The population of elk in a national park is given by the function 1000 P(t) = 1+15e-3t where t is the time in decades since 1960. Calculate P'(3). What does it represent? What will happen to the elk population in the long run? Justify your answer.

Q: A radioactive isotope known as Algeberium has a half-life of 25 days. The amount of Algeberium 4(1)…

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A: Given that the growth rate of Escherichia coli, a common bacterium found in the human intestine, is…

Q: Approximate to four decimal places f(x)=ex when x=-2.7183

A: Given function is f(x) = ex  Given that x = -2.7183

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Q: Suppose f ( t ) = 120 ( 1.035 ) t models the population of a city (in thousands) t years from now.…

A: Given f ( t ) = 120 ( 1.035 ) t

Q: Is y=1/4 x05 a power function? And why

A: We have to check

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

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A: Given, The gross national economy of a certain country can be approximately by  P(t) = 1033e0.178t…

Q: The total expenditures (in millions) of current dollars for pollution abatement and control during…

A: Here we find the total expenditure.

Q: Suppose the population of rabbits can be modeled by the function  P = 37 · (1.31)0.2t , where t is…

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Q: If f(x) rate of change of f(x) at x = 3x + 7x + 7, find the instantaneous – 2. - - Answer = %3D

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Q: Having completed your first few tasks, you move now to a portion of the lab where important bacteria…

A: Given: To Find: To determine the bacteria population after 5 days.