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Conic Sections: Ellipses: Example 1

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First published at 20:35 UTC on November 21st, 2017.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go further into conic sections and this time go over an example on graphing the ellipse 9x2 + 16y^2 = 144, as well as locate its foci (plural for focus). Since this equation is not written in the standard form for an ellipse, x^2/a^2 + y^2/b^2 = 1, we need to do some algebra to make it into that form. We can do this by dividing both sides by 144 to get the right side equaling 1, and the left side obtaining the a and b values. The a value corresponds to the vertices of the ellipse, which in this case are the x-intercepts because that is where the major axis lies under. The b-value corresponds to the y-intercepts. To obtain the foci we can use the definition from my last video, c^2 = a^2 – b^2, from which we can solve the c-value which corresponds to the foci. Putting this all together we can than sketch the ellipse, which is a horizontally flat ellipse. This is a very detailed look at going about sketching a specific ellipse, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvkdn0Fd1mjqisIxKg

View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/video-notes-conic-sections-ellipses-example-1

Related Videos:

Conic Sections: Ellipses: Definition and Derivation of Formula (Including Circles): https://youtu.be/9dETsJ2tz_M
Conic Sections: Parabolas: Definition and Formula: https://youtu.be/kCJjXuuIqbE
Ellipses: Definition and Proof of Equation: http://youtu.be/tvfNgT4CrFs
Inverted Ellipses: http://youtu.be/NQQFj66-bxA
Equation of a Circle and it's proof: http://youtu.be/xMXYJ9UeF4I .

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