Drawing a contour diagram

Mar 2013
64
0
Australia
I need help with how you would go about drawing a contour diagram for the equation
z=f(x, y) = 3(x^2)+5x+2(y^2)-y+4
with contours at z=(139/24,259/24,427/24,643/24)
please help me
 

romsek

MHF Helper
Nov 2013
6,746
3,037
California
I need help with how you would go about drawing a contour diagram for the equation
z=f(x, y) = 3(x^2)+5x+2(y^2)-y+4
with contours at z=(139/24,259/24,427/24,643/24)
please help me
I'd put your f(x,y) into standard ellipse form. That gives you the center and shape of the ellipses that will be your contours. From there it's just plotting these for the given value of z.