Let P(x) be the statement "Student x knows calculus" and let Q(y) be the statement "Class y contains a student who knows calculus." Express each of these as quantifications of P(x) and Q(y).a) Some students know calculus.________________b) Not every student knows calculus.________________c) Every class has a student in it who know s calculus.________________d) Every student in every class knows calculus.________________e) There is at least one class with no students who know calculus.

SolutionStep 1 Given two statements p(x) and Q(y)p(x) : “ student x knows calculus “Q(y) : “ class y contains a student who knows calculus .”