Calculus problem in Social Sciences I need help?

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Dianne B

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population growth rate. The population of a city grows from an initial size of 100,000 to an amount P given by P(t) = 100,000+2000t^2, where t is in years. a) find the growth rate b) find the number of people in the city after ten yr (at t=10) c) find the growth rate at t=10 d) explain the meaning of your answer to part (a) and (c)
 
a) dP / dt = 4000 * t

b) P(10) = 100,000 + 2000 * (10)^2 = 300,000

c) dP / dt = 4000 * t. At t = 10, growth rate is 40,000

d) The growth rate is the rate of change at any time t. This is the derivative of the function, which measures the rate of change.
 
a) dP / dt = 4000 * t

b) P(10) = 100,000 + 2000 * (10)^2 = 300,000

c) dP / dt = 4000 * t. At t = 10, growth rate is 40,000

d) The growth rate is the rate of change at any time t. This is the derivative of the function, which measures the rate of change.
 
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