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# Solutions for Chapter 9.3: SLOPE FIELDS

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 9.3: SLOPE FIELDS

Solutions for Chapter 9.3
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##### ISBN: 9781118174920

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Since 17 problems in chapter 9.3: SLOPE FIELDS have been answered, more than 15779 students have viewed full step-by-step solutions from this chapter. Applied Calculus was written by and is associated to the ISBN: 9781118174920. Chapter 9.3: SLOPE FIELDS includes 17 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• Average rate of change of ƒ over [a, b]

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

• Explanatory variable

A variable that affects a response variable.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Infinite sequence

A function whose domain is the set of all natural numbers.

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Objective function

See Linear programming problem.

• Positive numbers

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

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Range of a function

The set of all output values corresponding to elements in the domain.

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Second

Angle measure equal to 1/60 of a minute.

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Stretch of factor c

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

• Symmetric property of equality

If a = b, then b = a

• x-intercept

A point that lies on both the graph and the x-axis,.

• Xmax

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

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