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(1) Let P(z) be "r is math major at UCCS" and Q(z) be "z is an engineering major at UCCS". (a) Express "Every math major at UCCS is a not an engineering major (at UCCS)" as a formula if the domain for r is the collection of all UCCS math majors. (I do a problem VERY similar to this in the notes) (b) Express "Every math major at UCCS is an engineering major (at UCCS)" as a formula if the domain for r is the collection of all UCCS students. (c) Express "There exists a math major at UCCS that is an engineering major (at UCCS)" if the domain for r is the collection of all math majors at UCCS. (d) Express "There exists a math major at UCCS that is an engineering major (at UCCS)" if the domain for r is the collection of all UCCS students.

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