6. is this correct? is there anything i could have done better? anything that needs to be added? anything that needs to be taken out?

You are correct, except that 12.72 should be positive, not negative.

max = (140/11, 49/11)

Explanation:

We got the same answer, but I used a different method.

The max point of a parabola is found when its derivative is equal to 0 because the slope at the max point is neither increasing or decreasing.

I just solved for when the derivative is 0 and got

max = (140/11, 49/11)

     or (12.727272, 4.45)

I highly recommend you always leave your answers as a fraction unless they specify you to give a decimal answer. Rounding is never good in math or physic because it could lead to errors in bigger problems.

answer: if though all maps are biased we study them to tell we have to go and use them to tell the direction we have to go but if you don't want to use a compass to find the way to go then the only option is to use the standard maps made by the european's  

explanation: