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eroshea

  • one year 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
    • one year ago
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    did you find the equation for the slope of the curve?

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

  3. satellite73
    • one year 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
    • one year ago
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    the value of b is the answer then?

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

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

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

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

  9. phi
    • one year ago
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    how ?

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

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

  12. eroshea
    • one year ago
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    why??

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

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

  15. phi
    • one year ago
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    the red line

  16. eroshea
    • one year 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
    • one year ago
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    what did you get for the slope ?

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

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

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

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

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

  23. phi
    • one year ago
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    9.3 ?

  24. eroshea
    • one year 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
    • one year ago
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    5*9= 45

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

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