2) If you are given the roots, then find the solution for each of the following...
29. Roots and Factors. For each of the following find the roots of the given equations and sketch the roots in the complex plane: (a) cube roots z3 = 1 (b) square roots z2 = i (c) sixth roots z6 = -64 (d) fifth roots z5 = 32e5Ti/3
Please answer in Matlab, thank you! Gauss-Seidel method Exercise: 1. Find the roots of following simultaneous equations using the Gauss-Seidel method. 10x+2y-2z-18 4x+2y-z--10 2x-3y+ 10z=5 2. 2x1 + 6x2 + x3 = -x2+ 7x36 3. 2x7x2 tx 19 x3x2 +12 3 31 4. 25x + 5y + z =106.8 64x +8y z 177.2 144x +12y +z 279.2
Can you help with question f. ? 1. Find all rational roots of each of the following polynomials in Qir) a. 3+52+52 b204 11- +17 2 -11a +15 5 e. 2x3-72.2-35 f.2m-1 -2 m2 2
2. (30%) Given 2 as one root of the following polynomial, find the remaining roots (that is, find all remaining roots but it is not necessary to show your calculation procedure/step to get full marks) 3x3 + 7x2 - 22x -8=0
1a): Find the roots of the following polynomial equations using matlab: f(x) = x^5 − 9x^4 + 31x^3 − 51x^2 + 40x − 12 f(x) = x^5 − 11x^4 + 47x^3 − 97x^2 + 96x − 36 b): Find the coefficients of two polynomial equations in matlab given the following sets of roots: r1 = [ 100 25 50 5 10 ] r2 = [ 11 22 33 0 55 ] c): Create a figure with four subplots, each showing...
You are given the following function () 6a +11 6.1 You are to find the roots of this function using the secant method with z 2.5-and zi = 3.5 1.(6 points) Develop a function m-file that calculates the root of the above function using the secant method. The function should have the following five inputs only. 1. (2 points) The equation or function whose roots need to be found 2.(2 points) Initial guess -1 3. (2 points) Initial guess A4.(2...
Problem 5 Find the characteristic equation and compute its roots for the following ARMA model S(k) = 0.15(k – 1) + 0.02S(k – 2) + e(k) + 2e(k − 2)
30. Roots of Polynomials. Find the roots of the following polynomials, using the complex exponential and roots of unity where necessary: (a) z4422 4 = 0 (b) 24422+ 16 = 0 (c*) (zi5-(z - i)5 = 0 (d) 2432 z1 = 0 30. Roots of Polynomials. Find the roots of the following polynomials, using the complex exponential and roots of unity where necessary: (a) z4422 4 = 0 (b) 24422+ 16 = 0 (c*) (zi5-(z - i)5 = 0 (d)...
Find all roots, both real and complex, of the following polynomials. When appropriate, given the multiplicity of the root. 11. 2x3 + - 4x +1 12. 8x4 + 4x3 - 6x2 – 5x - 1 13. 3x3 + 9x2 +2+3 14.24 +223 +222? + 50c - 75 15. Find the amplitude, frequency, and period of the function f (t) = 4 sin(2t + 7).
5. Find the two roots of each of the following functions (that is find the two X values that make Y = 0). This skill may be useful in assignment 11. EXAMPLE: Y = 3X2 -11X +6 is the product of (3X -2)(X -3). If you let Y = 3X-2 then X = 2/3 will make Y = 0. If you let Y = X-3 then X = 3 will make Y = 0. Thus both X = 2/3 and X = 3 are roots. Show the algebra...