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eroshea Group Title

find the point where the normal line to y = x + root x at (4,6) crosses the y-axis.

  • one year ago
  • one year ago

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  1. phi Group Title
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    did you find the equation for the slope of the curve?

    • one year ago
  2. eroshea Group Title
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    wait.. i'll solve for the slope

    • one year ago
  3. satellite73 Group Title
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    take the derivative replace \(x\) by \(4\) that gives you the slope take the negative reciprocal, that give you the slope of the normal line use the point slope formula with the point \((4,6)\) to find the equation of the normal line \(y=mx+b\) then \(b\) is where it crosses the y axis

    • one year ago
  4. eroshea Group Title
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    the value of b is the answer then?

    • one year ago
  5. satellite73 Group Title
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    yes, that is the y intecept

    • one year ago
  6. eroshea Group Title
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    ok.. thanks.. i'll try solving for it

    • one year ago
  7. phi Group Title
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    Here is a plot of the scenario

    • one year ago
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  8. eroshea Group Title
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    thanks! what i got was 31/5 .. is this correct?

    • one year ago
  9. phi Group Title
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    how ?

    • one year ago
  10. eroshea Group Title
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    i follow the steps satelite gave

    • one year ago
  11. phi Group Title
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    I think you wandered off the path...

    • one year ago
  12. eroshea Group Title
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    why??

    • one year ago
  13. phi Group Title
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    see the plot I posted up above

    • one year ago
  14. eroshea Group Title
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    where is the normal line there?

    • one year ago
  15. phi Group Title
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    the red line

    • one year ago
  16. eroshea Group Title
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    so what do you think is wrong with my answer? is the steps given by satelite somehow have mistakes? i just followed it

    • one year ago
  17. phi Group Title
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    what did you get for the slope ?

    • one year ago
  18. phi Group Title
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    first, what did you get for the derivative?

    • one year ago
  19. eroshea Group Title
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    owh wait.. i got a mistake

    • one year ago
  20. eroshea Group Title
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    b = 46/5 .. i believe that is the correct answer now?

    • one year ago
  21. phi Group Title
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    yes, 9.2 which matches the plot

    • one year ago
  22. eroshea Group Title
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    9.3 :)) thanks so much! help me again.. i'll post a question :)

    • one year ago
  23. phi Group Title
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    9.3 ?

    • one year ago
  24. eroshea Group Title
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    yes.. divide 46 by 5 right ? then it will be 9... remainder is 15.. that will be 3.. so 9.3?

    • one year ago
  25. phi Group Title
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    5*9= 45

    • one year ago
  26. eroshea Group Title
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    lol.. i got a mistake again. sorry.. yes.. 9.2

    • one year ago
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