calculus

Calculus
Tutor: None Selected Time limit: 1 Day

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.

May 1st, 2015

1)f(x)=2000x^4

g(x)= 200x^4

f'(x)=8000x^3

g'(x)=800x^3

f'(x)=g'(x) when x=0


2)F(t)=t^2+1/1+t

 E(t) =ln(t+7)/t+2


after t=12

f(12)=12^2+1/12+1

       =145/13

       =11.15


E(t) =ln(12+7)/12+2

       =ln19/14

      =0.21


11.15-0.21=10.94

May 1st, 2015

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