Preheat oven to 350 degrees. Combine all of the dry ingredients.
In a mixer, beat the eggs very well (3-4 minutes). Add the sugar, oil, 3/4 can of Coca-Cola, and the vanilla. Beat well. Mix in the dry ingredients until the batter is smooth. Fold in the carrots and the nuts. Mix just until incorporated.
Pour the batter into a 13-x-9" greased and floured cake pan. Bake for 40-50 minutes until the cake tests done.
During the last 5 minutes of the baking, bring the syrup to a low boil. Remove the cake from the oven, and while the cake is still hot, take a fork and prick holes all over the cake. Pour the Coca-Cola syrup slowly and evenly over the top of the cake.
Serve the cake warm or cold garnished with the sweetened whipped cream.