Determine for which values of m the function φ (x) = x^m is a solution to the given equation. (a) 3x^2 d^2y/dx^2 + 11x dy/dx - 3y = 0 (b) x^2 d^2y/dx^2 - x dy/dx - 5y = 0

If the endpoints of the diameter of a circle are (8, 6) and (2,0), what is the standard form equation of the circle? a) (x + 5)2 + (y + 3)2 = 18 (x + 5)2 + (y + 3)2 = 3.72 (x - 5)2 + (y - 3)2 = 18 d) (x - 5)2 + (y - 3)2 = 32