- 9.7.1: Let I be the number of infected people and S be the number of susce...
- 9.7.2: Show that if S, I, and R satisfy the differential equations in 1, t...
- 9.7.3: Explain how you can tell from the graph of the trajectory shown in ...
- 9.7.4: (a) In a school of 150 students, one of the students has the flu in...
- 9.7.5: Repeat for a school with 350 students.
- 9.7.6: (a) On the slope field for dI/dS in Figure 9.45 trajectory through ...
- 9.7.7: Use Figure 9.47 to estimate the maximum number of infecteds. What d...
- 9.7.8: Compare the diseases modeled by each of the following differential ...
- 9.7.9: For the equations (I) in 8, what is the threshold value of S?
- 9.7.10: For the equations (II) in 8, suppose S0 = 100. Does the disease spr...
- 9.7.11: Let S and I satisfy the differential equations in 1. Assume I = 0. ...
- 9.7.12: During World War I, a particularly lethal form of flu killed about ...
Solutions for Chapter 9.7: MODELING THE SPREAD OF A DISEASE
Full solutions for Applied Calculus | 5th Edition
An arrangement of elements of a set, in which order is not important
nth root, where n = 3 (see Principal nth root),
Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.
Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.
A subset of a sample space.
The right side of u(v + w) = uv + uw.
A procedure for fitting an exponential function to a set of data.
Any solution of the resulting equation that is not a solution of the original equation.
The line through the focus and perpendicular to the directrix of a conic.
Imaginary part of a complex number
See Complex number.
Magnitude of a real number
See Absolute value of a real number
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.
A distribution of data shaped like the normal curve.
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.
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.
The movement of an object that is subject only to the force of gravity
symmetric about the x-axis
A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is
See Conversion factor.
A vector that specifies the motion of an object in terms of its speed and direction.