Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is positive. When oil is moving into the small tank, the flow rate is negative. The large tank begins with 600 gallons of oil. The flow rate is recorded as –4 gallons per minute. After a period of 32 minutes, how much oil has been moved and to which tank?

Flow is given as, F = - 4 gallon per minute into small tank.

( Since, flow is negative )

Volume of oil in large tank, V = 600 gallons.

Now,

Volume of oil has been moved :

Therefore, 128 gallons of oil has been moved to small tank.

Hence, this is the required solution.

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.