Final answer:
To find all values of x and y such that both Fx(X,Y)=0 and Fy(X,Y)=0, we need to solve the given equations simultaneously.
Step-by-step explanation:
To find all values of x and y such that both Fx(X,Y)=0 and Fy(X,Y)=0,
we need to set Fx(X,Y) and Fy(X,Y) equal to zero and solve for x and y.
The function is given as F(X,Y)=7x^2+4y^2+5xy+33x-7.
Setting Fx(X,Y)=0, we have 14x+5y+33=0.
Setting Fy(X,Y)=0, we have 8y+5x=0.
By solving these two equations simultaneously, we can find the values of x and y.
Learn more about Solving simultaneous equations