Given:
The table of values.
To find:
The rate of change.
Solution:
From the given table it is clear that the rate of change is constant and function passes through two points (-1,5) and (2,-4). So, the rate of change is
So, the rate of change is -3.
Therefore, the correct option is C.
Answer:
Step-by-step explanation:
You have the following differential equation:
This equation can be written as:
where
If the differential equation is exact, it is necessary the following:
Then, you evaluate the partial derivatives:
The partial derivatives are equal, then, the differential equation is exact.
In order to obtain the solution of the equation you first integrate M or N:
(1)
Next, you derive the last equation respect to t:
however, the last derivative must be equal to M. From there you can calculate g(t):
Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:
where C is the constant of integration
Answer:
<em>Habrán 10175 enfermos a los 15 dias.</em>
Step-by-step explanation:
La tasa de cambio de la población enferma por la epidemia de gripe es:
Donde t es el tiempo en dias, y se sabe que la epidemia inició en N(0)=50.
a)
Para encontrar la función original que describe el comportamiento de la epidemia, debemos integrar la función:
Integrando:
Simplificando:
Para determinar el valor de C, usamos la condición inicial N(0)=50:
Se tiene que C=50, y la función queda determinada como:
b) El número de enfermos a los t=15 dias se determina substituyendo el valor en la función original:
Calculando:
Habrán 10175 enfermos a los 15 dias.
