Suppose that you want to simulate the life cycle of a binary search tree as described on slides 45-48 of the trees lecture slides (cis 256 and cis 279 class notes)preview the document and in section 4.3.5. (average-case analysis) of the textbook by mark allen weisspreview the document. considering the problems that can be caused by random insert/remove pairs, here is a strategy that is not perfectly random, but close enough: initial setup: build a tree with n elements by inserting n elements chosen at random from the range 1 to m , where m is an integral multiple of n, i. e. m = k*n (where k is an integer independent of n).

Apiston-cylinder with a volume of 0.25 m3 holds 1 kg of air (r 0.287 k/kgk) at a temperature of 100 c. heat transfer to the cylinder causes an isothermal expansion of the piston until the volume triples. how much heat is added to the piston-cylinder?

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79

Air is to be cooled in the evaporator section of a refrigerator by passing it over a bank of 0.8-cm-outer-diameter and 0.4-m-long tubes inside which the refrigerant is evaporating at -20°c. air approaches the tube bank in the normal direction at 0°c and 1 atm with a mean velocity of 4 m/s. the tubes are arranged in-line with longitudinal and transverse pitches of sl- st 1.5 cm. there are 30 rows in the flow direction with 15 tubes in each row. determine (a) the refrigeration capacity of this system and (b) pressure drop across the tube bank. evaluate the air properties at an assumed mean temperature of -5°c and 1 atm. is this a good assumption?