Andresfon12
find the volume of the given solid:
under the plane x+2yz=0, and above the region bounded by y=x and y x^4



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TuringTest
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where are you stuck?

Andresfon12
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find the value for x

Andresfon12
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finding*

TuringTest
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where do the graphs of y=x and y=x^4 intersect?

Andresfon12
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at 1?@TuringTest

TuringTest
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that's one of the intersection points, yes
and the other?

Andresfon12
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16

Andresfon12
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dw:1360707284131:dw

TuringTest
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x=16 is not an intersection, set the two equations equal and solve:\[x=x^4\]\[x^4x=0\]\[x^3(x1)=0\]so the intersections are x=1 and x=?

TuringTest
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typo, should be\[x^4=x\]\[x^4x=0\]\[x(x^31)=0\]

Andresfon12
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1 to 1

TuringTest
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\[x(x^31)=0\implies x=0\text{ or }x^31=0\implies x=1\]so\[x=\{0,1\}\]try drawing the graphs out if you doubt that