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length of parabola formula. It is shown elsewhere in this article that the equation of the parabola is 4fy x 2 where f is the focal length. X - 1² -8y - 16.
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According to the arc length formula La Z a 0 p 1 y0x2 dx Z a 0 p. Since the parabola passes through the point 2 9 then 9 4 a 2 b c. Arc length of y x2 over 0 x a.
Y x2 y 2x ds 1 2x2 dx 1.
Curves with closed-form solutions for arc length include the catenary circle cycloid logarithmic spiral parabola semicubical parabola and straight line. Since the parabola passes through the point 1 4 then 4 a b c. Simplifying gives us the formula for a parabola. Curves with closed-form solutions for arc length include the catenary circle cycloid logarithmic spiral parabola semicubical parabola and straight line.
