The reverse of a string, introduced informally above, can be defined more precisely by the recursive rules aR = a, (wa)R = awR, for all a ∈ Σ, w ∈ Σ*. Use this to prove that (uv)R = vRuR, for all u, v ∈ Σ+.

For each of the following claims, determine whether they are true or false. justify your determination (show your work). if the claim is false, state the correct asymptotic relationship as o, θ, or ω. unless otherwise specified, lg is log2.(a) (b) (c) (d) (e) (f) (g) (h) (i) (j)n+1 =22n =2n =1 =ln2 n =n2 +2n−4 =33n = 2n+1 =√n = 10100 =o(n4) o(2n)θ(2n+7 ) o(1/n)θ(lg2 n) ω(n2 )θ(9n ) θ(2n lg n )o(lg n) θ(1)

Which law requires employers to provide safe working environments for their employees? a. civil rights act b. fair labor standards act c. occupational safety and health act d. wagner act

The most common battery cable terminal is a that provides a large surface contact area with the ability to tighten the terminal onto the battery post using a nut and bolt.