Identify the following statement whether it is a Universal Statement, Conditional Statement, or Existential Statement. 1. There is a state called Wisconsin. 2. Every dog wags its tail. 3. All students do homework. 4. If I eat a pint of ice cream, then I will gain weight. 5. There exists an integer whose square root is an integer. 6. If my dog barks, then my dog observed something that excited him. 7. There is a real number whose product with every real number equals zero. 8. Every nonzero real number has a reciprocal. 9. All positive numbers have square root. 10. Some real number has the property that its product with every real number equals zero.