1. (a) The amount of U-238 in a sample decays exponentially. Every 2 billion years, 27% of the sample remains. If U(t) is the percentage of the sample remaining after t billion years, find a formula for U(t)? (If you are unable to do part (a), you may use the function U(t) = 80e /3 for the remaining parts). (b) Find the relative growth rate r, the constant growth factor b, and continuous growth rate k.

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Chapter1: Chemical Foundations
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1. (a)
The amount of U-238 in a sample decays exponetially. Every 2 billion years, 27% of the
sample remains. If U(t) is the percentage of the sample remaining after t billion years, find a
formula for U(t)? (If you are unable to do part (a), you may use the function U(t) =80e-/3 for
the remaining parts).
(b)
Find the relative growth rate r, the constant growth factor b, and continuous growth rate k.
(c)
way to do this problem very easily.)
Find the percentage change of U(t) between on the interval (3000, 3001). (Hint: there is a
Transcribed Image Text:1. (a) The amount of U-238 in a sample decays exponetially. Every 2 billion years, 27% of the sample remains. If U(t) is the percentage of the sample remaining after t billion years, find a formula for U(t)? (If you are unable to do part (a), you may use the function U(t) =80e-/3 for the remaining parts). (b) Find the relative growth rate r, the constant growth factor b, and continuous growth rate k. (c) way to do this problem very easily.) Find the percentage change of U(t) between on the interval (3000, 3001). (Hint: there is a
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