Amajor corporation is building a 4325-acre complex of homes, offices, stores, schools, and churches in the rural community of glen cove. as a result of this development, the planners have estimated that glen cove's population (in thousands) t years from now will be given by p(t) = 20t2 + 100t + 240 t2 + 5t + 60 . (a) find the rate at which glen cove's population is changing with respect to time. p'(t) = (b) what will be the population after 10 years? (round your answer to the nearest person.) people at what rate will the population be increasing when t = 10? (round your answer to the nearest integer.) people/year

Population after 10 years is approximately 124 persons.

Approximately 4 people dies when t = 10

Step-by-step explanation:

We are given the following information in the question:

The population in thousands at time t is given by a function:

a) Rate of change of population

Derivative with the help of quotient rule:

Differentiating, we get:

Solving, we get:

b) P(10) =  

Since the population is given in thousands, we multiply it by 1000.

Thus, population after 10 years is approximately 124 persons.

c) P'(10) =

Since the population is given in thousands, we multiply it by 1000.

Thus, approximately 4 people dies when t = 10.

step-by-step explanation:

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