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gizmo_the_mogwai [7]
2 years ago
12

A bicyclist is riding on a path modeled by the function f(x) = 0.03(10x − x2), where x and f(x) are measured in miles. Find the

rate of change of elevation at x = 1.
Mathematics
1 answer:
REY [17]2 years ago
3 0

Answer: 0.024\ \text{miles per sec}

Step-by-step explanation:

Given

Path is changing according to the function f(x)=0.03(10x-x^2)

Rate of change of the elevation is given by the derivative of the function

\Rightarrow f'(x)=0.03(10-2x)

At x=1\ f'(x) \ \text{is}

\Rightarrow f'(x=1)=0.03(10-2\times 1)\\\Rightarrow f'(x=1)=0.03(8)\\\Rightarrow f'(x=1)=0.24\ \text{miles per sec}

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