Deflection of beams using moment of area method

[mariechap89]

I have attached the original question and my attempt at the solution.
I think I am on the right path but I am not sure. Can some one please direct me on if I am right so far and what to do if i am/ am not.
Thanks

 

[PhanthomJay]

That looks good for the deflection at the free end ...be sure to use the correct units when you crank out the numerical solution. Now what about the slope at the free end?