Microeconomics Auction type question

There are two bidders in an auction for a single1 indivisible good, whose valuations are inde- pendently and uniorml},r distributed on the interval [[15 1] a. Show that in a second-price auction, it is an equilibrium for each player to bid according to the bidding function h} (1:) = u. b. Show that in a first-price auction, it is an equilibrium for each player to bid according to thc bidding function {15(1)} = 3,12. c. Show that the equilibrium revenue for the seller is the same in the retrprice auction as in the secondprice auction