The gross domestic product of a certain country was Ntt26t30
The gross domestic product of a certain country was N(t)=t^2+6t+300 billion dollars t years after 2000. Use Calculus to predict the percentage change in the GDP during the second quarter of 2008.
Solution
the percentage change in the GDP = dN/dt dN/dt = 2t + 6 2008 , 2nd quarter ==> 8+ 1/2 = 8.5 years So, t = 8.5 years = 23 billion so, percentage change = 23/300 *100 = 7.67 %