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...- Hogart
- Post #3
- Forum: Calculus and Beyond Homework Help
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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...- Hogart
- Thread
- Points
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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High School 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...- Hogart
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- Angle
- Replies: 3
- Forum: General Math