 9.3.1: Sketch three solution curves for each of the slope fields in Figure...
 9.3.2: Sketch the slope field for dy/dx = y2 at the points marked in Figur...
 9.3.3: Sketch the slope field for dy/dx = x/y at the points marked in Figu...
 9.3.4: Figure 9.20 is a slope field for dy/dx = y 10. (a) Draw the solutio...
 9.3.5: Figure 9.21 is the slope field for the equation y = x+y. (a) Sketch...
 9.3.6: (a) For dy/dx = x2y2, find the slope at the following points: (1, 0...
 9.3.7: Match the slope fields in Figure 9.22 with their differential equat...
 9.3.8: Match the slope fields in Figure 9.23 with their differential equat...
 9.3.9: Which one of the following differential equations best fits the slo...
 9.3.10: (a) Consider the slope field for dy/dx = xy. What is the slope of t...
 9.3.11: For 1116, consider a solution curve for each of the slope fields in...
 9.3.12: For 1116, consider a solution curve for each of the slope fields in...
 9.3.13: For 1116, consider a solution curve for each of the slope fields in...
 9.3.14: For 1116, consider a solution curve for each of the slope fields in...
 9.3.15: For 1116, consider a solution curve for each of the slope fields in...
 9.3.16: For 1116, consider a solution curve for each of the slope fields in...
 9.3.17: The Gompertz equation, which models growth of animal tumors, is y =...
Solutions for Chapter 9.3: SLOPE FIELDS
Full solutions for Applied Calculus  5th Edition
ISBN: 9781118174920
Solutions for Chapter 9.3: SLOPE FIELDS
Get Full SolutionsThis 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 stepbystep solutions from this chapter. Applied Calculus was written by and is associated to the ISBN: 9781118174920. Chapter 9.3: SLOPE FIELDS includes 17 full stepbystep solutions.

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 xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Symmetric property of equality
If a = b, then b = a

xintercept
A point that lies on both the graph and the xaxis,.

Xmax
The xvalue of the right side of the viewing window,.