Question

triple integral help

Answer 1

Please help, I'm having trouble even starting this one.

Answer 2

z = [x,1]
y = [(1-x),1]
x = [0,1]

sketch it on the xyz axis stuff right?

Answer 3

maybe like this?

Answer 4

order x,y,z

x = [(1-y),1]
y = [(1-z),1]
z = [0,1]

if i see it right :)

Answer 5

order y,x,z

y = [(1-x),1]
x = [z,1]
z = [0,1]

maybe?

Answer 6

I think you've almost got it with that graph, though I think the non-shaded region is the one you're working on..

Answer 7

i do admit i need more practice :)

Answer 8

not bad :)

I interpret the base as shading from y = -x+1 to y = 1 :)

Answer 9

in some axis along tis construct

z
|
/ \
x y

Answer 10

my z is off; i got it from 0 to x :)

Answer 11

thanks for all the help guys! I gotta see if I can pull all this together, brb

Answer 12

perhaps more atuned to this? :)

Answer 13

ugh .... i messed up the y = 1-x on that one; thats y=x lol

Answer 14

Yeah.

Answer 15

this is my final answer :) im 34% sure this is accurate lol

Answer 16

Maybe like this?

Answer 17

yep, that's it exactly. Just realized myself that if y = 1-x and x = z then y must equal 1-z.