Suppose 294 mg. of a radioactive substance are present in a closed container and additional amounts ar added at the rate of 3 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 fo this substance is k = -0.02308 day-¹. Use y and t as variables where needed. y' (t) = b) Find the limiting amount y, as t → ∞. mg. (Round to 1 decimal place.) c) After how long will the amount present be 155 mg.? t = days. (Round to the nearest day.)
Suppose 294 mg. of a radioactive substance are present in a closed container and additional amounts ar added at the rate of 3 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 fo this substance is k = -0.02308 day-¹. Use y and t as variables where needed. y' (t) = b) Find the limiting amount y, as t → ∞. mg. (Round to 1 decimal place.) c) After how long will the amount present be 155 mg.? t = days. (Round to the nearest day.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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