In
large bowl, beat cake mix, water, 1/2 cup butter, cinnamon, nutmeg, 2
teaspoons vanilla and eggs on low speed 30 seconds. Beat on medium speed
2 minutes, scraping bowl occasionally. With spoon, stir in carrots and
pecans. Spread in pan. Bake
36 to 41 minutes for 8-inch pan or 33 to 38 minutes for 9-inch pan or
until toothpick comes out clean. Cool completely, about 1 hour. In
large bowl, beat cream cheese, 2 tablespoons butter, 1/2 teaspoon
vanilla and 1 teaspoon milk with electric mixer on low speed until
smooth. Gradually beat in powdered sugar, 1 cup at a time, until smooth
and spreadable. If frosting is too thick, beat in more milk, a few drops
at a time. Stir in coconut. Spread frosting over cake..