Question

((x²/(a²+u)) + ((y²/(b²+u)) + ((z²/c²+u)) = 1 partial differentiation with solution​

Answer 1

Answer:

Step-by-step explanation:

The equation of the sphere is given by

 

( x –a )2 + ( y- b) 2 +  z2  = 1    _____________ (1)

 

Differentiating (1) partially w.r.t x & y , we get

2        (x-a ) + 2 zp   =       0

2 ( y-b ) + 2 zq  =    0

 

From these equations we obtain

x-a = -zp _________ (2)  

y -b = -zq _________ (3)

Using (2) and (3) in (1),  we get

z2p2 + z2q2 + z 2    = 1

 

or  z2 ( p2  + q2  + 1) = 1

 

suggesting solve

Answer 2

Answer:

Step-by-step explanation: