Calculus problem

Calculus
Tutor: None Selected Time limit: 1 Day

i need help with the following question. please include a step by step explanation on how u got the answer

http://imgur.com/4YEfyAN

Dec 4th, 2015

Thank you for the opportunity to help you with your question!

Rate of change in country's national market is 

D'(t) = 31.394t +70.561

So the country' national market debt is calculated by the integration of D'(t)

D(t) = integral of (31.394t +70.561) dt

       = integral of (31.394t  ) dt + integral of (70.561) dt

         = (31.394t^2) / 2 + 70.561t + C 

As given D(0) = 2570.837

So 

D(0) = 0 + 0 + 2570.837

So D(t) = (31.394t^2)/ 2 + 70.561t + 2570.837


Please let me know if you need any clarification. I'm always happy to answer your questions.
Dec 4th, 2015

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