" (i) "y=x^(2),(0,0)" बिन्रू८७ "

If [(1,4),(2,0)] = [(x,y^(2)),(z,0)] y lt 0 then x-y+z is equal to

Let g(x,y) = (x^(2)y)/(x^(4) + y^(2)) for (x,y) ne (0,0) and f(0,0)=0. (i) Show that lim_((x,y) to (0,0)) g(x,y)=0 along every line y=mx, m in R . (ii) Show that lim_((x,y) to (0,0)) g(x,y) = k/(1+k^(2)) , along every parabola y=kx^(2), k in R{0} .

If [(x+y, x-2),(2x-y,0)] = [(2,2),(1,0)] then find the values of x,y?

If f (x,y) =e ^(2x+3y) find 3f_(x) (0,0) - 2f_(y) (0,0):