Determine whether R is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, or transitive. If the relation fails to have a property, give an example showing why it fails. Let
A={1,2,3,4}
and R be a relation on the set A defined by:
R={(1,1),(2,2),(3,3),(1,2),(2,1),(1 ,4),(3,2),(3,1),(3,4),(4,2),(4,1)}

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)