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 e [-4 : 4]. 3. Find the roots of vr(t) analytically.
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
Answer this question. Part (1), (2) & (3).
![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 te [-4 : 4].
3. Find the roots of vr(t) analytically.
4. Use your figure to study the sign of vr(t) in the time interval [-4 : 4]. Does vr(1) have any root in the
interval [-4 : 4]? If yes, estimate the roots graphically.
5. Manually use Bisection iterative technique with 6 iterations to find a root of vr(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 vr(t) in the
intervals [0.3 : 0.7] and [-1 : -5]. Calculate the percentage of error. Show details of your steps.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F482c6e1d-7657-4ad4-a4ba-74fc9a523b59%2F18564c9a-9b68-45b0-9eb3-3843fe733d61%2Fmsw8has_processed.png&w=3840&q=75)
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