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Question 1 0 ( a ) The concentration of caffeine in the blood plasma of an adult t hours after they have consumed a 1
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a The concentration of caffeine in the blood plasma of an adult hours
after they have consumed a milligram dose of caffeine can be
modelled by the function: for where
the concentration, is measured in milligrams per litre
Show that the concentration of caffiene in an adult's blood
plasma reaches its maximum at hours.
b On the day Paul's grandson Ollie was born,Paul deposited
into an account earning per annum compounded annually. On each
birthday after this he deposited into the same account, making
his final deposit on Ollie's th birthday. That is a total of deposits
were made. Let be the amount in the account on Ollie's nth birthday
after the deposit is made. Show that
c Find the value of Ollie's account on his th birthday, just after
the final deposit is made.
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