Answer:
1. A 2. C
Step-by-step explanation:
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Answer with Step-by-step explanation:
Since we have given that
Initial velocity = 50 ft/sec =
Initial height of ball = 5 feet =
a. What type of function models the height (ℎ, in feet) of the ball after tt seconds?
As we know the function for height h with respect to time 't'.
b. Explain what is happening to the height of the ball as it travels over a period of time (in tt seconds).
What function models the height, ℎ (in feet), of the ball over a period of time (in tt seconds)?
if it travels over a period of time then time becomes continuous interval . so it will use integration over a period of time
Our function becomes,
I think the only answer is E
Answer:
- 2 and 3 are the the growth rates parameter for x and y respectively
- 16 and 20 are the carrying capacities for x and y respectively
- 2 and 7 measures the benefit to x and y of the interaction of the two species.
The species compete each other.
Step-by-step explanation:
When we have a population model for two species as we have here, the differential equations looks like this:
Here:
a and d are the the growth rates parameter for x and y respectively
N and M are the carrying capacities for x and y respectively
c and f measures the benefit to x and y of the interaction of the two species.
So in our case we have:
Therefore:
- 2 and 3 are the the growth rates parameter for x and y respectively
- 16 and 20 are the carrying capacities for x and y respectively
- 2 and 7 measures the benefit to x and y of the interaction of the two species.
The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.
I hope it helps you!
<h2>
Hello!</h2>
The answer is:
<h2>Why?</h2>
If we want to find an equation of a line parallel to the given line, we must remember that parallel lines has the same slope.
So,
Line equation is:
Where:
So, we are given the function:
Where:
m=-5
Also, we are given the point where the line passes through (0,8), we can use it to find "b"
So, the equation will be:
To prove if we are right, let's substitute (0,8):
Have a nice day!