A sample of radioactive material decays over time (measured in hours) with decay constant .5. The graph of the exponential function y = P(t), shown on the right, gives the number of grams remaining after t hours. (a)How much was remaining after 1 hour? (b)Approximate the half-life of the material. (c)How fast was the sample decaying after 5 hours? (d)When was the sample decaying at the rate of .3 grams per hour? Ay 9- 7- 5- 3- y = P(t) 1-

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Chapter2: Second-order Linear Odes
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A sample of radioactive material decays over time (measured in hours) with decay
constant .5. The graph of the exponential function y = P(t), shown on the right, gives
the number of grams remaining after t hours.
(a)How much was remaining after 1 hour?
(b)Approximate the half-life of the material.
(c)How fast was the sample decaying after 5 hours?
(d)When was the sample decaying at the rate of .3 grams per hour?
Ay
9-
7-
5-
3-
y = P(t)
1-
3
5
g remaining.
(Round to the nearest integer as needed.)
(a) After 1 hour there were
Transcribed Image Text:A sample of radioactive material decays over time (measured in hours) with decay constant .5. The graph of the exponential function y = P(t), shown on the right, gives the number of grams remaining after t hours. (a)How much was remaining after 1 hour? (b)Approximate the half-life of the material. (c)How fast was the sample decaying after 5 hours? (d)When was the sample decaying at the rate of .3 grams per hour? Ay 9- 7- 5- 3- y = P(t) 1- 3 5 g remaining. (Round to the nearest integer as needed.) (a) After 1 hour there were
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