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

2018 10 5
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更新时间：2023 1 13
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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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Eneriko Ratuloaloa
Eneriko Ratuloaloa 2018-10-5
trying, but it is not in matlab coding except mathematical expression. Trying to input it as a matlab coding
madhan ravi
madhan ravi 2018-10-5
编辑：madhan ravi 2018-10-5
Z coordinate of the rectangle because the domain not fully defined.
Eneriko Ratuloaloa
Eneriko Ratuloaloa 2018-10-5
do you have any clue on converting a maple coded expression into matlab coding, coz I got a maple expression for the problem, solved.
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
madhan ravi
madhan ravi 2018-10-5
select the whole code and press the code button{} so that its easier to read

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Dimitris Kalogiros
Dimitris Kalogiros 2018-10-5
编辑：Dimitris Kalogiros 2018-10-5

0 个投票

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

0 个投票

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.

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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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