If `u+iv=(3i)/(x+iy+2),`then y in terms of u,v is

If u=f(x),v=g(x), then the value of D^*(udotv) is (D^*u)v+(D^*v)u b. u^2D^*v+v^2D^*u c. D^*u+D^*v d. u v D^*(u+v)

The square root of the complex number z= (u^(2))/(v^(2))+(v^(2))/(u^(2))+(1)/(2i)((u)/(v)+(v)/(u))+(31)/(16) is (in terms of u, v, w )

If u+iv=(2+i)/(z+3) and z=x+iy find u, v

If a + ib = sqrt((u + iv)/(x + iy)) then the value of a^2 + b^2 is:

If u = (x-3)/( 2) and v= ( y-2)/( 3), then cov(u,v) = k cov(x,y) . The value of k is

If y=(u)/(v) , where u and v are functions of x, show that v^(3)(d^(2)y)/(dx^(2))=|{:(u,v,0),(u',v',v),(u'',v'',2v'):}| .

If y=(u)/(v) , where u and v are functions of x, show that v^(3)(d^(2)y)/(dx^(2))=|{:(u,v,0),(u',v',v),(u'',v'',2v'):}| .

If y=(u)/(v) , where u and v are functions of x, show that v^(3)(d^(2)y)/(dx^(2))=|{:(u,v,0),(u',v,v),(u'',v'',2v'):}| .

If (x , y) and (x ,y) are the coordinates of the same point referred to two sets of rectangular axes with the same origin and it u x+v y , where u and v are independent of xa n dy , becomes V X+U Y , show that u^2+v^2=U^2+V^2dot