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2 answers:
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Answer:
see the attachment
Step-by-step explanation:
The graph attached shows the secant function in red. The restriction to the interval [0, π/2] is highlighted by green dots, and the corresponding inverse function is shown by a green curve.
The restriction to the interval [π/2, π] is highlighted by purple dots, and the corresponding inverse function is shown in purple.
The dashed orange line at y=x is the line over which a function and its inverse are mirror images of each other.
Answer:
16 years.
Step-by-step explanation:
Please consider the complete question.
Assume that the suburb has a population of 686,000 and is growing at a rate of 4000 per year. Assume that the city has a population of 942,000 and is declining at a rate of 12000 per year. In how many years will the populations of the suburb and the city be equal?
Let x represent number of years.
Growth function would be and decline function would be
.
To find the time when both populations will be equal, we will equate both functions as:
Therefore, in 16 years the populations of the suburb and the city will be equal.