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eroshea

  • 2 years ago

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

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  1. phi
    • 2 years ago
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    did you find the equation for the slope of the curve?

  2. eroshea
    • 2 years ago
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    wait.. i'll solve for the slope

  3. satellite73
    • 2 years ago
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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

  4. eroshea
    • 2 years ago
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    the value of b is the answer then?

  5. satellite73
    • 2 years ago
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    yes, that is the y intecept

  6. eroshea
    • 2 years ago
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    ok.. thanks.. i'll try solving for it

  7. phi
    • 2 years ago
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    Here is a plot of the scenario

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  8. eroshea
    • 2 years ago
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    thanks! what i got was 31/5 .. is this correct?

  9. phi
    • 2 years ago
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    how ?

  10. eroshea
    • 2 years ago
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    i follow the steps satelite gave

  11. phi
    • 2 years ago
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    I think you wandered off the path...

  12. eroshea
    • 2 years ago
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    why??

  13. phi
    • 2 years ago
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    see the plot I posted up above

  14. eroshea
    • 2 years ago
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    where is the normal line there?

  15. phi
    • 2 years ago
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    the red line

  16. eroshea
    • 2 years ago
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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

  17. phi
    • 2 years ago
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    what did you get for the slope ?

  18. phi
    • 2 years ago
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    first, what did you get for the derivative?

  19. eroshea
    • 2 years ago
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    owh wait.. i got a mistake

  20. eroshea
    • 2 years ago
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    b = 46/5 .. i believe that is the correct answer now?

  21. phi
    • 2 years ago
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    yes, 9.2 which matches the plot

  22. eroshea
    • 2 years ago
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    9.3 :)) thanks so much! help me again.. i'll post a question :)

  23. phi
    • 2 years ago
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    9.3 ?

  24. eroshea
    • 2 years ago
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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?

  25. phi
    • 2 years ago
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    5*9= 45

  26. eroshea
    • 2 years ago
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    lol.. i got a mistake again. sorry.. yes.. 9.2

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