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zimovet [89]
3 years ago
5

When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by

Mathematics
1 answer:
sineoko [7]3 years ago
7 0
The time when the maximum serum concentration is reached is obtained by equating the derivative of C(t) to 0.
i.e. dC(t)/dt = 0.06 - 2(0.0002t) = 0.06 - 0.0004t = 0
0.0004t = 0.06
t = 0.06/0.0004 = 150
Therefore, the maximum serum concentration is reached at t = 150 mins

The maximum concentration = 0.06(150) - 0.0002(150)^2 = 9 - 0.0002(22,500) = 9 - 4.5 = 4.5
Therefore, the maximum concentration is 4.5mg/L
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Show work. This is a BC calculus problem.
stepan [7]

Answer:

D.

Step-by-step explanation:

Remember that the limit definition of a derivative at a point is:

\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}

Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:

\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}

Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).

The answer will thus be D.

5 0
2 years ago
A coin is tossed 4 times. Which of the following represents the probability of the coin landing on heads all 4 times?
galben [10]

Answer:

C.1/16

Step-by-step explanation:

When a coin is tossed 4 times, the number of outcomes are:

2^4 = 16

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So, the probability will be:

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Hence, the probability of a coin landing on heads all 4 times is:

C.1/16

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3 years ago
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Troyanec [42]

Answer:

The image has the ans.

Step-by-step explanation:

Image explains.

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Step-by-step explanation:

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Firlakuza [10]

y = -2x + 6

Steps:

y = mx + b

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5 0
3 years ago
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