Chabot Mathematics. §7.6 Double Integrals. Bruce Mayer, PE Licensed Electrical & Mechanical Engineer [email protected] 7.5. Review §. Any QUESTIONS About §7.5 → Lagrange Multipliers Any QUESTIONS About HomeWork §7.5 → HW-8. Partial- Deriv↔Partial - Integ.
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Chabot Mathematics
§7.6 DoubleIntegrals
Bruce Mayer, PE
Licensed Electrical & Mechanical [email protected]
7.5
% Bruce Mayer, PE
% MTH-16 • 22Feb14
% Area_Between_fcn_Graph_BlueGreen_BkGnd_Template_1306.m
% Ref: E. B. Magrab, S. Azarm, B. Balachandran, J. H. Duncan, K. E.
% Herhold, G. C. Gregory, "An Engineer's Guide to MATLAB", ISBN
% 978-0-13-199110-1, Pearson Higher Ed, 2011, pp294-295
%
clc; clear; clf; % Clear Figure Window
%
% The Function
xmin = -2; xmax = 2;
ymin = 0; ymax = 10;
x = linspace(xmin,xmax,500);
y1 = -x.^2 + 9;
y2 = x.^2 + 1;
%
plot(x,y1,'--', x,y2,'m','LineWidth', 5), axis([0 xmaxyminymax]),...
grid, xlabel('\fontsize{14}x'), ylabel('\fontsize{14}y = f(x) = -x^2 + 9 & x^2 + 1'),...
title(['\fontsize{16}MTH16 • Bruce Mayer, PE',]),...
legend('-x^2 + 9','x^2 + 1') %
display('Showing 2Fcn Plot; hit ANY KEY to Continue')
% "hold" = Retain current graph when adding new graphs
hold on
disp('Hit ANY KEY to show Fill')
pause
%
xn = linspace(xmin, xmax, 500);
fill([xn,fliplr(xn)],[-xn.^2 + 9, fliplr(x.^2 + 1)],[.49 1 .63]), grid on
% alternate RGB triple: [.78 .4 .01]
V := int((int(x+E^(x+2*y), y=x-5..0)), x=0..5)
Vnum = float(V)
Volume byRiemannSum
Chabot Mathematics
Appendix
Do On
Wht/BlkBorad
Bruce Mayer, PE
Licensed Electrical & Mechanical [email protected]
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