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Homework Statement R is a relation on the integers, xRy if x^2=y^2. Determine the distinct equivalence classes. Homework Equations [x]={yεZ}|yRx} Where Z is the set of integers The Attempt at a Solution [n]={-n, n} where n is an integer is this correct?

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Homework Statement 1) (∀xεℝ)((x≠0)→((∃yεℝ)(xy=1) 2) (∃yεℝ)(∀xεℝ)((x≠0)→(xy=1)) Homework Equations ∃ - there exists ∀ - for all → implication The Attempt at a Solution The brackets and implication are throwing me for a loop 1) for all real numbers, there exist...

I understand now, thanks

Homework Statement Find velocity and position as functions of time t for a particle of mass m, which starts from rest at x=t=0, subject to the following force functions. a) F=Fosin(ct) Homework Equations F=ma The Attempt at a Solution a) a=Fosin(ct)/m dv/dt =...