Oil flows into a tank according to the rate F of t equals the quotient of t squared plus 1 and the quantity 1 plus t , and at the same time empties out at the rate E of t equals the quotient of the natural log of the quantity t plus 7 and the quantity t plus 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.

10.94 gallons

Step-by-step explanation:

The rate of flow is given by the equation:

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

The rate at which it empties:

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

Where t represr ts time in both equations

Amount of oil, to the nearest gallon, is in the tank at time t = 12 minutes

We can get this by taking the difference of both equations since it is occurring at the same time 't'

That is : F(t) - E(t)

At t= 12

[ (t^2+1) / (t + 1) ] - [ ln (t + 7) / (t + 2) ]

F(12) = (12^2 + 1) / (12 + 1) = 145/13 = 11.1538

E(12) = In(12 +7) / (12 + 2) = In(19) / 14 =

E(12) = 2.9444389 / 14 = 0.2103

F(t) - E(t) = (11.1538 - 0.2103) = 10.9435 gallons

44

step-by-step explanation:

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.