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Differential Equations 11 Online
OpenStudy (anonymous):

This is from my Calculus 3 class if some could help me out i would appreciate it. Evaluate the triple Integral (IntIntInt) [ E ] z dV, where E is the wedge in the 1st octant bounded by y^2 + z^2 = 1, y = x, and the yz-plane.

OpenStudy (jhannybean):

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OpenStudy (jhannybean):

Do you know how you would solve the triply integral to make it a double integral to evaluate for polar regions?

OpenStudy (jhannybean):

This is a circular region and you're evaluating an annulus, so you most likely want to integrate with \(rdrd\theta\)

OpenStudy (dan815):

so u want this?

OpenStudy (jhannybean):

Was waiting for OP to respond lol

OpenStudy (jhannybean):

What the heck

OpenStudy (dan815):

this thing

OpenStudy (anonymous):

my problem is determining the bounds you have the bottom part of the y=x shaded in i thought it was above the y=x

OpenStudy (dan815):

oh okay i see then it shud be like this

OpenStudy (jhannybean):

y=x would be the upper bound since it states that it is also bound by the yz plane

OpenStudy (jhannybean):

|dw:1417921451835:dw|

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