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A sample initially contains 200 grams of a certain radioactive isotope. After 5 hours, the amount...

A sample initially contains 200 grams of a certain radioactive isotope. After 5 hours, the amount has decayed to 177 grams. Let A(t) denote the amount (in grams) of the isotope after t hours. Assume that

A ( t ) = C e ^(k t )

for some constants C and k.

At what rate is the isotope decaying (in grams per hour) when t=6? Hint: use a derivative.

Math   Calculus   
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