Consider the curve y x3-5x2 7x-2 (a) find all stationary points of the curve. (b) determine the nature of the stationary points found. (c) check for any points of inflexion on the curve. (be sure to show the change in concavity either side) (2 marks) (1 mark) (2 marks) (d) given that x 2 is one of the x-intercepts determine ifthere are anythers and f there are lecate (2 marks) these (2 marks) (e) find the global minimum and global maximum when the domain for the function is restricted to /0,3] (1 mark) (f) provide a neat sketch of the function over this domain.