Consider the telecommunication radio tower example given in Problem Two. For a mobile phone moving away from the radio tower at a constant speed of v = 1 km/hr, the total energy (E) received over the travelled distance is given by: where S and F are the distances from the radio tower, at which the mobile started moving and stopped moving, respectively.In other words, energy received is the area under the power curve between the S andF locations as shown in the Figure.

The objective is to determine the total energy, E, for the distance from S to F from the radio tower. \text { a) Compute the total energy, } E, \text { from } S=2 \text { to } F=12 \mathrm{~km} \text {, using Simpson's rule for } h= \Delta x=1 b) Write MATLAB statements to compute the total energy, E, from S=2 to F= 12 km,using the Trapezoidal rule for h-Ar = 1.

E=\int_{S}^{F} \frac{P}{v} d x