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# Solutions for Chapter 3.10: Related Rates

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 3.10: Related Rates

Solutions for Chapter 3.10
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##### ISBN: 9780534393397

This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since 38 problems in chapter 3.10: Related Rates have been answered, more than 48025 students have viewed full step-by-step solutions from this chapter. Calculus, was written by and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 3.10: Related Rates includes 38 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Differentiable at x = a

ƒ'(a) exists

• Distance (in Cartesian space)

The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

• Equivalent vectors

Vectors with the same magnitude and direction.

• Extracting square roots

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

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Frequency table (in statistics)

A table showing frequencies.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Intercept

Point where a curve crosses the x-, y-, or z-axis in a graph.

• Modified boxplot

A boxplot with the outliers removed.

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Parameter

See Parametric equations.

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Real axis

See Complex plane.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Relation

A set of ordered pairs of real numbers.

• 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 by substitution

Method for solving systems of linear equations.

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

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