Asked by ally
                Find the absolute maximum and minimum of the function f(x,y)=ysqrt(x)−y^2−x+3y on the domain 0≤x≤9, 0≤y≤6.
            
            
        Answers
                    Answered by
            oobleck
            
    Fx = y/(2√x) - 1
Fy = √x - 2y+3
Fx = Fy = 0 at (1,2)
But this is a maximum.
So, to find the minimum, check f(x,y) at the four corners of the domain.
f(0,6) = -18
    
Fy = √x - 2y+3
Fx = Fy = 0 at (1,2)
But this is a maximum.
So, to find the minimum, check f(x,y) at the four corners of the domain.
f(0,6) = -18
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.