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Use Euler circles to check the validity of the arguments in Problems 35-46. 35. All mathematicians are eccentrics. All eccentrics are rich. Therefore, all mathematicians are rich. 36. All snarks are fribbles. All fribbles are ugly. I zansidorg Therefore, all snarks are ugly. 37. All cats are animals. This is not an animal. Therefore, this is not a cat. 38. All bachelors are handsome. Some bachelors do not drink lemonade. Therefore, some handsome men do not drink lemonade. 39. No students are enthusiastic. You are enthusiastic. Therefore, you are not a student. 40. No politicians are honest. Some dishonest people are found out. Therefore, some politicians are found out. 41. All candy is fattening. All candy is delicious. Therefore, all fattening food is delicious. 42. All parallelograms are rectangles. 1 6 .81 All rectangles are polygons. Therefore, all parallelograms are polygons. 43. No professors are ignorant. All ignorant people are vain. Therefore, no professors are vain. 44. No monkeys are soldiers. All monkeys are mischievous. Therefore, some mischievous creatures are not soldiers. 45. All lions are fierce. Some lions do not drink coffee. Therefore, some fierce creatures do not drink coffee. 46. All red hair is pretty. No pretty things are valuable. Therefore, no red hair is valuable