Find a polFind a polynomial of degree at most two, of the form f(t) = a+bt+ct2 , whose graph goes through the points (1, p),(2, q),(3, r), where p, q, r are arbitrary constantynomial of degree at most two, of the form f(t) = a bt ct2 , whose graph goes through the points (1, p),(2, q),(3, r), where p, q, r are arbitrary constantGiven a set of particles in the plane with position vectors r1, r2, , rn and masses m1, m2, ..., mn, the position vector of the center of mass of the system is rcm = 1 M (m1r1 + m2r2 + + mnrn), where M = m1 + m2 + + mn. Consider the triangular plate in the picture. How must a total mass of 1 kg be distributed among the three vertices of the plate so that the plate can be supported at the point 2 2 . That means rcm = 2 2 . You can assume the mass of the plate itself is negligible. Fill in the boxes, and justify your answers