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##### Test 4 / TT4 Alt G Q2

« Last post by**Xiao Lu**on

*December 03, 2020, 12:41:49 PM*»

Questions and solutions attached below.

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Questions and solutions attached below.

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It's TT4, typed by mistake.

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Here is the question and answer attached below, for Q2:

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Here is the question and answer attached below, for Q1:

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I got that there is no restriction on the n when z=2n𝜋, and n ≠ 0 & -1 when z=(2n+1)𝜋

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For question b in Q4, could anyone explain how we get this?

Thanks in advance!

Thanks in advance!

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What I got on these poles were the same as you did $n \neq 0\ \& -1$. I believe that was a typo.

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"How ellipses wouls look like" means the directions and relative size of their semi-axis. See frame 4 of MAT244_W8L3 handout

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f(z) = (z$^4$ -$\pi^4$)tan$^2$($\frac{z}{2}$)

Part b of this question is asking to determine the types of the singular point.

In solution, it says z=2n$\pi$ with n$\neq$ $\pm$ 1 are double zeros; z=(2n+1)$\pi$ with n$\neq$ $\pm$ 1 are double poles.

Could anyone explain why n$\neq$ $\pm$ 1 here? Why is not n$\neq$ -1, 0?

Thanks in advanced!

Part b of this question is asking to determine the types of the singular point.

In solution, it says z=2n$\pi$ with n$\neq$ $\pm$ 1 are double zeros; z=(2n+1)$\pi$ with n$\neq$ $\pm$ 1 are double poles.

Could anyone explain why n$\neq$ $\pm$ 1 here? Why is not n$\neq$ -1, 0?

Thanks in advanced!

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for this quiz the answer I got is -te^-t + 1/2e^-t