**Question no : 1**

Water is being poured into a trapezoidal tank (shown below) at a rate pf 2.4 cubic meters per minute.

[a] Find an expression for the volume of water in the tank in terms of its depth.

[b] Find the rate at which the water level is rising when the depth is 0.5 meters.

[c] Find the rate at which the exposed surface are of the water is increasing after 1 minute.

Solution: