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# Solutions for Chapter 9.1: Modeling with Differential Equations ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 9.1: Modeling with Differential Equations

Solutions for Chapter 9.1
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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. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Chapter 9.1: Modeling with Differential Equations includes 15 full step-by-step solutions. Since 15 problems in chapter 9.1: Modeling with Differential Equations have been answered, more than 31287 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Central angle

An angle whose vertex is the center of a circle

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• Difference identity

An identity involving a trigonometric function of u - v

• Directed line segment

See Arrow.

• Extraneous solution

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

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Imaginary unit

The complex number.

• Infinite limit

A special case of a limit that does not exist.

• Logarithmic regression

See Natural logarithmic regression

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Positive numbers

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

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Proportional

See Power function

• Quantitative variable

A variable (in statistics) that takes on numerical values for a characteristic being measured.

• Reflection across the y-axis

x, y and (-x,y) are reflections of each other across the y-axis.

• Square matrix

A matrix whose number of rows equals the number of columns.

• Standard representation of a vector

A representative arrow with its initial point at the origin

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Zoom out

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).

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