= ax2 2.7 Consider a particle of mass m that is constrained to move along a parabola z nder the influence of gravity in a vertical plane. Use the method of Lagrange's undetermined multipliers to determine the equations of motion for the particle. (5) 8 Maximize the volume V = rh for a cylinder of radius a and height h, subject to the raint f(a, h) = 2a + h-1=0. (5)