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

http://imgur.com/4YEfyAN

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)

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

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

As given D(0) = 2570.837

So

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

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