#parametric equations

[studyswamp]

exam on monday! tfw you think you have a really good handle on the content but your professor says the test is gonna be hard, so you start sweating

[journallein]

5 May 2018. 12/100 days of productivity

Poorly edited calc notes part 2 I realised that it’s been more than a month since my last post so hopefully I can keep up the weekly post schedule this time “orz

[cambionnation]

*cries* he was my honors pre-calc assignment. 71 equations and six hours made it worth it

[ibmathsresources]

Lissajous Curves: Roller Coasters

Roller Coaster design This post continues from the previous post on Lissajous Curves.  Make sure to read that one first! We can design a rollercoaster track by using the following Lissajous Curve: This gives the following graph: Ground level is given by the line y = −50. Distances are in metres and t is measured in seconds. Customers ride an elevator to the starting point (0,50) where the ride…

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[ibmathsresources]

Lissajous Curves

Lissajous Curves Lissajous Curves were explored by French Physicist Jules Lissajous in the 1850s.  The picture above (Wikimedia Commons) shows him investigating Lissajous curves through a telescope. Lissajous curves include those which can be written in the form: This parametric form allows us to represent complicated curves which are difficult to write in terms of x and y only.  A simple…

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[tricky-pockets]

i spent 2 hours frantically trying to locate the gap in my theoretical understanding of 3D vectors because this problem just. wouldn’t. come out. There were 4 (apparently equally valid) ways to do it. All the examples showed one way. I did it that way and it came out. I tried it one of the other ways and it wouldn’t. Was there an important rule or distinction I was missing?

no

no there was not

i made an addition mistake in the first step

On the bright side, I’ve now tested all 4 ways and confirmed that they all work because I was too pigheaded to let it go.

[kf-2015]

Here’s a nerdy meme which I put 2+ hours of work into.

[ajspeller]

Math Analysis – Convert parametric equations to rectangular equations – Example 2 Parametric Equations In this tutorial the students will learn about parametric equations and how they relate to rectangular equations.