Question 5 (1 point)
2 answers:
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Step-by-step explanation:
definition of the derivative to differentiate functions. This tutorial is well understood if used with the difference quotient .
The derivative f ' of function f is defined ascthe above pic.
when this limit exists. Hence, to find the derivative from its definition, we need to find the limit of the difference quotient.
The poopulation exponential model is given by
Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.
Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:
Thus, the exponential equation using the 1750 and the 1800 population values is
The population of 1900 using the 1750 and the 1800 population values is given by
The population of 1950 using the 1750 and the 1800 population values is given by
From the table, it can be seen that the actual figure is greater than the exponential model values.
Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.
Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:
Thus, the exponential equation using the 1750 and the 1800 population values is
The population of 1900 using the 1750 and the 1800 population values is given by
The population of 1950 using the 1750 and the 1800 population values is given by
From the table, it can be seen that the actual figure is greater than the exponential model values.