Question

(a) The population of a city in 2003 was 755932. Assume that the city’s population is...

(a) The population of a city in 2003 was 755932. Assume that the city’s population is growing exponentially given by the following equation: dP/dt = 0.08P

Find the function that satisfies the initial-value problem. After what period of time will the city’s population double?

(b) Iodine-131 has a decay rate of 8.6% per day. The rate of change of an amount N is given by dN/dt = -0.086N, N(0) = N0

Find the function that satisfies the equation in terms of N0. What is its half-life?

Math   Calculus   
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Answer #1

When, t=0, P(0)=755932

When population is doubled,

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