the z limits should be .a-(x-y)<z<0
Does your book say what you posted?
EDIT: Also, can you post the question?
heres a quick overview of my problem for a triple integral i have:
(((_v where bracket is integral sign lol.
where V is the region bounded by the planes x+y+z=a, a>0, x=0, z=0.
my notes say the limits are 0<x<a ,a-x<y<a , a-(x-y)<z<0 for dzdydx.
if i rearrange x+y+z=a i can never come up with the limits i have written down or have a clue how to... how do i get the limits! thanks so much.
first you must know how to sketch the graph
to graph a curve like this first put x or y or z zero lats put z=0
x+y=a now draw this
do the same thing set y to zero and draw z+x=a ...
you will get
now to determine the integral limits
as you can see z values change from 0 to a-x-y this for z
now after you determine limits for a variable now return to the x-y graph
you can see that y values change from 0 to a-x
and finally you can see that x values change from 0 to a