Analysis 3: Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by the patient tissue is expected to be as follows: SAR(t) = √√2t + e0.¹t+2 where, t is time in seconds. 1. Formulate a mathematical model for the dosage of exposure, D(t). Hint: the dosage is the area under the SAR curve. 2. Plot the SAR function for the first 80 seconds 3. Manually estimate the total dosage from 40 to 60 seconds using the Mid-ordinate Rule, Trapezoidal Rule, and Simpson's Rule using 5 intervals, and again using 10 intervals. Show details of your steps. You should validate the mathematical model for your solutions using MATLAB. Show details of your program and results. You should compare between the Mid-ordinate Rule, Trapezoidal Rule, and Simpson's Rule methods applied in terms of applicability, accuracy, and converging speed.

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