Let a be the set of words in the oxford english dictionary (oed). for each positive integer j, define aj to be the set of all words with j letters in the oed. for example, the word "discrete" is an element of a8 because the word "discrete" has 8 letters. the longest word in the oed is "" which has 45 letters. you can assume that for any integer i in the range 1 through 45, there is at least one word in the oed that has i letters. do the sets a1, …, a45 form a partition of the set of words in the oed?

The mass flow rate of the fluid remains constant in all steady flow process. a)- true b)- false

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Aflywheel accelerates for 5 seconds at 2 rad/s2 from a speed of 20 rpm. determine the total number of revolutions of the flywheel during the period of its acceleration. a.5.65 b.8.43 c. 723 d.6.86