To examine the stability of a control system, the poles of the system (roots of the denominator of its transfer function) are determined. If any of the poles is positive then the system is not stable. Examine the stability of a system with the following transfer function denominator: D(s) = s° + 10s5 + 35s* + 315s + 12s2 - 140s + 2.5 Your examination should contain a graphical estimation of real poles as a first step. Then you need to determine the positive poles using Bisection and Newton-Raphson methods with 6 iterations. Critically evaluate the various results that you obtained.

Q: (D² +4D + 4)y = 0

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Q: Solve for the root of f(x) = Solve for the root of f(x) = sin 4x if x₁ = -2 and XR = e-²x − 4 if x₁…

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Q: Z = 16eni/2

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Q: A) Determines the actual roots of the equations below.

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Q: Find the roots of the equation -45a? – 35x + 100 = 0 using Bisection Method. Positive root: [ Choose…

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Q: Find the roots, including the complex ones, of 2x³– 3x? = 1 using Newton's method.

A: To find the roots using Newton's method, 2x3-3x2=12x3-3x2-1=0Let, f(x)=2x3-3x2-1…

Q: Root-finding techniques Bisection • Solve for the root of f(x) = sin 4x if x₁ = -2 and x = −1

A: Note:- As per our guidelines, we can answer the first problem as exactly one is not mentioned for…

Q: H- V-7+24i

A: 4. We have to find the roots of the following: -7+24i Let us consider, -7+24i=a+bi ; (a and b are…

Q: 3xー12x-3×ナ2

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Q: (금) a- (%) ad + ()a-(102) a2+ (뽑) z- 625 2017 11903 7841 ) x² + () x – 281 = 0 |

A: The solution to the equation, f(x)=0, is the value of x for which the graph of y=f(x) intersects the…

Q: Find the roots: x3 = 2 - 3i

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Q: Solve for the solution of the DE: y(4) – 8y"' + 24y" + 32y' + 16y = 0

A: The given differential equation is y(4)-8y'''+24y''+32y'+16y=0

Q: Find the distinct roots of (-7 + 2i)3/4

A: Let x= (-7 + 2i)3/4 ⇒x4=-7+2i3 On Simplifying, ⇒x4=-259+286i--(1) Let, x=u+iv Now,…

Q: In Exercises 37-42, use DeMoivre's theorem to find all the indicatec roots. Be sure to find all…

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Use DeMoivre’s theorem to find the cube roots of 8 (i.e. let’s solve the equation z3 = 8 for z).

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Q: Find @Er Er? © Ene for -2x3 +5X-4=0 if riz Yo grz ane the roots.

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Q: 1. Determines the actual roots of the equations below. Show your work, and Explain well your…

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Q: d. Find the 3 third roots of 1 and show their geometrical representation.

A: Let the cube root of 1 is "a"13=aCubing on both sides we geta3=1 or a3-1=0we know that…

Q: z = (1+j)'4 (1+j)/4

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Q: Find the roots of the equation z³ +2 – 2/3i = 0. %3| -

A: Given: z3+2-23i=0 So,  z3=-2+23iz3=2-1+3iz3=4-12+32i We know that z=rcosθ+isinθ=x+iy, where r=x2+y2,…

Q: Find the quadratic that has the following roots: x=4 and x=-2

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Q: 2. Use the quadratic formula to find the roots of the equation: 5x - 4x +8 = 0. -4+ 12i 5. O x = 3…

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Q: Determine the four roots of z = -2 + 2i.

A: Given: z=-2+2i To find the four roots of the given complex number. The complex number into polar…