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Hi guys we were given a set of presentations in class, and I didnt go to these two presentations and we needed to find the answer for this. If anyone could show me how to do it i would be really greatful

Given $c = 0$, $c= 1 - 0.5i$ and $c = 5$, determine which $c's$ belong in the Mandelbrot set for when $z_0 = 0$ using the equation $z_n+1 = z_n^2 + c$.

Let $\phi(x) = A(a^2 - x^2)$ if $-a < x < a$ and $0$ otherwise. Normalise $\phi$ (i.e. find A)

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First, if you type "mandelbrot set c=1-0.5i" into WolframAlpha, the "Properties" pod will tell you if this point is in the Mandelbrot set or not. There's also a picture illustrating the result. –  Mark McClure Mar 28 '13 at 16:25
    
Second, what do you mean by "normalize" in the second problem. I'm guessing you want $\phi$ to map $(-a,a)$ onto $(-a,a)$. –  Mark McClure Mar 28 '13 at 16:26
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Finally, I forgot to pick up my paycheck last week - could you please mail me a check for $800? –  Mark McClure Mar 28 '13 at 16:26

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