For the Crust: Preheat Oven at 350°F. Prepare brownie mix as described on package. Spread brownie mix in a 9" springform pan. Bake in oven for 15 minutes. Remove from oven and prepare filling.
For the Filling: Preheat Oven at 350°F. Melt Chocolate in double boiler over low heat and stir. Remove double boiler from heat and place to the side. Using an electric mixer blend cream cheese on low speed in a mixing bowl. Use spatula to scrape sides and paddle of mixer. Add in the sugar slowly, and continue to beat until creamy. Add in extracts and mix until blended. Add in eggs one at a time and continue to mix a lowest speed until eggs are incorporated in the batter.
Pour the mixture into your crust and use offset spatula to help scoop out the batter. Spoon melted chocolate over the cream cheese mixture and cut through the mixture several times to achieve a marble effect. Bake for 40 minute or until center jiggles. Remove from oven and let cool on a wire rack. Place in the refrigerator and allow to set. Serve and enjoy your Brownie Swirl Cheesecake