Multivariable integration Watch

cooldudeman
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How do the equations in T get judged? I dont get the 0=<y=<x part and in solution 2 aswell. Y=<x=<1

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TeeEm
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(Original post by cooldudeman)
How do the equations in T get judged? I dont get the 0=<y=<x part and in solution 2 aswell. Y=<x=<1

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which question?
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TeeEm
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(Original post by TeeEm)
which question?
ignore
I could not see it to start with


have you been to the lectures?
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cooldudeman
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(Original post by TeeEm)
ignore
I could not see it to start with


have you been to the lectures?
Yes and I have read the definitions and notes. I just dont get how 0=<y=<x is is y less or equal to x?

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TeeEm
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(Original post by cooldudeman)
Yes and I have read the definitions and notes. I just dont get how 0=<y=<x is is y less or equal to x?

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this merely defines the triangle.

It looks a bit unusual

It says

Y<X

and

X<1

both are true in the shaded region
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cooldudeman
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(Original post by TeeEm)
this merely defines the triangle.

It looks a bit unusual

It says

Y<X

and

X<1

both are true in the shaded region
What do the horizontal and vertical lines mean? In the middlish of the triangles?

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RVNmax
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(Original post by cooldudeman)
What do the horizontal and vertical lines mean? In the middlish of the triangles?

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Those lines either represent the arbitrary value of y or value of x, whereby x and y are the limits forming the region T - T is only within those lines.
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TeeEm
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(Original post by cooldudeman)
What do the horizontal and vertical lines mean? In the middlish of the triangles?

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the lines are there to help you see the limits.
They are not actually lines but infinitesimal strips


on the first triangle you do the y integration first

So any vertical strip starts at y=0 and finishes at y=x
then you sum all such strips from x=0 to x=1

on the second triangle you do the x integration first

So any horizontal strip starts at x=y and finishes at x=1
then you sum all such strips from y=0 to y=1

A bit hard to see the first time but once you see it it is very easy

PS Are you sure you went to the lectures?
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cooldudeman
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(Original post by TeeEm)
the lines are there to help you see the limits.
They are not actually lines but infinitesimal strips


on the first triangle you do the y integration first

So any vertical strip starts at y=0 and finishes at y=x
then you sum all such strips from x=0 to x=1

on the second triangle you do the x integration first

So any horizontal strip starts at x=y and finishes at x=1
then you sum all such strips from y=0 to y=1

A bit hard to see the first time but once you see it it is very easy

PS Are you sure you went to the lectures?
I missed one lecture to be completely honest. But I doubt my classmates know more than I do since our lecturer isn't the best at speaking english, but he's still cool.

I think I get it. I tried labelling the triangle in inequalities and it just has to satisfy all of them. Do you have any similar examples that I could try and confirm that I understand. Ones that dont tell u the intervals but give the f(x,y) equation, like this one. Im having trouble finding some on the Internet.

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TeeEm
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(Original post by cooldudeman)
I missed one lecture to be completely honest. But I doubt my classmates know more than I do since our lecturer isn't the best at speaking english, but he's still cool.

I think I get it. I tried labelling the triangle in inequalities and it just has to satisfy all of them. Do you have any similar examples that I could try and confirm that I understand. Ones that dont tell u the intervals but give the f(x,y) equation, like this one. Im having trouble finding some on the Internet.

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Try this link

http://madasmaths.com/archive_maths_...ed_topics.html


download file

multivariable_integration_in_car tesian

(Be patient long download time)


See if it helps
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cooldudeman
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(Original post by TeeEm)
Try this link

http://madasmaths.com/archive_maths_...ed_topics.html


download file

multivariable_integration_in_car tesian

(Be patient long download time)


See if it helps
thanks. and I see you've got a website now. looking nice.
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TeeEm
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(Original post by cooldudeman)
thanks. and I see you've got a website now. looking nice.
now?

since 2004, although it was redesigned last year.

glad you like it.
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