(a) Show that y2 + x – 3 = 0 is an implicit solution to dy/dx = -1/ (2y) on the inte...

(a) Show that y² + x – 3 = 0 is an implicit solution to dy/dx = -1/ (2y) on the interval (- ∞, 3)

(b) Show that xy³ – xy³ sin x = 1 is an implicit solution to

on the interval (0, π/2) .