Answer:
a) , b)
, c)
Step-by-step explanation:
a) The velocity and acceleration function are obtained by deriving the displacement function once and twice, respectively:
b) The acceleration of the particle at such instant is:
c) The time when velocity is zero is:
The acceleration is:
Answer:
a)
Now we can find the intercept using the first condition:
And the model would be given by:
The initial amount is A = 860 and we have:
Now we can use the second condition:
And solving for r we got:
And the model would be:
b)
Step-by-step explanation:
Part a
For this case we have the following info given:
Where 0 represent the starting year in 1990.
And 5 years later we have 1210 people:
And we want to create a model like this:
And we can estimate the slope like this:
And replacing we got:
Now we can find the intercept using the first condition:
And the model would be given by:
And if we want an exponential model like this:
The initial amount is A = 860 and we have:
Now we can use the second condition:
And solving for r we got:
And the model would be:
Part b
For this case we want to estimate the population in the year 2000. And that represent 10 years from 1990 so then x =10 and replacing we got:
And for the exponential model we have: