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Andresfon12

  • 2 years ago

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

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  1. TuringTest
    • 2 years ago
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    where are you stuck?

  2. Andresfon12
    • 2 years ago
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    find the value for x

  3. Andresfon12
    • 2 years ago
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    finding*

  4. TuringTest
    • 2 years ago
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    where do the graphs of y=x and y=x^4 intersect?

  5. Andresfon12
    • 2 years ago
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    at 1?@TuringTest

  6. TuringTest
    • 2 years ago
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    that's one of the intersection points, yes and the other?

  7. Andresfon12
    • 2 years ago
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    16

  8. Andresfon12
    • 2 years ago
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    |dw:1360707284131:dw|

  9. TuringTest
    • 2 years ago
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    x=16 is not an intersection, set the two equations equal and solve:\[x=x^4\]\[x^4-x=0\]\[x^3(x-1)=0\]so the intersections are x=1 and x=?

  10. TuringTest
    • 2 years ago
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    typo, should be\[x^4=x\]\[x^4-x=0\]\[x(x^3-1)=0\]

  11. Andresfon12
    • 2 years ago
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    -1 to 1

  12. TuringTest
    • 2 years ago
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    \[x(x^3-1)=0\implies x=0\text{ or }x^3-1=0\implies x=1\]so\[x=\{0,1\}\]try drawing the graphs out if you doubt that

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