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Lelu [443]
3 years ago
8

An alien creature lives forever. It is born as a youngling and after 1 month matures to an adult - from then on it produces two

younglings every month. (In other words, an alien starts producing younglings every month starting two months after it was born). If there is initially just one alien and a n is the number of aliens after n months, what is lim an 1/an as n approach infinity?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

This is the fibonacci formula.

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butalik [34]

Answer:

90 engines must be made to minimize the unit cost.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a>0, the minimum value of the function will happen for x = x_v

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This means that a = 1, b = -180, c = 20482

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x_{v} = -\frac{b}{2a} = -\frac{-180}{2(1)} = 90

90 engines must be made to minimize the unit cost.

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