Determine which of the following subsets of r 3 are subspaces. briefly explain. i) the set s1 of vectors (x, y, z) ∈ r 3 such that xyz = 0 ii) the set s2 of vectors (x, y, z) ∈ r 3 such that x + y + z = 0 iii) the set s1 of vectors (x, y, z) ∈ r 3 such that y 2 + z 2 = 0 iv) the set s1 of vectors (x, y, z) ∈ r 3 such that y 2 − z 2 = 0

On coral island in 2012, the labor force is 12,000, the unemployment rate is 10 percent, and the labor force participation rate is 60 percent. during 2013, 200 unemployed people found jobs and the working-age population increased by 1,000. the total number of people in the labor force did not change. the working-age population at the end of 2013 was the unemployment rate at the end of 2013 was round up to the second decimal. the labor force participation rate at the end of 2013 was round up to the second decimal.