Consider the weighted interval scheduling problem, we have the following iterative solution (see 1.2.6 (and earlier sections if needed) of L6) to the problem: Assume we have n requests (1. n). For each request i, v) is the value of I. Recall we have defined function previous in class. Line 1: for i from 0 ton, M[:= 0. Line 2: for i from 1 ton, MD := max(vl) + M [previous()), M[i-1]) a) Write down precisely what is the intended meaning of the data structure MI...]
b) Why do we do line 1?
c) Explain the meaning of MCU := max(v()+ M[previous()), M[i-1]) in Line 2.

Amass of 1.5 kg of air at 120 kpa and 24°c is contained in a gas-tight, frictionless piston-cylinder device. the air is now compressed to a final pressure of 720 kpa. during the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. calculate the boundary work input during this process.

If the thermal strain developed in polyimide film during deposition is given as 0.0044. assume room temperature is kept at 17.3 c, and thermal coefficient of expansion for the film and the substrate are 54 x 10^-6c^-1 and 3.3 x 10^-6c^-1respectively. calculate the deposition temperature.

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.