- #1

- 479

- 4

^{2}+ y

^{2}+ z

^{2}- 2x subject to the constraint g(x,y,z) = x

^{2}+ y

^{2}+ z

^{2}- 25 = 0

Step 1:

L = f - [tex]\lambda[/tex]g = x

^{2}+ y

^{2}+ z

^{2}- 2x - [tex]\lambda[/tex](x

^{2}+ y

^{2}+ z

^{2}- 25).

Step 2:

L

_{x}= 2x - 2 - 2[tex]\lambda[/tex]x = 0

L

_{y}= 2y - 2[tex]\lambda[/tex]y = 0

L

_{z}= 2z - 2[tex]\lambda[/tex]z = 0

What do I do now? Please help.