For each argument below write the corresponding argument form. Then determine whether the argument is valid. If the argument is valid provide a proof of validity using rules of inference. If the argument is not valid provide an appropriate construction.(a) Every dog is a carrot. There is at least one dog. Every dog likes singing. Therefore, every carrot likes singing.(b) Some people like coee. Every person does not like reading or does not like dancing. Some people do not like dancing and do not like coee. Therefore, there are people who do not like reading and like coee.