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distance traveled by point p on a curve?

Consider the parametric curve given by the equations

x(t) = t^2 +14 t +3

y(t) = t^2 +14 t - 12

How many units of distance are covered by the point P(t) = (x(t),y(t)) between t=0, and t=8 ?

1 Answer

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  • Anonymous
    1 decade ago
    Favorite Answer

    A t=0 , x=3,y=-12

    B t=8 , x=8^2+14(8)+3 , y=.....

    now use distance formula to get length AB

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