Consider the following problem: Find all the values of k in increments of 0.5 fo
ID: 3283618 • Letter: C
Question
Consider the following problem: Find all the values of k in increments of 0.5 for which the solution for y in the following system of equations has a magnitude greater than 4 3x - 2y +5z--3 Select the methods below that would be appropriate to include in a solution to this problem. More than one method may be applicable. Select all that apply. O Newton-Raphson iteration O MATLAB roots function O LU factorization MATLAB left division Gauss elimination MATLAB polyfit function Gauss quadrature Lagrange polynomials OExplanation / Answer
Given, System of equations are
2x-y+z=k;
3x+3y+9z=6;
3x-2y+5z=-3;
By solving the 3 equations we can reduce the equation to 'y' and 'k', hence, by solving them, we obtain:
13y=29+4k;
As for y to be greater than 4: i.e., y>4
(13*y)>(13*4)
(29+4k)>52
4k>13
k>(13/4)
k>3.25
Hence k = (3.25,infinity),
But as asked to mention the values of k, in increments of 0.5, such that the value of y is greater than 4,
Let us start from 3.5
Hence the values of k can be [3.5,4.0,4.5,5.0,5.5,6.0,6.5,...]