96.2k views
0 votes
For The Function Defined As Follows, Find All Values Of X And Y Such That Both Fx(X,Y)=0 And Fy(X,Y)=0. F(X,Y)=7x2+4y2+5xy+33x−7

User Rod Nelson
by
7.1k points

1 Answer

5 votes

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

User Godheaper
by
8.3k points