Answer:
The population size after four days is calculated as 168.
Step-by-step explanation:
Let the population size be P
t be the time variable which is measured in hours
Therefore,
by the differential equation
= 0.8329P
So,by solving and expifying the equation on both sides, we get
P = Ae^0.8329t
Therefore,from the first equation we get
P(0) = 6,
A = 6.
Therefore the population size after four days is
P(4) =
= 168( rounded to nearest whole number)
Answer:
Step-by-step explanation:
Given the integral , we are to evaluate it. Note that sum of integral is equal to the integral of its individual sum as shown;
<em>Hence the value of the evaluated integral is </em><em> where C is the constant of integration.</em>
The answer is D - 56
Because it’s the top row times by 8
Answer:
The set of Real number less than -5.
Step-by-step explanation:
Given:
For finding the range we will put the value for
∴
∴
∴
and so on we have all the set of Real number less than -5.
Answer:
All positive real numbers
Step-by-step explanation:
Given
The model can be represented as:
Required
Determine the domain
This means that we list out possible values of x.
If x represents time, then it is impossible for x to be negative.
This implies that x can take any value as long as it is greater than or equal to 0.
<em>Hence, the domain is all positive real numbers</em>