 11.2.1: (a) For dy/dx = x2y2, find the slope at the followingpoints:(1, 0),...
 11.2.2: Sketch the slope field for dy/dx = x/y at the pointsmarked in Figur...
 11.2.3: Sketch the slope field for dy/dx = y2 at the pointsmarked in Figure...
 11.2.4: Match each of the slope field segments in (I)(VI) withone or more o...
 11.2.5: Sketch three solution curves for each of the slope fieldsin Figures...
 11.2.6: Sketch three solution curves for each of the slope fieldsin Figure ...
 11.2.7: One of the slope fields in Figure 11.18 is the slope fieldfor y = x...
 11.2.8: The slope field for the equation y = x(y 1) is shownin Figure 11.19...
 11.2.9: The slope field for the equation y = x + y is shown inFigure 11.20....
 11.2.10: Sketch a slope field with the following properties. (Drawat least t...
 11.2.11: Sketch a slope field with the following properties. (Drawat least t...
 11.2.12: (a) Sketch the slope field for the equation y = x y inFigure 11.21 ...
 11.2.13: The slope field for the equation dP/dt = 0.1P(10P),for P 0, is in F...
 11.2.14: The slope field for y = 0.5(1 + y)(2 y) is shown inFigure 11.23.(a)...
 11.2.15: One of the slope fields in Figure 11.24 is the slope fieldfor y = (...
 11.2.16: The slope field for y = (sin x)(sin y) is in Figure 11.25.(a) Sketc...
 11.2.17: Match the slope fields in Figure 11.26 with their differentialequat...
 11.2.18: Match the slope fields in Figure 11.27 to the correspondingdifferen...
 11.2.19: In 1922, match an equation with the slope field.(a) y = 0.05y(10 y)...
 11.2.20: In 1922, match an equation with the slope field.(a) y = 0.05y(10 y)...
 11.2.21: In 1922, match an equation with the slope field.(a) y = 0.05y(10 y)...
 11.2.22: In 1922, match an equation with the slope field.(a) y = 0.05y(10 y)...
 11.2.23: Match the following differential equations with the slopefields sho...
 11.2.24: The Gompertz equation, which models growth of animaltumors, is y = ...
 11.2.25: In 2526, explain what is wrong with the statement.There is a differ...
 11.2.26: In 2526, explain what is wrong with the statement.Figure 11.31 show...
 11.2.27: In 2730, give an example of:A differential equation whose slope fie...
 11.2.28: In 2730, give an example of:A differential equation that has a slop...
 11.2.29: In 2730, give an example of:A slope field for a differential equati...
 11.2.30: In 2730, give an example of:A slope field for a differential equati...
 11.2.31: Are the statements in 3135 true or false? Give anexplanation for yo...
 11.2.32: Are the statements in 3135 true or false? Give anexplanation for yo...
 11.2.33: Are the statements in 3135 true or false? Give anexplanation for yo...
 11.2.34: Are the statements in 3135 true or false? Give anexplanation for yo...
 11.2.35: Are the statements in 3135 true or false? Give anexplanation for yo...
 11.2.36: In 3644, decide whether the statement is true orfalse. Assume that ...
 11.2.37: In 3644, decide whether the statement is true orfalse. Assume that ...
 11.2.38: In 3644, decide whether the statement is true orfalse. Assume that ...
 11.2.39: In 3644, decide whether the statement is true orfalse. Assume that ...
 11.2.40: In 3644, decide whether the statement is true orfalse. Assume that ...
 11.2.41: In 3644, decide whether the statement is true orfalse. Assume that ...
 11.2.42: In 3644, decide whether the statement is true orfalse. Assume that ...
 11.2.43: In 3644, decide whether the statement is true orfalse. Assume that ...
 11.2.44: In 3644, decide whether the statement is true orfalse. Assume that ...
Solutions for Chapter 11.2: SLOPE FIELDS
Full solutions for Calculus: Single and Multivariable  6th Edition
ISBN: 9780470888612
Solutions for Chapter 11.2: SLOPE FIELDS
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. Since 44 problems in chapter 11.2: SLOPE FIELDS have been answered, more than 43705 students have viewed full stepbystep solutions from this chapter. Chapter 11.2: SLOPE FIELDS includes 44 full stepbystep solutions.

Causation
A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

Complex fraction
See Compound fraction.

Cubic
A degree 3 polynomial function

Descriptive statistics
The gathering and processing of numerical information

Frequency
Reciprocal of the period of a sinusoid.

Gaussian elimination
A method of solving a system of n linear equations in n unknowns.

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Horizontal component
See Component form of a vector.

Horizontal shrink or stretch
See Shrink, stretch.

Initial point
See Arrow.

Line graph
A graph of data in which consecutive data points are connected by line segments

Nappe
See Right circular cone.

Ordered set
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

Pole
See Polar coordinate system.

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Radicand
See Radical.

Standard representation of a vector
A representative arrow with its initial point at the origin

Window dimensions
The restrictions on x and y that specify a viewing window. See Viewing window.

Zero factor property
If ab = 0 , then either a = 0 or b = 0.