Questions from General Calculus


Q: A doctor prescribes a 100-mg antibiotic tablet to be taken

A doctor prescribes a 100-mg antibiotic tablet to be taken every eight hours. Just before each tablet is taken, 20% of the drug remains in the body. (a) How much of the drug is in the body just after...

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Q: A patient is injected with a drug every 12 hours. Immediately

A patient is injected with a drug every 12 hours. Immediately before each injection the concentration of the drug has been reduced by 90% and the new dose increases the concentration by 1.5 mg/L. (a)...

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Q: A patient takes 150 mg of a drug at the same time

A patient takes 150 mg of a drug at the same time every day. Just before each tablet is taken, 5% of the drug remains in the body. (a) What quantity of the drug is in the body after the third tablet?...

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Q: Use Poiseuille’s Law to calculate the rate of flow in a small

Use Poiseuille’s Law to calculate the rate of flow in a small human artery where we can take / /

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Q: After injection of a dose D of insulin, the concentration of

After injection of a dose D of insulin, the concentration of insulin in a patient’s system decays exponentially and so it can be written as De-at, where t represents time in hours and a is a positive...

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Q: Determine whether the geometric series is convergent or divergent. If it

Determine whether the geometric series is convergent or divergent. If it is convergent, find its

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Q: Test the series for convergence or divergence. /

Test the series for convergence or divergence.

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Q: When money is spent on goods and services, those who receive

When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call thi...

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Q: A certain ball has the property that each time it falls from

A certain ball has the property that each time it falls from a height h onto a hard, level surface, it rebounds to a height rh, where 0 < r < 1. Suppose that the ball is dropped from an initial height...

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Q: Evaluate the integral. /

Evaluate the integral.

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