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

    Ce 3, fascinate yield a good-tempered-tempered explanation
    For4, fascinate transcribe a power refine ce the algorithm and manifestation the power in a script refine to work-out the total with comments
    3. The equation ln(x) =-3x + 5. has a counter-argument nigh z = 1.53, when enhancement up the total as r - g(x) to be work-outd by a unwandering top system, there are separate options to select the power g. Ce copy, deduce the powers gi (z) = (5 ln(z)/3 and g2(z) = e-3r+5 Justify your counter-argument. . Ce which of these powers the unwandering top system earn bear? 1. Manifestation MATLAB to perceive the unwandering top of the prior total using twain powers gi (x) and g2(r). Manifestation a tolerance of 109. Frame the progression of tops on corresponging to each power. You can do that using the subjoined system g1 = 0(x) .. .. g2 = @(x) ,.. ; x0-1; tol = 10^ (-9) ; c1 = zeros (1,20); c2 = zeros (1,20); ce max1-1:20 c1(max 1) c2 (maxi) = unwanderingtop (gi,x0,tol,max1); unwanderingtop (g2,xo,tol,max1): object metaphor (1); frame(c1) metaphor (2); frame (c2) You earn observe that individual bears and the other individual does referable. This should be con- sistent with your counter-argument in the prior total. Turn in the system, the appreciate of the unwandering top printed with at smallest 9 symbolical digits, and the frames that likeness the deportment of the progressions of tops.

    3. The equation ln(x) =-3x + 5. has a counter-argument nigh z = 1.53, when enhancement up the total as r – g(x) to be work-outd by a unwandering top system, there are separate options to select the power g. Ce copy, deduce the powers gi (z) = (5 ln(z)/3 and g2(z) = e-3r+5 Justify your counter-argument. . Ce which of these powers the unwandering top system earn bear? 1. Manifestation MATLAB to perceive the unwandering top of the prior total using twain powers gi (x) and g2(r). Manifestation a tolerance of 109. Frame the progression of tops on corresponging to each power. You can do that using the subjoined system g1 = 0(x) .. .. g2 = @(x) ,.. ; x0-1; tol = 10^ (-9) ; c1 = zeros (1,20); c2 = zeros (1,20); ce max1-1:20 c1(max 1) c2 (maxi) = unwanderingtop (gi,x0,tol,max1); unwanderingtop (g2,xo,tol,max1): object metaphor (1); frame(c1) metaphor (2); frame (c2) You earn observe that individual bears and the other individual does referable. This should be con- sistent with your counter-argument in the prior total. Turn in the system, the appreciate of the unwandering top printed with at smallest 9 symbolical digits, and the frames that likeness the deportment of the progressions of tops.

    Expert Counter-argument