Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

zaphod

  • 2 years ago

Find the equation of the normal to the curve y = 3x^2-2x-1 which parellel to the line y = x-3

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

    @sauravshakya @TuringTest @satellite73

  2. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    find y', set it equal to -1 and solve for x; that's an x coord. on your line. plug into y = 3x^2-2x-1to get a y coord. you have a point and the slope now.. find the line?

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

    1º. Find the derivative of y 2º Put it in some form you like (slope intercept, general...) 3º change it's direction vector to perpendicular 4º find x, for which it's slope is 1

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

    i got the points, why is the slope 1, it has to be -1 since we take the normal line?

  5. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    if slope of the tangent = -1, slope of the normal =1.

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

    can u show it in a diagram?

  7. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1347988256856:dw|

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

    i cant picture the problem clearly?

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

    @Algebraic! where the parellel like y=x-3?

  10. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    wut

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

    can u show the parellel line y =x-3 in the diagram?

  12. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1347988441351:dw|

  13. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    this was just a general sketch to illustrate the point. this isn't your parabola. but that's the line x-3 in black

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

    why cant we directly get the gradient as m=1 instead of -1

  15. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    try it and see

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

    im getting a different answer and the answer is wrong

  17. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    what's your answer?

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

    4y =2x-5

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

    dy/dx= 6x - 2 6x - 2 = 1 x= 1/2 y= -5/4

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

    cn u shw the working

  21. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    find y', set it equal to -1 and solve for x; that's an x coord. on your line. plug into y = 3x^2-2x-1to get a y coord. you have a point and the slope now.. find the line?

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

    why do we set it equal to -1 instead of 1?

  23. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    you don't like negative one so you went with one instead? and got the wrong answer?

  24. Algebraic!
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    when the tangent to the parabola has a slope of -1, the normal at that point has a slope of 1

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

    i got it thanks :)

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.