a) A container is made up of a hollow inverted right circular cone whose height is \( 24\text{ cm} \) and the radius at the top is \( 16\text{ cm} \)…

a) A container is made up of a hollow inverted right circular cone whose height is \( 24\text{ cm} \) and the radius at the top is \( 16\text{ cm} \) Water is flowing in the container at the rate of \( 8\text{ cm}^3\text{/sec} \)and find rate of change of depth of water when depth is \( 12\text{ cm} \). 

b) Integrate : \( \int \frac{y^2 + 1}{(y^2 + 49)(y^2 + 4)} \, \)

c) Solve : \( xdy + ydx = \sqrt{x^2 + a^2} \, dx \)