Modeling A Chicken Egg Math Ia -

[ y = \pm \frac{B}{2} \sqrt{\frac{L^{2} - 4x^{2}}{L^{2} + 8wx + 4w^{2}}} ]

[ V = \pi \int_{-L/2}^{L/2} [f(x)]^2 dx ]

~600-700 words I’m deep into IA season, and I wanted to share a topic that’s been equal parts frustrating and fascinating: modeling the shape of a chicken egg. modeling a chicken egg math ia

IB Math AA/AI HL/SL

A circle fails (too symmetric). An ellipse is closer but misses the asymmetry. After some research, I found the , which models an egg’s profile in Cartesian coordinates: [ y = \pm \frac{B}{2} \sqrt{\frac{L^{2} - 4x^{2}}{L^{2}

This equation worked beautifully for the top half. The bottom half is symmetric (y negative). Once I had ( y = f(x) ) for the upper half (from ( x = -L/2 ) to ( x = +L/2 )), I used:

Here’s a draft post for a Math IA (Internal Assessment) blog or forum, written from the perspective of an IB student. It focuses on modeling a chicken egg’s shape using calculus and coordinate geometry. From Breakfast to A*: Modeling a Chicken Egg for My Math IA After some research, I found the , which

[ SA = 2\pi \int_{-L/2}^{L/2} f(x) \sqrt{1 + [f'(x)]^2} dx ]