A tank initially contains 60 litres of pure water. Brine containing 2 gm of salt per litre is allowed to enter the tank at the rate of 6 litres per minute. The well-stirred mixture leaves the tank at the rate of 3 litres per minute. dQ Q i) Show that the rate of change of salt in the tank is given by 12 dt 20 + t where Q is the amount of salt in the tank at any time t. i) Hence, express the amount of salt in the tank at any time t.

Q: 6) The stopping distance d of a car driven at velocity v by an unimpaired person on a paved road in…

A: Note: As you posted multiple subparts I need to solve only first three sub parts.

Q: We found that salt is added to the tank at a constant rate and it is removed from the tank at a rate…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

A:

Q: A brine solution of salt flows at a constant rate of 5 L/min into a large tank that initially held…

A:

Q: The potential difference (V) across a capacitor that is discharging changes with time (t) according…

A: Sure, here is the graph: Be sure to check the data in the chart to make sure I got it right.

Q: Number 6

A: 6The velocity of a car is given by : v(t)=t2+2t here, v(t) is measured in ft/sec and t is measured…

Q: A brine solution of salt flows at a constant rate of 5 L/min into a large tank that initially held…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.