Let w(s, t)=F(u(s, t),v(s, t)),where F, u and v are differentiable, u(1,0)=2
us=(1,0)=-2,ut=(1,0)=6,v(1,0)=3,vs( 1,0)=5,vt(1,0)=4,Fu(2,3)=-1, Fv(2,3)=10

Find ws(1,0) AND wt(1,0)

Step-by-step explanation:

u                              v

To find :

we have to use the above equation, which is subscription notation

w(s, t) = F(u(s, t), v(s, t))

(1, 0) = ((u(1, 0), v(1, 0)), (u(1, 0), v(1, 0))) · ((1, 0), (1, 0))

           = ((2, 3), (2, 3)) · (−2, 5)

           =  expand

           =

           =

To find :

 wt(1, 0) = ((u(1, 0), v(1, 0)), (u(1, 0), v(1, 0))) · ((1, 0), (1, 0))

             = ((2, 3), (2, 3)) · (6, 4)

             =   expand

             =

             =

it's both, now can you answer my most recent question?

answer: 177/8

step-by-step explanation: