Arrange carrots in the bottom of a slow cooker; place corned beef on top. Sprinkle with one-quarter of seasoning packet contents; discard rest of seasoning. Pour broth over all. Cover and cook on low setting for 8 to 10 hours, or on high setting for 5 to 6 hours. Add cabbage wedges, pushing down to moisten. Cover; cook on high setting for an additional 2 to 3 hours. Makes 8 to 10 servings.