Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

viniterranova

  • 3 years ago

Find the equation of the line tangent to the curve y = 2 - (1/3x) ^ 2 which is perpendicular to the line xy = 0.

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

    Correcting in the last line. x-y=0.

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

    The product of the slope of the perpendicular lines is equal to minus 1

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

    slope for x-y=0 is equal to 1

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

    so the slope of the tangent line would be minus 1

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

    Perpendicular slope = - 1 y = 2 - (1/3x)² = 2 - x²/9 ->y' = -2x /9 = -1 => x= 4.5, y = -4.75 Thus Tangent line at ( 4.5, -4.75) : y = -x -.25

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

    Thanks

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

    This is the solution

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

    @viniterranova You're unable to post correctly, are you? Let compare these equations from solution and your post: y = -(1/3)x² + 2 y = 2 - (1/3x) ^ 2

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

    Anyway, thanks for pointing out that it's YOUR posting problem :)

  10. 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