Prove the following identity : csc4x−cot4x=csc2x+cot2x .
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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.