Find the absolute maximum and minimum values of f on the set D. f(x, y) = x3 − 3x − y3 + 12y + 4, D is quadrilateral whose vertices are (−2, 3), (2, 3), (2, 2), and (−2, −2).

The maximum of the function is at  

Step-by-step explanation:

Remember at that the maximum and minimum of a multivarable function

For this case  

Therefore you have to solve the equations

Solving the equations you get   , and those points are located at the quadrilateral given.

There are no more critical points.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: