Chapter 3.4: Optimization Problems

Solutions for Chapter 3.4
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##### ISBN: 9780618547197

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7. Chapter 3.4: Optimization Problems includes 42 full step-by-step solutions. Since 42 problems in chapter 3.4: Optimization Problems have been answered, more than 22618 students have viewed full step-by-step solutions from this chapter. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197.

Key Calculus Terms and definitions covered in this textbook

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

• Annuity

A sequence of equal periodic payments.

• Conditional probability

The probability of an event A given that an event B has already occurred

• Dependent variable

Variable representing the range value of a function (usually y)

• Equivalent systems of equations

Systems of equations that have the same solution.

• Horizontal component

See Component form of a vector.

• Minute

Angle measure equal to 1/60 of a degree.

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Opens upward or downward

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

• Ordered pair

A pair of real numbers (x, y), p. 12.

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Phase shift

See Sinusoid.

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• Series

A finite or infinite sum of terms.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Xmax

The x-value of the right side of the viewing window,.

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