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cupoosta [38]
3 years ago
10

The city of Smyrna has a flea population that has been doubling every year. If there are about 100,200 fleas this year, how many

will there be 3 years from now? Indicate the step where a variable is defined, the equation used to solve, and the final answer.
Mathematics
2 answers:
Bad White [126]3 years ago
7 0
The equation for this is 100,200(2)^n   where n is the number of years

so in 3 years the population will be  100,200(2)^3 = 801,600
slamgirl [31]3 years ago
4 0

Answer:

100,200(2)^3 = 801,600

Step-by-step explanation:

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daser333 [38]

9514 1404 393

Answer:

  c = -3; d = 5

Step-by-step explanation:

The function is differentiable if it is continuous and the derivative is continuous.

This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  5(3^2) +c = 45 +c

From the right, the limit is ...

  d(3^2) -3 = 9d -3

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The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  f'(x) = 10x

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From the right, the limit is ...

  f'(x) = 2dx

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This gives us a pair of simultaneous equations in 'c' and 'd':

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The latter tells us d = 5. Then the former tells us ...

  45 +c = 9(5) -3   ⇒   c = -3

The function is differentiable if c = -3 and d = 5.

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<em>Additional comment</em>

With these values, the function becomes ...

  f(x)=\begin{cases}5x^2-3&\text{if }x\le 3\\5x^2-3&\text{if }x>3\end{cases}

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Answer:

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Step-by-step explanation:

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