 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 7018 students have viewed full stepbystep solutions from this chapter. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. Chapter 9.3: SLOPE FIELDS includes 17 full stepbystep solutions.

Arcsecant function
See Inverse secant function.

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Common logarithm
A logarithm with base 10.

Coordinate plane
See Cartesian coordinate system.

Cosine
The function y = cos x

Interval
Connected subset of the real number line with at least two points, p. 4.

Inverse cosecant function
The function y = csc1 x

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Mapping
A function viewed as a mapping of the elements of the domain onto the elements of the range

Maximum rvalue
The value of r at the point on the graph of a polar equation that has the maximum distance from the pole

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Polar distance formula
The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22  2r1r2 cos 1?1  ?22

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

Radius
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

Rational numbers
Numbers that can be written as a/b, where a and b are integers, and b ? 0.

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

Righthand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.

Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

Sum of an infinite geometric series
Sn = a 1  r , r 6 1

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