Shred the carrot with a hand shredder or in a blender. Mix all wet ingredients together in a bowl, then add the pureed banana. Mix together thoroughly. Set aside. Combine the dry ingredients. Add the wet ingredients to the dry and mix thoroughly, leaving no dry mixture on the bottom. Coat a 12 muffin pan with nonstick spray. Fill each muffin hole 3/4 full. Bake about 1 hour at 350 degrees.