Calculus Calculations

  1. Show that f(x) = 2000x^4 and g(x) = 200x^4 grow at the same rate. 2.Oil flows into a tank according to the rate F(t)=t^2+1/1+t, and at the same time empties out at the rate E(t)=in(t+7)/t+2, with both F(t) and E(t) measured in gallons per minute. How much oil, to the nearest gallon, is in the tank at time t = 12 minutes. You must show your setup but can use your calculator for all evaluations.

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