Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Sallyride666

  • 3 years ago

if you have a rectangle that is 10 by 18 and you cut out the corners equally to make it a box how do you maximize the volume and what is the volume?

  • This Question is Closed
  1. anonymous
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    first the expression that gives you the volume of the box \[V(x)=x(10-x)(18-x)\] domain will be \((0,5)\) expand, take the derivative, which will be a quadratic, find the critical points by setting it equal so zero and solve for \(x\)

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

    hope you are good from there, it is basically algebra from here on in

  3. Sallyride666
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it a cubic or a quadratic?

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

    \(V(x)\) is cubic, \(V'(x)\) is degree 2

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

    ooh damn damn damn i am way wrong!!!

  6. Sallyride666
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh sorry forgot to take the derivitive. and should it be x(18-2x)(10-2x) bc you take the corner away from each side?

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

    sorry about that try \[V(x)=x(10-2x)(18-2x)\] thats better

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

    yes, you are right, i am way off

  9. Sallyride666
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    dont worry about it your the genius

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

    obviously not but in any case algebra gives you \[V(x)=4 x^3-56 x^2+180 x\] and then it should be more or less routine

  11. Sallyride666
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks. if you have a box and the lenghth is 12cm and the width is 5cm and the width is increasing at 2 cm/sec and the length is decreasing at 2 cm/sec what is the DA/dt for the area perimeter and diagonal

  12. 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