Find the approximate value of f (3.02) where f(x) = 3x² + 5x +3.

If f = \(\frac { x }{ { x }^{ 2 }+{ y }^{ 2 } } \) then show that = \(x\frac { \partial f }{ \partial x } +y\frac { \partial f }{ \partial y } \) = -f

Find the linear approximation to \(g(z)=\sqrt [ 4 ]{ zat } z=2\)

If (x,y)=3x²+4y²+6xy-x²y²+5 then find 
(i) fx(1,-1)
(ii) f_xy(1,1)
(iii)fxy(2,1)