41. Match the functions (a)-(d) with the shapes of their typ- ical level curves (I)-(IV). (a) f(x, y) = (b) fx. y) = x2+1 x2+2v2 -2+1 X (c) f (x, y) = (d) f (x, y) = 12 + 1 x2+x+1 I. Circles II. Parabolas III. Hyperbolas IV. Ellipses