 11.7.1: (a) Show that P = 1/(1 + et ) satisfies the logistic equation dP dt...
 11.7.2: A quantity P satisfies the differential equation dP dt = kP 1 P 100...
 11.7.3: A quantity Q satisfies the differential equation dQ dt = kQ(1 0.000...
 11.7.4: A quantity P satisfies the differential equation dP dt = kP 1 P 250...
 11.7.5: A quantity A satisfies the differential equation dA dt = kA(1 0.000...
 11.7.6: Figure 11.69 shows a graph of dP/dt against P for a logistic differ...
 11.7.7: Figure 11.70 shows a slope field of a differential equation for a q...
 11.7.8: (a) On the slope field for dP/dt = 3P 3P2 in Figure 11.71, sketch t...
 11.7.9: Exercises 910 give a graph of dP/dt against P. (a) What are the equ...
 11.7.10: Exercises 910 give a graph of dP/dt against P. (a) What are the equ...
 11.7.11: For the logistic differential equations in Exercises 1112, (a) Give...
 11.7.12: For the logistic differential equations in Exercises 1112, (a) Give...
 11.7.13: In Exercises 1316, give the general solution to the logistic differ...
 11.7.14: In Exercises 1316, give the general solution to the logistic differ...
 11.7.15: In Exercises 1316, give the general solution to the logistic differ...
 11.7.16: In Exercises 1316, give the general solution to the logistic differ...
 11.7.17: In Exercises 1720, give k, L, A, a formula for P as a function of t...
 11.7.18: In Exercises 1720, give k, L, A, a formula for P as a function of t...
 11.7.19: In Exercises 1720, give k, L, A, a formula for P as a function of t...
 11.7.20: In Exercises 1720, give k, L, A, a formula for P as a function of t...
 11.7.21: In Exercises 2122, give the solution to the logistic differential e...
 11.7.22: In Exercises 2122, give the solution to the logistic differential e...
 11.7.23: A rumor spreads among a group of 400 people. The number of people, ...
 11.7.24: The Tojolobal Mayan Indian community in southern Mexico has availab...
 11.7.25: A model for the population, P, of carp in a landlocked lake at time...
 11.7.26: Table 11.7 gives values for a logistic function P = f(t). (a) Estim...
 11.7.27: Figure 11.73 shows the spread of the Codered computer virus during...
 11.7.28: According to an article in The New York Times, 19 pigweed has acqui...
 11.7.29: We define P to be the total oil production worldwide since 1859 in ...
 11.7.30: In we used a logistic function to model P, total world oil producti...
 11.7.31: As in 29, let P be total world oil production since 1859. In 1998, ...
 11.7.32: Use the logistic function obtained in to model the growth of P, the...
 11.7.33: With P, the total oil produced worldwide since 1859, in billions of...
 11.7.34: The total number of people infected with a virus often grows like a...
 11.7.35: Policy makers are interested in modeling the spread of information ...
 11.7.36: In the 1930s, the Soviet ecologist G. F. Gause22 studied the popula...
 11.7.37: The population data from another experiment on yeast by the ecologi...
 11.7.38: The spread of a nonfatal disease through a population of fixed siz...
 11.7.39: Many organ pipes in old European churches are made of tin. In cold ...
 11.7.40: The logistic model can be applied to a renewable resource that is h...
 11.7.41: Federal or state agencies control hunting and fishing by setting a ...
 11.7.42: In 4244, explain what is wrong with the statement
 11.7.43: In 4244, explain what is wrong with the statement
 11.7.44: In 4244, explain what is wrong with the statement
 11.7.45: In 4548, give an example of:
 11.7.46: In 4548, give an example of:
 11.7.47: In 4548, give an example of:
 11.7.48: In 4548, give an example of:
 11.7.49: There is a solution curve for the logistic differential equation dP...
 11.7.50: For any positive values of the constant k and any positive values o...
Solutions for Chapter 11.7: THE LOGISTIC MODEL
Full solutions for Calculus: Single Variable  6th Edition
ISBN: 9780470888643
Solutions for Chapter 11.7: THE LOGISTIC MODEL
Get Full SolutionsCalculus: Single Variable was written by and is associated to the ISBN: 9780470888643. Chapter 11.7: THE LOGISTIC MODEL includes 50 full stepbystep solutions. Since 50 problems in chapter 11.7: THE LOGISTIC MODEL have been answered, more than 33516 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions.

Augmented matrix
A matrix that represents a system of equations.

Conjugate axis of a hyperbola
The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Demand curve
p = g(x), where x represents demand and p represents price

Imaginary unit
The complex number.

Linear regression equation
Equation of a linear regression line

Multiplication principle of counting
A principle used to find the number of ways an event can occur.

nset
A set of n objects.

Nonsingular matrix
A square matrix with nonzero determinant

Pie chart
See Circle graph.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

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

Variance
The square of the standard deviation.

Variation
See Power function.

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

Vertical line test
A test for determining whether a graph is a function.

Weights
See Weighted mean.

Xmin
The xvalue of the left side of the viewing window,.

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).