Recent content by Hogart

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    Show y = (1+x)/(1+x^2) has three inflection points

    You must excuse me, it seems I have been having quite a few brain malfunctioning moments these past couple of days. The proper second derivative to y is y'' = (2(1+x^2)(x^3+3x^2-3x-1))/(1+x^2)^4 I actually figured it out. It was just a matter of applying algebra. Since (1+x^2) > 0 it is...
  2. H

    Show y = (1+x)/(1+x^2) has three inflection points

    Homework Statement We are given the curve y = (1+x)/(1+x^2) Homework Equations y' and y'' The Attempt at a Solution I know the inflection points of y are the local minimum and maximum of y'; this can also be restated as the critical points of y''. My attempt is to find the...
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    Double Angle Proofs - Explained in Trig

    Hello, I'm currently trying to convert polar equations to Cartesian equations and vise-versa. I noticed an equation needed a Trig ID I am not familiar with: sin(2theta) = 2sin(theta)*cos(theta) cos(2theta) = cos^2(theta) - sin^2(theta) My apologies if that looks like an eye soar; I'm...
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