assume the centroid of the cup-plus-coffee is represented by the function of the depth y (in cm) of the coffee cup:

f (y)= 7 (3+0.7)^2-64+y^2 /

2(3+0.7)^2-16+2y

Where 0 is less or equal to y less than equal to H.

Calculate the optimal depth y of coffee in your cup. (HINT: the centroid fuction is lowest when f'(y)=0

Round your answer to the nearest whole number. Include the sketch of the centroid function f (y) and verify your solution graphically.A