If you have a cat what is it name
2 answers:
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Answer:
The correct option is D)
Step-by-step explanation:
Consider the provided information.
People are entering a building at a rate modeled by f (t) people per hour and exiting the building at a rate modeled by g (t) people per hour,
The change of number of people in building is:
Where f(t) is people entering in building and g(t) is exiting from the building.
It is given that "The functions f and g are non negative and differentiable for all times t."
We need to find the the rate of change of the number of people in the building.
Differentiate the above function with respect to time:
It is given that the rate of change of the number of people in the building is increasing at time t.
That means
Therefore,
Hence, the correct option is D)
This is how I did it:
use distribution
use addition
use addition and subtraction
use division
So your answer is
So your answer is