A. Give an example of a digraph that has a closed walk including two vertices but has no cycle including those vertices.
b. Prove Lemma 10.2.6:
Lemma. The shortest positive length closed walk through a vertex is a cycle

On a average work day more than work place firs are reorted

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.

Which from the following instrument is commonly used to detect the high pitch butzing sound in bearings? [clo4] a)-digital ultrasonic meter b)-infrared camera c)-spectroscopic d)-vibrometer