Question

Carbon 14, with a half-life of 5700 years, is used to estimate the age of organic materials. What fraction of the original amount of carbon 14 would an object have if it were 2000 years old? (a) $e^{-\frac{20}{57} \ln 2}$ (b) $-e^{-\frac{20}{57} \ln 2}$ (c) $\frac{57}{20} \ln 2$ (d) $e^{\frac{20}{57} \ln 2}$ (e) $\frac{1}{57} \ln 20$ (f) $\frac{20}{57}$ (g) $\frac{20}{57} \ln 2$ (h) $e^{\frac{57}{20} \ln 2}$ Question 9: (1 point) Solve the differential equation $y' = 5y(1000 - y)$ subject to the initial condition $y(0) = 500$. From your solution, find the value of the limit $\lim_{t \to \infty} y(t)$ (a) 100 (b) 1000 (c) 200 (d) 500 (e) 2500 (f) 5000 (g) 20000 (h) 2000

          Carbon 14, with a half-life of 5700 years, is used to estimate the age of organic materials. What fraction of the original amount of
carbon 14 would an object have if it were 2000 years old?
(a) $e^{-\frac{20}{57} \ln 2}$
(b) $-e^{-\frac{20}{57} \ln 2}$
(c) $\frac{57}{20} \ln 2$
(d) $e^{\frac{20}{57} \ln 2}$
(e) $\frac{1}{57} \ln 20$
(f) $\frac{20}{57}$
(g) $\frac{20}{57} \ln 2$
(h) $e^{\frac{57}{20} \ln 2}$
Question 9: (1 point)
Solve the differential equation $y' = 5y(1000 - y)$ subject to the initial condition $y(0) = 500$. From your solution, find the value of
the limit $\lim_{t \to \infty} y(t)$
(a) 100
(b) 1000
(c) 200
(d) 500
(e) 2500
(f) 5000
(g) 20000
(h) 2000

$Carbon 14, with a half-life of 5700 years, is used to estimate the age of organic materials. What fraction of the original amount of carbon 14 would an object have if it were 2000 years old? (a) e^-(20)/(57)ln 2 (b) -e^-(20)/(57)ln 2 (c) (57)/(20)ln 2 (d) e^(20)/(57)ln 2 (e) (1)/(57)ln 20 (f) (20)/(57) (g) (20)/(57)ln 2 (h) e^(57)/(20)ln 2 Question 9: (1 point) Solve the differential equation y' = 5y(1000 - y) subject to the initial condition y(0) = 500. From your solution, find the value of the limit limt →∞ y(t) (a) 100 (b) 1000 (c) 200 (d) 500 (e) 2500 (f) 5000 (g) 20000 (h) 2000$

Added by Leslie T.

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