Write and find the general solution of the differential equation that models the verbal statement. The rate of change of N is proportional to N. (Use k for the proportionality constant.) dN dt N(t) Evaluate the solution at the specified value of the independent variable. When t = 0, N = 250, and when t = 1, N = 400. What is the value of N when t = 3? N(3) =

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Write and find the general solution of the differential equation that models the verbal statement.
The rate of change of N is proportional to N. (Use k for the proportionality constant.)
dN
dt
N(t)
Evaluate the solution at the specified value of the independent variable.
When t = 0, N = 250, and when t = 1, N = 400. What is the value of N when t = 3?
N(3) =
Transcribed Image Text:Write and find the general solution of the differential equation that models the verbal statement. The rate of change of N is proportional to N. (Use k for the proportionality constant.) dN dt N(t) Evaluate the solution at the specified value of the independent variable. When t = 0, N = 250, and when t = 1, N = 400. What is the value of N when t = 3? N(3) =
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