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# Solutions for Chapter 3.9: RELATED RATES

## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909

Solutions for Chapter 3.9: RELATED RATES

Solutions for Chapter 3.9
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##### ISBN: 9780538497909

This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Chapter 3.9: RELATED RATES includes 46 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Since 46 problems in chapter 3.9: RELATED RATES have been answered, more than 29414 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Base

See Exponential function, Logarithmic function, nth power of a.

• Circle graph

A circular graphical display of categorical data

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Finite series

Sum of a finite number of terms.

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Logarithmic form

An equation written with logarithms instead of exponents

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Phase shift

See Sinusoid.

• Polar equation

An equation in r and ?.

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Random behavior

Behavior that is determined only by the laws of probability.

• Reciprocal function

The function ƒ(x) = 1x

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Standard deviation

A measure of how a data set is spread

• Standard representation of a vector

A representative arrow with its initial point at the origin

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Vertical stretch or shrink

See Stretch, Shrink.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

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