A person assets start reducing in such a way that the rate od reduction of assets
is proportional to the square root of assets existing at that moment. If the assets
at the beginning are ₹10 lakhs and they dwindle down ₹10,000 after 2 years,
show that the person will be bankrupt in 2 `2/9` years from the start.

Water is being poured into a vessel in the form of an inverted right circular cone of semi vertical angle 45^@ in such a way that the rate of change of volume at any moment is proportional to the area of the curved surfaces which is wet at that moment.Initially the vessel is full to a height od 2 cm,after 2 seconds the height becomes 10 cm.Show that after 3.5 seconds from the start,the height of water will be 16 cm.

The rate of growth of the population of a city at any time t is proportional to the size of the population. For a certain city it is found that the constant of proportionality is 0.04. Find the population of the city after 25 years if the initial population is 10,000. [take, e =2.7182] .