find an expression that gives the dictation

Calculus
Tutor: None Selected Time limit: 1 Day

Jul 22nd, 2015

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N'(t) = dN/dt = 4e^(−0.05t) for (0 ≤ t ≤ 20) 
∫dN = ∫ 4e^(− 0.05t) dt 
N = 4[1/(- 0.05)] e^(−0.05t) + C 
N = - 80 e^(−0.05t) + C 
when t = 0, N = 65
65 = - 80 e^[(- 0.05)(0)] + C 
C -80 = 65 

C = 145
N(t) = 145 - 80 e^(−0.05t) for (0 ≤ t ≤ 20)

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Jul 23rd, 2015

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