Homework Solution: For 3, please provide a good explanation…

    For 3, please provide a good explanation
    For4, please write a function file for the algorithm and use the function in a script file to solve the problem with comments 3. The equation ln(x) =-3x + 5. has a solution near z = 1.53, when setting up the problem as r - g(x) to be solved by a fixed point method, there are several options to choose the function g. For example, consider the functions gi (z) = (5 ln(z)/3 and g2(z) = e-3r+5 Justify your answer. . For which of these functions the fixed point method will converge? 1. Use MATLAB to find the fixed point of the previous problem using both functions gi (x) and g2(r). Use a tolerance of 109. Plot the sequence of points on corresponging to each function. You can do that using the following code g1 = 0(x) .. .. g2 = @(x) ,.. ; x0-1; tol = 10^ (-9) ; c1 = zeros (1,20); c2 = zeros (1,20); for max1-1:20 c1(max 1) c2 (maxi) = fixedpoint (gi,x0,tol,max1); fixedpoint (g2,xo,tol,max1): end figure (1); plot(c1) figure (2); plot (c2) You will notice that one converges and the other one does not. This should be con- sistent with your answer in the previous problem. Turn in the code, the value of the fixed point printed with at least 9 significant digits, and the plots that show the behavior of the sequences of points.
    3. The equation ln(x) =-3x + 5. has a solution near z = 1.53, when setting up the problem as r - g(x) to be solved by a fixed point method, there are several options to choose the function g. For example, consider the functions gi (z) = (5 ln(z)/3 and g2(z) = e-3r+5 Justify your answer. . For which of these functions the fixed point method will converge? 1. Use MATLAB to find the fixed point of the previous problem using both functions gi (x) and g2(r). Use a tolerance of 109. Plot the sequence of points on corresponging to each function. You can do that using the following code g1 = 0(x) .. .. g2 = @(x) ,.. ; x0-1; tol = 10^ (-9) ; c1 = zeros (1,20); c2 = zeros (1,20); for max1-1:20 c1(max 1) c2 (maxi) = fixedpoint (gi,x0,tol,max1); fixedpoint (g2,xo,tol,max1): end figure (1); plot(c1) figure (2); plot (c2) You will notice that one converges and the other one does not. This should be con- sistent with your answer in the previous problem. Turn in the code, the value of the fixed point printed with at least 9 significant digits, and the plots that show the behavior of the sequences of points.

    Expert Answer

    Control 3, content contribute a good-tempered-tempered explanation
    For4, content transcribe a part polish control the algorithm and authentication the part in a script polish to work-out the substance with comments
    3. The equation ln(x) =-3x + 5. has a disentanglement adjacent z = 1.53, when enhancement up the substance as r - g(x) to be work-outd by a unwandering summit system, there are different options to pick-out the part g. Control copy, deliberate the parts gi (z) = (5 ln(z)/3 and g2(z) = e-3r+5 Justify your response. . Control which of these parts the unwandering summit system conciliate conduce? 1. Authentication MATLAB to furnish the unwandering summit of the anterior substance using twain parts gi (x) and g2(r). Authentication a tolerance of 109. Batch the controlthcoming of summits on corresponging to each part. You can do that using the controlthcoming rule g1 = 0(x) .. .. g2 = @(x) ,.. ; x0-1; tol = 10^ (-9) ; c1 = zeros (1,20); c2 = zeros (1,20); control max1-1:20 c1(max 1) c2 (maxi) = unwanderingsummit (gi,x0,tol,max1); unwanderingsummit (g2,xo,tol,max1): object appearance (1); batch(c1) appearance (2); batch (c2) You conciliate mark that individual conduces and the other individual does referable attributable attributable. This should be con- sistent with your response in the anterior substance. Turn in the rule, the compute of the unwandering summit printed with at last 9 weighty digits, and the batchs that pomp the manner of the controlthcomings of summits.

    3. The equation ln(x) =-3x + 5. has a disentanglement adjacent z = 1.53, when enhancement up the substance as r – g(x) to be work-outd by a unwandering summit system, there are different options to pick-out the part g. Control copy, deliberate the parts gi (z) = (5 ln(z)/3 and g2(z) = e-3r+5 Justify your response. . Control which of these parts the unwandering summit system conciliate conduce? 1. Authentication MATLAB to furnish the unwandering summit of the anterior substance using twain parts gi (x) and g2(r). Authentication a tolerance of 109. Batch the controlthcoming of summits on corresponging to each part. You can do that using the controlthcoming rule g1 = 0(x) .. .. g2 = @(x) ,.. ; x0-1; tol = 10^ (-9) ; c1 = zeros (1,20); c2 = zeros (1,20); control max1-1:20 c1(max 1) c2 (maxi) = unwanderingsummit (gi,x0,tol,max1); unwanderingsummit (g2,xo,tol,max1): object appearance (1); batch(c1) appearance (2); batch (c2) You conciliate mark that individual conduces and the other individual does referable attributable attributable. This should be con- sistent with your response in the anterior substance. Turn in the rule, the compute of the unwandering summit printed with at last 9 weighty digits, and the batchs that pomp the manner of the controlthcomings of summits.

    Expert Response