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24 September, 01:55

When a certain prescription drug is taken orally by an adult, the amount of the drug (in mg/L) in the bloodstream at t hours is given by the function y=f (t)

1. What is the concentration of the drug in the bloodstream at t = 8 hours?

2. During what time interval is the drug level in the bloodstream increasing? Decreasing?

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  1. 24 September, 02:02
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    1. y = f (8)

    2. So for t which f' (t) > 0, the drug level in the bloodstream is increasing. And for t which f' (t) < 0, it is decreasing.

    Step-by-step explanation:

    The concentration of the drug in the bloodstream at t hours is:

    y = f (t)

    1. What is the concentration of the drug in the bloodstream at t = 8 hours?

    At t hours, y = f (t)

    So at 8 hours, y = f (8)

    2. During what time interval is the drug level in the bloodstream increasing? Decreasing?

    A function f (t) is increasing when

    f' (t) > 0

    And is decreasing when

    f' (t) < 0

    So for t which f' (t) > 0, the drug level in the bloodstream is increasing. And for t which f' (t) < 0, it is decreasing.
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