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kirza4 [7]
3 years ago
14

Some diseases (such as typhoid fever) are spread largely by carriers, individuals who can transmit the disease but who exhibit n

o overt symptoms. Let x and y denote the proportions of susceptibles and carriers, respectively, in the population. Suppose that carriers are identified and removed from the population at a rate β, so dy/dt = −βy. Suppose also that the disease spreads at a rate proportional to the product of x and y; thus dx/dt = −αxy. a) Determine y at tany time t by solving eq(i) subject to the initial condition y(0)=y0
b) Use the result of part (a) to find x at any time t by solving Eq.(ii) subject to the initial condition x(0)=x0
c) Find the proportion of the population that escapes the epidemic by finding the limiting value of x as t approaches infinity

Mathematics
1 answer:
Margaret [11]3 years ago
6 0

Answer:

The detailed derivation is shown in the attachment

Step-by-step explanation:

The step by step explanation is as shown in the attachment.

Basically, what was applied is the knowledge of differentiation and integration.

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What’s the answer? I’m very confused
Snowcat [4.5K]
F(x) = 29x +38. F(x) is a fancy way of saying y= and you must know the basic formula y=mx+b
6 0
3 years ago
A circular disc has a circumference of 16pi meters. if we multiply the radius of the circular disc is by 10, what is the circumf
Flauer [41]

The circumference of the new disc 160Π that is 10 time of old circumference.

Step-by-step explanation:

Given,

Circumference of circular disc = 16Π (pi = Π)

Let, the radius of the circle be 'r'

Formula

The circumference of a circle with r radius = 2 Π r

According to the problem,

2 Π r = 16Π

or, 2r = 16 ( by eliminating the value of Π from both the side)

or, r = 8

Now, we multiply the radius by 10

so, the new radius is 8 X 10 = 80

Now the circumference = 2 Π X 80

= 160Π

Hence, the new circumference also will be 10 times of the older one.

6 0
3 years ago
The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?
Degger [83]

Answer:

2 degrees and 178 degrees.

Step-by-step explanation:

So, remember if 2 angles are supplementary, they equal 180 degrees. Let's call the smaller angle x, meaning the bigger angle, which is 89 times the size of the smaller angle, would be 89x. Now let's put that into an equation.

180 = x + 89x

We now have to group the x's together:

180 = 90x

Now in order to determine x, we have to divide by 90 on both sides.

X= 2

So we know that the smaller angle is 2, meaning that if the larger angle is 89 times the size, the larger angle would be 178.

4 0
3 years ago
I need 1-4 please help me
Neko [114]
1. A = ¹/₂bh
    A = ¹/₂(25)(4)
    A = ¹/₂(100)
    A = 50 yd²

3. A = ¹/₂bh
    A = ¹/₂(3)(1)
    A = ¹/₂(3)
    A = 1¹/₂ cm²
5 0
4 years ago
A cone has a radius of 6.2 mm and a height of 10.8 mm. What is the volume of the cone to the nearest tenth? use π = 3.14
guapka [62]

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the volumes.

Here given as, r= 6.2 mm, h = 10.8 mm, π=3.14

hence, the volume of the cone is

Volume = 1/3(πr^2h)

===> vol = 1/3(3.14*(6.2)^2*(10.8))

==> Vol = 1/3*(1303.57)

==> Vol = 434.52 mm^3

Hence the volume of the cone is 434.52 mm^3

7 0
3 years ago
Read 2 more answers
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