evaluate ∫∫_E ∫15Zdv, where E is the region between 2x+y+z=4 and 4x+4y+2z=20 which is in front of the region in the yz plane bounded by z=2y^2 and z=(√(4y))


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Question Number 189263 by Gbenga last updated on 14/Mar/23

$e v a l u a t e \int \int_{E} \int 15 Z d v, w h e r e E$ $i s t h e r e g i o n b e t w e e n 2 x + y + z = 4$ $a n d 4 x + 4 y + 2 z = 20 w h i c h i s i n$ $f r o n t o f t h e r e g i o n i n t h e y z p l a n e$ $b o u n d e d b y z = 2 y^{2} a n d z = \sqrt{4 y}$
Commented by Gbenga last updated on 15/Mar/23

$e v a l u a t e \int \int_{E} \int 15 Z d v, w h e r e E$ $i s t h e r e g i o n b e t w e e n 2 x + y + z = 4$ $a n d 4 x + 4 y + 2 z = 20 w h i c h i s i n$ $f r o n t o f t h e r e g i o n i n t h e y z p l a n e$ $b o u n d e d b y z = 2 y^{2} a n d z = \sqrt{4 y}$ $i h a v e m a k e a d j u s t m e n t$
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