Assume there is a robot with 4 single-beam laser sensors, measuring distance, one pointing forward, one left, one right, one back. The picture below shows a rectangular environment with that robot (in blue) pointing towards the right (in the direction of the arrow) deployed. The red dotted lines mark the 4 sensor readings. If the robot has to solve the global localization problem, after the robot gets the first sensor readings, the probability distribution over the possible locations in this environment is:

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj