Consider relation r(a, b, c, d, e) with the following functional dependencies. 1. a + b 2. e + a 3. ce → d 1. find the key(s) of r? show that the key(s) is/are minimal. 2. find a minimal basis or prove the current basis is minimal. 3. perform a bcnf decomposition of r to find a lossless-join dependency-preserving decompo- sition.

Ajournal bearing has a journal diameter of 3.250 in with a unilateral tolerance of 20.003 in. the bushing bore has a diameter of 3.256 in and a unilateral tolerance of 0.004 in. the bushing is 2.8 in long and supports a 700-lbf load. the journal speed is 900 rev/min. find the minimum oil film thickness and the maximum film pressure for both sae 20 and sae 20w-30 lubricants, for the tightest assembly if the operating film temperature is 160°f. a computer code is appropriate for solving this problem.

Steam enters a converging nozzle at 3.0 mpa and 500°c with a at 1.8 mpa. for a nozzle exit area of 32 cm2, determine the exit velocity, mass flow rate, and exit mach number if the nozzle: negligible velocity, and it exits (a) is isentropic (b) has an efficiency of 94 percent

What is the main objective of using reheat rankine cycle?