How do I write an expression like this question in matlab codes and execute it without errors but logical answers?

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Eneriko Ratuloaloa
Eneriko Ratuloaloa 2018-10-5
评论： Walter Roberson 2023-1-13
Using double integral.Find the volume of the solid lying under the elliptic paraboloid x2/4+y2/9+ z = 1 and above the rectangle R = [−1,1]×[−2,2]
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显示 4更早的评论
Eneriko Ratuloaloa
Eneriko Ratuloaloa 2018-10-5
with(plots); f := (x,y) ->1-x^2/4-y^2/9: a := -1: b := 1: c := -2: d := 2: pic1 := plot3d(f(x,y), x = a ..b, y = c..d, color=red, style=patch): pic2 := plot3d( [x, c, f(x,c)*u], x = a..b, u = 0..1, color=yellow): pic3 := plot3d( [x, d, f(x,d)*u], x = a..b, u = 0..1, color=yellow): pic4 := plot3d( [a, y, f(a,y)*u], y = c..d, u = 0..1, color=yellow): pic5 := plot3d( [b, y, f(b,y)*u], y = c..d, u = 0..1, color=yellow):
display3d({pic1, pic2,pic3, pic4,pic5}, axes=framed; orientation = [45,80]; title = `f := (x,y) ->1-x^2/4-y^2/9`, titlefont = [HELVETICA, BOLD, 10]); int( int( f(x,y), x=-1..1), y=-2..2); 166/27;
if true
% code
end

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采纳的回答

Dimitris Kalogiros
Dimitris Kalogiros 2018-10-5
编辑：Dimitris Kalogiros 2018-10-5
Try the following script
close all
clearvars
syms x y z
z=-(x^2)/4 - (y^2)/9 +1
fsurf(z);
xlabel('x'); ylabel('y'); zlabel('z');
vol= int( int(z, x, -1, 1 ) , y, -2, 2)
If you run it, it would give something like this:

更多回答（1 个）

satish
satish 2023-1-13
find the volume of the solid S that is bounded by the elliptic paraboloid x^2+2*y^2+z-16=0, the planes x=2 and y=2 and the three coordinate planes.
  1 个评论
Walter Roberson
Walter Roberson 2023-1-13
please expand on the mathematics to demonstrate that this volume is the same as the volume that the original poster was asking about. The identity of those two volumes is not obvious to me, so I do not understand how this is a solution to the question asked.

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