Suppose 383 mg. of a radioactive substance are present in a closed container and additional amounts are 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 for this substance is k = -0.01571 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 233 mg.? t= days. (Round to the nearest day.)

Suppose 383 mg. of a radioactive substance are present in a closed container and additional amounts are 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 for this substance is k = -0.01571 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 233 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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