Consider the wave equation for the infinite string on the entire real line    utt − uxx = 0 x ∈ R, t > 0 u(x, 0) = 0 ut(x, 0) = ψ(x) with ψ(x) = ( 0, x ≤ 4 1, 4 < x. Find the values of u(t, x) for all (t, x) and write down the answers on the regions of the (t, x)-plane. (4 pts) Draw the profile of the string at times t = 2 and t = 4. (2 pts)

What signals you that factoring by grouping is the best method to use when factoring a problem?

Hii1977 cleaner shrimp are a species of shrimp that clean parasites from other organisms. fish allow the shrimp to eat the parasites in their mouth. the shrimp get a source of nutrition. the relationship between the shrimp and the fish is this association indicates that for the smaill aneser arecommensal,mutualistic,or parasitic for the begger one the anser are the shrimp and fish benefit each other , the shrimp harm the fish, or the fish do not benetit from the shrimp

Can some one me with these questions