Problem 1: Determine whether or not the following two statements, (a) and (b), are logically equivalent. (You may use truth tables or logical properties.) (a): Parvati is studying calculus and linear algebra and Quinn is studying calculus, but Quinn is not studying both calculus and linear algebra. (b): It is not the case that both Parvati and Quinn are both studying calculus and linear algebra, but it is the case that Quinn is studying calculus and Parvati is studying both calculus and linear algebra.