parts 1,2,3,4 please You are working as an Engineering Technician at GEMR, which specializes in designing and developingmedical equipment such as Magnetic Resonance Imaging (MRI) systems, X-ray systems, and RadioFrequency (RF) antennas coils. You will be working with the MRI and RF coils team to design a threeantenna RF coil, as shown in Figure 1(b), to be used in conjunction with an MR machine. The RF coil willbe placed on the patient head during the MR scan, see Figure 1(a). The RF coil will be exposed to an RFpulse that is in conjunction with the magnetic field of the MR scanner, Figure 1(a), receives signals fromthe brain as current flowing in the antennas. These currents are then converted into an image of thebrain as seen in Figure 1(c). Your responsibility is to carry out mathematical analysis of the RF coil topredict the performance of the antennas before they can be tested on human beings.RF PuleAntenna Aetenna 2 Aatensa 3(a)Figare 1: (a) MR machine, (b) throe loop antenmax, and (0) brain MR image Analysis 2:The voltage potential, v(t), builds up on the loops, based on the orientation of the magnetic field duringan MR scan is given by:v[t) = 0.250t4 + 0.166t3 – 0.500t2And the voltage at time t = 0 is 0.1. Formulate the mathematical model for the voltage rate vr(t) developed at the loops during scanning.2. Plot/Sketch vr(t) as a function of time t€ [-4:4].3. Find the roots of vr(t) analytically.4. Use your figure to study the sign of vrlt) in the time interval [-4 : 4]. Does yrdt) have any root in theinterval [-4 : 4]? If yes, estimate the roots graphically.5. Manually use Bisection iterative technique with 6 iterations to find a root of yr(t) in the intervals [0.3:0.7] and [-1:-5]. Calculate the percentage of error. Show details of your steps.6. Manually use Newton-Raphson iterative technique with 6 iterations to find a root of yr(t) in theintervals [0.3:0.7] and [-1:-5]. Calculate the percentage of error. Show details of your steps.

Name: parts 1,2,3,4 please You are working as an Engineering Technician at G
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Description: parts 1,2,3,4 please You are working as an Engineering Technician at GEMR, which specializes in designing and developingmedical equipment such as Magnetic Resonance Imaging (MRI) systems, X-ray systems, and RadioFrequency (RF) antennas coils. You wil