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Math Help - How would i solve this (integration i think)

  1. #1
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    How would i solve this (integration i think)

    Find the equation of the curve for which y''= 10 if the curve is tangent to the line y = 13x at (2, 26).

    like give me the steps on how to solve it ...
    i think im suppose to

    1. integrate y''= 10 and get y = 5 x ^2 +c

    2. sub in (2,26) and solve for c and get c = 6

    i dont really know what to do after this ... i missed the lecture on it and my test is on the monday and theres no one i can really ask for help
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  2. #2
    MHF Contributor
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    Quote Originally Posted by rock candy View Post
    Find the equation of the curve for which y''= 10 if the curve is tangent to the line y = 13x at (2, 26).

    like give me the steps on how to solve it ...
    i think im suppose to

    1. integrate y''= 10 and get y = 5 x ^2 +c

    2. sub in (2,26) and solve for c and get c = 6

    i dont really know what to do after this ... i missed the lecture on it and my test is on the monday and theres no one i can really ask for help
    Hi

    Integrating y"=10 gives y'=10x+C, which gives y=5x+Cx+D

    You know that y(2)=26 and y'(2)=13
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