9] 6. Newt Scamander is about to embark on a journey to find the rather elusive crumple- horned snorkack. There are rumors that this animal only eats platypus eggs, so before leaving Newt sends one of his friends to buy n platypus eggs. Platypus eggs come in packs of 9 and 14 eggs only (don't ask why, it takes too long to explain) 2 a. Prove that there is no way for Newt's friend to buy exactly 103 platypus eggs. 7] b. Prove that it is possible for Newt's friend to buy exactly x platypus eggs for every integer z 2 104. Hint: use mathematical induction. Clearly state the base case, your induction hypothesis, and your proofs for the base case and induction step 9] 6. Newt Scamander is about to embark on a journey to find the rather elusive crumple- horned snorkack. There are rumors that this animal only eats platypus eggs, so before leaving Newt sends one of his friends to buy n platypus eggs. Platypus eggs come in packs of 9 and 14 eggs only (don't ask why, it takes too long to explain) 2 a. Prove that there is no way for Newt's friend to buy exactly 103 platypus eggs. 7] b. Prove that it is possible for Newt's friend to buy exactly x platypus eggs for every integer z 2 104. Hint: use mathematical induction. Clearly state the base case, your induction hypothesis, and your proofs for the base case and induction step