Find derivative dy in following. laws. dx x ty +3 xy = 5 at ( x ,y ) = 1. 2 Y = Sinx 3. (us(x ) = 2 tanly + a 4. y = 2 + In Sinx 5. y = sin(losx)Nel-cf Limniza-lwan fay/WWI\[5] 2. (3) Evaluate the following limit; lim [e' +t]l/". t>0+ [8] (b) Sand is pouring out of a tube at 4 cubic meters per second. It forms a pile which has the shape of a cone. The height of the cone is equal to the radius of the circle at its base. How fast is the sandpile rising when it is 2 meters high? Please provide a diagram. Note: the volume of a cone is given by V:#m