3. Given the parametric equations x = 3t /1 + t^3 and y = 3t^2/1 + t^3 . a) Show that the curve produced also satisfies theequation x^3 + y^3 = 3xy. b) Compute the limits of x and y as tapproaches −1: i. from the left ii. from the right c) To avoid theissue in part b), graph the curve twice in the same command, oncefor −5 < t < −1.5 and once for −0.5 < t < 5. d) Repeatpart c) using the domains −100 < t < −1.5 and −0.5 < t< 100. In a print command, state how this plot is different fromthe plot in part c)
