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ExtremeBDS [4]
3 years ago
14

A student must learn M unfamiliar words for an upcoming test. The rate at which the student learns is proportional to the number

of items remaining to be learned, with constant of proportionality equal to k. Initially, the student knows none of the words. Let y(t) stand for the number of the words that the student knows at time t.
Mathematics
1 answer:
lesantik [10]3 years ago
7 0
Dy/dt=k(M-y)
Don’t have time to think about the actual equation for y, but from this equation you should use separation of variables and integrate both sides. It should be an exponential equation.
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Answer:

h(1.5) = 7.3 ft

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<h3>Context of the solutions to h(1.5) and h(10.3):</h3>

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

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