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.

Ariver flows from north to south at 8 km/h. a boat is to cross this river from west to east at a speed of 20 km/h (speed of the boat with respect to the earth/ground). at what angle (in degrees) must the boat be pointed upstream such that it will proceed directly across the river (hint: find the speed of the boat with respect to water/river)? a 288 b. 21.8 c. 326 d. 30.2

Vibration monitoring this technique uses the noise or vibration created by mechanical equipment and in seme cases by plant systems to detemine their actual condtion. a)- true b)- false

Inadequate stores control is not an obstacle to effective work order system. (clo4) a)-true b)-false