Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

1. MTH 16 MidTermExam-4Review Bruce Mayer, PE Licensed Electrical & Mechanical EngineerBMayer@ChabotCollege.edu

2. Student Reference Card • Student Reference CARD = A 3"x5" Flash-Card upon which the student may write ANYTHING that he/she thinks might help him/her do better on the MidTerm Exam

3. P10RE-6  Find Sum

5. Check by MATLAB % Bruce Mayer, PE % MTH-15 • 01Aug13 • Rev 11Sep13 % MTH15_Quick_Plot_BlueGreenBkGnd_130911.m % clear; clc; clf; % clf clears figure window % n= 1:20 T = 2.^(n+1)./3.^(n-1) for k =1:length(n) Tk = T(1:k) Sn(k) = sum(Tk) end ymin =0; ymax = max(Sn); % the Range Limits R = ymax - ymin; ymid = (ymax + ymin)/2; ypmin = ymid - 1.025*R/2; ypmax = ymid + 1.025*R/2 % % axes; set(gca,'FontSize',12); stairs(n,Sn, 'LineWidth', 3),grid, axis([0 n(end) 0 ypmax]),... xlabel('\fontsize{14}n'), ylabel('\fontsize{14}\Sigma2^(^n^+^1^)/3^(^n^-^1^)'),... title(['\fontsize{16}MTH16 • Bruce Mayer, PE',]),... annotation('textbox',[.53 .05 .0 .1], 'FitBoxToText', 'on', 'EdgeColor', 'none', 'String', 'MTH15 Quick Plot BlueGreenBkGnd 130911.m','FontSize',7)

6. P10RE-18  Conv Test

8. Check by MATLAB % Bruce Mayer, PE % MTH-15 • 01Aug13 • Rev 11Sep13 % MTH15_Quick_Plot_BlueGreenBkGnd_130911.m % clear; clc; clf; % clf clears figure window % n= 2:50 T = 1./(n.^2 - 1) for k =1:length(n) Tk = T(1:k) Sn(k) = sum(Tk) end ymin =0; ymax = max(Sn); % the Range Limits R = ymax - ymin; ymid = (ymax + ymin)/2; ypmin = ymid - 1.025*R/2; ypmax = ymid + 1.05*R/2 % % axes; set(gca,'FontSize',12); stairs(n,Sn, 'LineWidth', 3),grid, axis([1 n(end) 0 ypmax]),... xlabel('\fontsize{14}n'), ylabel('\fontsize{14}\Sigma 1/(n^2-1)'),... title(['\fontsize{16}MTH16 • Bruce Mayer, PE',]),... annotation('textbox',[.53 .05 .0 .1], 'FitBoxToText', 'on', 'EdgeColor', 'none', 'String', 'MTH15 Quick Plot BlueGreenBkGnd 130911.m','FontSize',7)

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14. P11.1-37  Pennies