- #1

Molderish

- 11

- 0

The problem says :

Make the change of variables

x=ucos−vsin

y=usin+vcos

where the angle 0<(phi)<2 is chosen in order to eliminate the cross product term in

x^2+xy+y^2=6

Then find the standard form of equation in the (uv) variables. (Enter a function of (uv).)

---------------=1

well what I've found the angle is (pi/4) which would eliminates the cross product terms "uv" when i make the substituion..

then I've tried to reorder the equation: x^2+xy+y^2=6 which is an elipse with center at (0,0) ; semimajor axis=2sqrt3 & semiminor axis=2

then i got the equation (x^2/12)+(y^2/4)=1 then change variables again and i got ((ucos(pi/4))-(vsin(pi/4)))^2/12+((usin(pi/4))+(vcos(pi/4)))^2/4.

its incorrect.

If you could make a step by step solution , would be great , thanks in advanced.