Mixing
Help with parameters when computing volume
-1
$begingroup$
I have just started computing volume of objects confined by planes using Fubini and substitution and I have come across a problem that I can't figure out what new parameter to choose.
the planes are:
$z=xy$
$z=0$
$x+y+z=1$
Could you please help me?
substitution
edited Jan 6 at 23:10
Gnumbertester
425111
asked Jan 6 at 22:56
Zuzana MitterováZuzana Mitterová
496
$endgroup$
add a comment |
-1
$begingroup$
I have just started computing volume of objects confined by planes using Fubini and substitution and I have come across a problem that I can't figure out what new parameter to choose.
the planes are:
$z=xy$
$z=0$
$x+y+z=1$
Could you please help me?
substitution
edited Jan 6 at 23:10
Gnumbertester
425111
asked Jan 6 at 22:56
Zuzana MitterováZuzana Mitterová
496
$endgroup$
$begingroup$
It is not clear to me what you mean by "new parameter to choose". Can you please elaborate? Thx
$endgroup$
– pendermath
Jan 6 at 23:02
$begingroup$
Also, can you be more specific about your problem and what approach have you taken?
$endgroup$
– pendermath
Jan 6 at 23:03
$begingroup$
I don't know how to say it in english. By I want to compute the integral dxdydz so for that I need to find a substitution that will give me better parameters to use in the Fubini. For example if the object that is given by the three planes is something cylindrical I would use cylindrical parameters as symetry usually helps :D I dunno how to explain it
$endgroup$
– Zuzana Mitterová
Jan 6 at 23:55
$begingroup$
The points $(x,y,z)$ that satisfy $z=xy$ do not form a plane. Do you have a copy of the original problem?
$endgroup$
– John Douma
Jan 7 at 0:26
$begingroup$
Yes they do, in 3D. It's a curved plane. Or maybe plane is not a good name for it, sorry for my english.
$endgroup$
– Zuzana Mitterová
Jan 7 at 10:33
add a comment |
-1
-1
-1
$begingroup$
I have just started computing volume of objects confined by planes using Fubini and substitution and I have come across a problem that I can't figure out what new parameter to choose.
the planes are:
$z=xy$
$z=0$
$x+y+z=1$
Could you please help me?
substitution
edited Jan 6 at 23:10
Gnumbertester
425111
asked Jan 6 at 22:56
Zuzana MitterováZuzana Mitterová
496
$endgroup$
I have just started computing volume of objects confined by planes using Fubini and substitution and I have come across a problem that I can't figure out what new parameter to choose.
the planes are:
$z=xy$
$z=0$
$x+y+z=1$
Could you please help me?
substitution
substitution
edited Jan 6 at 23:10
Gnumbertester
425111
asked Jan 6 at 22:56
Zuzana MitterováZuzana Mitterová
496
edited Jan 6 at 23:10
Gnumbertester
425111
asked Jan 6 at 22:56
Zuzana MitterováZuzana Mitterová
496
edited Jan 6 at 23:10
Gnumbertester
425111
edited Jan 6 at 23:10
Gnumbertester
425111
edited Jan 6 at 23:10
Gnumbertester
425111
425111
asked Jan 6 at 22:56
Zuzana MitterováZuzana Mitterová
496
asked Jan 6 at 22:56
Zuzana MitterováZuzana Mitterová
496
asked Jan 6 at 22:56
Zuzana MitterováZuzana Mitterová
496
496
$begingroup$
It is not clear to me what you mean by "new parameter to choose". Can you please elaborate? Thx
$endgroup$
– pendermath
Jan 6 at 23:02
$begingroup$
Also, can you be more specific about your problem and what approach have you taken?
$endgroup$
– pendermath
Jan 6 at 23:03
$begingroup$
I don't know how to say it in english. By I want to compute the integral dxdydz so for that I need to find a substitution that will give me better parameters to use in the Fubini. For example if the object that is given by the three planes is something cylindrical I would use cylindrical parameters as symetry usually helps :D I dunno how to explain it
$endgroup$
– Zuzana Mitterová
Jan 6 at 23:55
$begingroup$
The points $(x,y,z)$ that satisfy $z=xy$ do not form a plane. Do you have a copy of the original problem?
$endgroup$
– John Douma
Jan 7 at 0:26
$begingroup$
Yes they do, in 3D. It's a curved plane. Or maybe plane is not a good name for it, sorry for my english.
$endgroup$
– Zuzana Mitterová
Jan 7 at 10:33
add a comment |
$begingroup$
It is not clear to me what you mean by "new parameter to choose". Can you please elaborate? Thx
$endgroup$
– pendermath
Jan 6 at 23:02
$begingroup$
Also, can you be more specific about your problem and what approach have you taken?
$endgroup$
– pendermath
Jan 6 at 23:03
$begingroup$
I don't know how to say it in english. By I want to compute the integral dxdydz so for that I need to find a substitution that will give me better parameters to use in the Fubini. For example if the object that is given by the three planes is something cylindrical I would use cylindrical parameters as symetry usually helps :D I dunno how to explain it
$endgroup$
– Zuzana Mitterová
Jan 6 at 23:55
$begingroup$
The points $(x,y,z)$ that satisfy $z=xy$ do not form a plane. Do you have a copy of the original problem?
$endgroup$
– John Douma
Jan 7 at 0:26
$begingroup$
Yes they do, in 3D. It's a curved plane. Or maybe plane is not a good name for it, sorry for my english.
$endgroup$
– Zuzana Mitterová
Jan 7 at 10:33
$begingroup$
It is not clear to me what you mean by "new parameter to choose". Can you please elaborate? Thx
$endgroup$
– pendermath
Jan 6 at 23:02
$begingroup$
It is not clear to me what you mean by "new parameter to choose". Can you please elaborate? Thx
$endgroup$
– pendermath
Jan 6 at 23:02
$begingroup$
Also, can you be more specific about your problem and what approach have you taken?
$endgroup$
– pendermath
Jan 6 at 23:03
$begingroup$
Also, can you be more specific about your problem and what approach have you taken?
$endgroup$
– pendermath
Jan 6 at 23:03
$begingroup$
I don't know how to say it in english. By I want to compute the integral dxdydz so for that I need to find a substitution that will give me better parameters to use in the Fubini. For example if the object that is given by the three planes is something cylindrical I would use cylindrical parameters as symetry usually helps :D I dunno how to explain it
$endgroup$
– Zuzana Mitterová
Jan 6 at 23:55
$begingroup$
I don't know how to say it in english. By I want to compute the integral dxdydz so for that I need to find a substitution that will give me better parameters to use in the Fubini. For example if the object that is given by the three planes is something cylindrical I would use cylindrical parameters as symetry usually helps :D I dunno how to explain it
$endgroup$
– Zuzana Mitterová
Jan 6 at 23:55
$begingroup$
The points $(x,y,z)$ that satisfy $z=xy$ do not form a plane. Do you have a copy of the original problem?
$endgroup$
– John Douma
Jan 7 at 0:26
$begingroup$
The points $(x,y,z)$ that satisfy $z=xy$ do not form a plane. Do you have a copy of the original problem?
$endgroup$
– John Douma
Jan 7 at 0:26
$begingroup$
Yes they do, in 3D. It's a curved plane. Or maybe plane is not a good name for it, sorry for my english.
$endgroup$
– Zuzana Mitterová
Jan 7 at 10:33
$begingroup$
Yes they do, in 3D. It's a curved plane. Or maybe plane is not a good name for it, sorry for my english.
$endgroup$
– Zuzana Mitterová
Jan 7 at 10:33
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
draft saved
draft discarded
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3064492%2fhelp-with-parameters-when-computing-volume%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
draft saved
draft discarded
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
draft saved
draft discarded
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3064492%2fhelp-with-parameters-when-computing-volume%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
It is not clear to me what you mean by "new parameter to choose". Can you please elaborate? Thx
$endgroup$
– pendermath
Jan 6 at 23:02
$begingroup$
Also, can you be more specific about your problem and what approach have you taken?
$endgroup$
– pendermath
Jan 6 at 23:03
$begingroup$
I don't know how to say it in english. By I want to compute the integral dxdydz so for that I need to find a substitution that will give me better parameters to use in the Fubini. For example if the object that is given by the three planes is something cylindrical I would use cylindrical parameters as symetry usually helps :D I dunno how to explain it
$endgroup$
– Zuzana Mitterová
Jan 6 at 23:55
$begingroup$
The points $(x,y,z)$ that satisfy $z=xy$ do not form a plane. Do you have a copy of the original problem?
$endgroup$
– John Douma
Jan 7 at 0:26
$begingroup$
Yes they do, in 3D. It's a curved plane. Or maybe plane is not a good name for it, sorry for my english.
$endgroup$
– Zuzana Mitterová
Jan 7 at 10:33