Question

find Ur and Us if u= x^2-y^2 ,x= 2r-3s+4 and y= -r+8s+5​

Answer 1

Answer:

Ur= 6r+4s+26 , Us= 4r+110s-104

Given:

u= x^2-y^2 ,x= 2r-3s+4 and y= -r+8s+5​

To find:

Ur, Us

Solution:

   u=(2r-3s+4 )² +(-r+8s+5​)²

   du/dr= 2*(2r-3s+4 )*2 + 2*(-r+8s+5​)*(-1)

             = 6r+4s+26

   du/ds = 2*(2r-3s+4 )*(-3) + 2*(-r+8s+5​)*(8)

              = 4r+110s-104

Hence, Ur= 6r+4s+26 , Us= 4r+110s-104

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