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.
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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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