The government of a certain country estimates that t years from now, imports will be increasing at the rate I'(t) and exports at the rate E'(t), both in billions of dollars per year, where

The trade deficit is D(t) = I(t) − E(t). By how much will the trade deficit for this country change over the next 5 years? Will it increase or decrease during this time period?

Transcribed Image Text:

I' (t) = 12.5e0.2 and E' (t) = 1.7t + 3