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Whatupdoc
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Evaluate the triple integral [tex] \int \int \int xy*DV[/tex] where E is the solid
tetrahedon with vertices (0,0,0), (4,0,0),(0,1,0),(0,0,7)
first I'm going to find n:
AB= <-4,1,0>
AC= <-4,0,7>
AB X AC = <7,28,4> = n
so i get this equation: 7(x-4) + 28y + 4z = 0
=> 7x+28y+4z = 28
so the bounds of z should be z = 0..28-7x-28y
solving for y gives me the bounds for y = 0.. 1-1/4*x
and the x bounds x = 0..1
are my bounds correct?
tetrahedon with vertices (0,0,0), (4,0,0),(0,1,0),(0,0,7)
first I'm going to find n:
AB= <-4,1,0>
AC= <-4,0,7>
AB X AC = <7,28,4> = n
so i get this equation: 7(x-4) + 28y + 4z = 0
=> 7x+28y+4z = 28
so the bounds of z should be z = 0..28-7x-28y
solving for y gives me the bounds for y = 0.. 1-1/4*x
and the x bounds x = 0..1
are my bounds correct?