Decide whether the following decomposition of R={M, N, O, P, Q, T}, with the functional dependency set F = {MON, PQ, MTP, OT, ONM, MNO} is dependency-preserving and lossless-join. Show the test matrix. R1(M, O, N) R2(M, N, T, P) R3(M, T, Q)

A1-megabit computer memory chip contains many 27 ff capacitors. each capacitor has a plate area of 3.09 × 10−11 m 2 . determine the plate separation of such a capacitor (assume an empty parallel-plate configuration). the characteristic atomic diameter is 10−10 m = 1 ˚a, and the permittivity of a vacuum is 8.8542 × 10−12 c 2 /n · m2 . answer in units of ˚a.