Suppose that f ( x , y ) = x 2 − x y + y 2 − 3 x + 3 y , with domain d constrained by the lines y = x , y = 0 , and x = 3 . the critical point of f ( x , y ) restricted to the boundary of d , but not at a corner point, is at ( a , b ) , where a and b . the absolute minimum of f ( x , y ) is and the absolute maximum is 9 correct .

your answer is a

step-by-step explanation:

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see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph