Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Andresfon12

  • 3 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

  • This Question is Closed
  1. TuringTest
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    where are you stuck?

  2. Andresfon12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    find the value for x

  3. Andresfon12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    finding*

  4. TuringTest
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

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

  5. Andresfon12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    at 1?@TuringTest

  6. TuringTest
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

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

  7. Andresfon12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    16

  8. Andresfon12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1360707284131:dw|

  9. TuringTest
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    typo, should be\[x^4=x\]\[x^4-x=0\]\[x(x^3-1)=0\]

  11. Andresfon12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -1 to 1

  12. TuringTest
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

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

  13. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy