6. A rocket is loaded with liquid oxygen fuel propellant in preparation for lift-off on a journey to the Moon. The total fuel ( in pounds) is stored in two separate tanks, each with different total fuel capacities.
The total amount of fuel in both tanks is given by:
F(t) = [(t- 6)^(-2)][(3t +5)^(5/3)]
Where: F(t) is the total amount of fuel (lbs) in both tanks after t seconds of flight
t = the time in seconds;
Assume: At t = 0, both fuel tanks are full.
Find the Instantaneous Rate of Fuel consumption function
(lbs/second) as the rocket makes its journey to the moon.
Find the rate of fuel consumption at t = 10 seconds into the flight.
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