Suppose 308 mg. of a radioactive substance are present in a closed container and additional amounts...

 

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Suppose 308 mg. of a radioactive substance are present in a closed container and additional amounts are added at the rate of 2 mg. per day. a) Find a formula for y(t), the rate of change of the amount present at time t, if the decay constant for this substance is k = -0.01538 day ¹. Use y and t as variables where needed. y' (t) = b) Find the limiting amount yy as t → ∞0. mg. (Round to 1 decimal place.) c) After how long will the amount present be 167 mg.? t= days. (Round to the nearest day.) Suppose 308 mg. of a radioactive substance are present in a closed container and additional amounts are added at the rate of 2 mg. per day. a) Find a formula for y(t), the rate of change of the amount present at time t, if the decay constant for this substance is k = -0.01538 day ¹. Use y and t as variables where needed. y' (t) = b) Find the limiting amount yy as t → ∞0. mg. (Round to 1 decimal place.) c) After how long will the amount present be 167 mg.? t= days. (Round to the nearest day.)