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Brain Teaser - Area enclosed by a parabola and a line
09-15-2015, 01:30 PM (This post was last modified: 09-15-2015 01:45 PM by Gerson W. Barbosa.)
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RE: Brain Teaser - Area enclosed by a parabola and a line
(09-15-2015 11:56 AM)fhub Wrote:  
(09-15-2015 03:29 AM)Gerson W. Barbosa Wrote:  Things start to get complicated for the biquadratic parabola, if I've done it right:

\(y=\frac{4u^{7}+u-x}{4u^{3}}\)

Hmmm, from where did you get this strange expression (u^7?)?

Franz, I'm trying to extend the problem to the biquadratic parabola (y = x^4). The expression for lines normal to it at a point P(u, u^4) was obtained from Thomas Klemm's method above.

Gerson.
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RE: Brain Teaser - Area enclosed by a parabola and a line - Gerson W. Barbosa - 09-15-2015 01:30 PM



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