- #1

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## Homework Statement

f(x,y,z) = e^(2x-z)

W: x+y+z ≤ 1, x,y,z ≥ 0

## Homework Equations

0 ≤ x ≤ 1-y-z

0 ≤ y ≤ 1-x-z

0 ≤ z ≤ 1-x-y

## The Attempt at a Solution

I tried dzdydx and dydzdx but they don't work...

or am I doing something wrong?

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- Thread starter DrunkApple
- Start date

- #1

- 111

- 0

f(x,y,z) = e^(2x-z)

W: x+y+z ≤ 1, x,y,z ≥ 0

0 ≤ x ≤ 1-y-z

0 ≤ y ≤ 1-x-z

0 ≤ z ≤ 1-x-y

I tried dzdydx and dydzdx but they don't work...

or am I doing something wrong?

- #2

- 2,275

- 295

The integrand will be quite easy to integrate. I suggest you factor it into e^(2x) e^(-z).

You just have to set up your boundaries of integration correctly. Can you show us some of your attempts?

- #3

- 111

- 0

or is that wrong?

I would love to post my work... but it's so much mess right now... it's like everywhere... If I can get the right boundaries I feel like I can get it right

- #4

- 2,275

- 295

integral from what to what, from what to what, from what to what of what dwhatdwhatdwhat?

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