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Unformatted text preview: P ( t ) = P (0) e kt . 8. (a) Use formula k =-ln 2 t 1 / 2 , where t 1 / 2 = 5 in this case. Substitute into m ( t ) = 800 e kt to nd the model function: m ( t ) = 800 2-t/ 5 . (b) 12.5 (c) Set m ( t ) = 1 in the model function and solve for t = 48 . 2 days. (d) Graph is decaying exponential, y-intercept 800. 16. The standard heating/cooling model can be written T ( t ) = T s + ( T (0)-T s ) e kt , where T s is the temperature of the surroundings. .. HW 19 HW 20...
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