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Given a tree T of nodes such that each node contains a number. A set of nodes S is an independent set of T iff no node of S is a parent of another node in S. Describe a dynamic programming algorithm to find an independent set of T such that the sum of numbers of nodes in the set is the largest among all possible independent sets of T.
A left-turn movement has a maximum arrival rate of 200 veh/h. The saturation flow of this movement is 1400 veh/h. For this approach, the yellow time is 4 seconds, all red time is 2 seconds and total lost time is 3 seconds.
For the soil and foundation conditions in fig. 1, determine the time required to reach 75% consolidation in the clay given the consolidation test results and determine the coefficient of consolidation
A conventional consolidated drained (CD) triaxial test is conducted on sand. The cell pressure is 100 kPa, and the applied axial stress at failure is 200 kPa.
If a 1.0 m3/s flow water treatment plant uses 10 sedimentation basins with an overflow rate of 15 m3/day.m2, a-what should be the surface area (m2) of each tank?( i got this part right the answer is 567 m2)
The casting has a mass of 3 Mg. Suspended in a vertical position and initially at rest, it is given an upward speed of V mm/s in 0.3s using a crane hook H. Determine the tension in cables AC and AB during this time interval if the acceleration is ..
The rod is made of a-36 steel and has a diameter of .25 in. if the springs are compressed 0.5 in when the temperature of the rod is T=40F, determine the force in the rod when its temperature is T=160 F.
A 1047 steel plate is subjected to a tensile stress of 120 MPa. Given its fracture toughness is 45 MPa?m and Y = 1, (a) Determine the critical crack length to assure the plate will not fail under static loading.
Estimate the convectice heat transfer coefficent on hte outside of oranges (external diameter = 5 cm) when submerged in a stream of chilled water pumped around the orange.
The fixture AC is designed with a screw adjustment to regulate the height of the 900 N load supported by the roller at A. The screw bears against a smooth surface at B. Determine the reaction forces at points B and C. Neglect the weight of the fix..
A 13 foot long C10x25 beam is supported as a cantilever beam where x=0 on the left end. It is subject to no externally applied loads. a) What is the delfection due to self weight at the end of the beam
The initial investment is $12,000 , there is no annual maintenance cost for the first 3 years , however , it will be $2,000 in each of years four and five , and then $4,500 in the sixth year and increasing by $2,500 each year thereafter .
A rigid beam (AB), 12 feet in length, with a point load of 9 kips (4 feet from A) is resting on two short steel rods (AC & BD). Diameter of Rod AC is 1 inch, Rod BD diameter is 2 inches.
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