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Methods Assignment Help

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Rakuu:

--- Quote from: RuiAce on November 15, 2019, 07:43:35 pm ---You should be able to adapt the same method. The only thing is that in general for exponentials and sinusoids, you'd be considering functions of the form \( y=e^{bx+c}+k \) or \(y=a\sin (bx+c)+k\).

If you want a sinusoid to pass through a particular point, you can simply sub that point in. For example, if (for some reason) I want it to pass through \( (1,2)\), I would obtain
\[ 2 = a\sin (b+c)+k. \]
Usually by doing this however, I will obtain a constraint on one of these coefficients. (That coefficient could be either one of them.) For example, if I want the constraint to be on \(k\), I can simply solve for \(k\) to obtain
\[ k . = 2 - a\sin (b+c). \]
Without giving too much away, this may be something you wish to consider. A similar thing can be done with exponentials. You should think about what happens to the other unconstrained coefficients!

--- End quote ---

Thank you, I will try that  :) :)

Rakuu:

--- Quote from: Specialist_maths on November 16, 2019, 07:24:36 am ---For IA1, can I assume you've started Unit 3?

If so, you may also want consider the derivatives of each function so that the waterslide is not just continuous, but avoids any points of non-differentiability that may cause injury to the rider.

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Yep unit 3 started, thanks for reminding me on the non-differentiability bit. I asked this question,without researching/approaching it by myself first (which was a very bad idea). I have been researching for the functions having to be continuous and differentiable for it to work, since I made my initial waterslide through trial and error and therefore messing everything up (such as my velocity time graph not connecting).

I figured out how to approach linear/polynomial/quadratic stuffs (but still struggling/about to try in log/expo/trig lol   :o)

Specialist_maths:

--- Quote from: Rakuu on November 17, 2019, 09:55:09 pm ---Yep unit 3 started, thanks for reminding me on the non-differentiability bit. I asked this question,without researching/approaching it by myself first (which was a very bad idea). I have been researching for the functions having to be continuous and differentiable for it to work, since I made my initial waterslide through trial and error and therefore messing everything up (such as my velocity time graph not connecting). I figured out how to approach linear/polynomial/quadratic stuffs (but still struggling/about to try in log/expo/trig lol   :o)

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I've always found 'trial and error' or 'playing around' as I call it, a very important part of mastering skills and developing creative thinking (which traditionally isn't done as much as it should be in maths classrooms). Don't worry about messing everything up to start with - that's a key opportunity for learning!

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