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January 27, 2026, 02:22:14 pm

Author Topic: How did we go in Exam 2?  (Read 28183 times)  Share 

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Special At Specialist

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Re: How did we go in Exam 2?
« Reply #15 on: November 12, 2012, 05:53:25 pm »
I didn't do very well unfortunately :( But oh well, I wouldn't have gotten a 50 anyway because I got 39/40 on exam 1.

I guessed 2 MC, not because I couldn't do them (they were all pretty easy), but because I ran out of time. I also left the last part of questions 4 and 5 blank, as well as about half of question 3...

The space station question used up waaaaay too much time. There were so many big numbers and stuff to type into my calculator. If I'd known this in advance, I would've saved it until last.

The worst one of them all was the last part of the space station question... wtf even was the answer?! I couldn't get the answer to that question. My calculator just said "false". I even got rid of the domain restrictions on t and it still said "false".

OMFG I realised what I did wrong now!!!!! It had x = 6800*cos(pi*(1.3t - 0.1)) and y = 6800*sin(pi*(1.3t - 0.1)) - 6400 and I completely forgot about the -6400 and tried to say that y/x = tan(pi*(1.3t - 0.1)) FFS I spent so long on this question for nothing!!!!!

Another question which I couldn't answer (on question 3) was one where I had v = t^2 / 100 - 9t / 20 + 25 = 0 and we had to find when the particle was at rest and my calculator wouldn't give me a solution :(
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baddin

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Re: How did we go in Exam 2?
« Reply #16 on: November 12, 2012, 05:53:57 pm »
And remember that question which said find values of n for which re(z) = 0, did you guys get n = 6+24k and n = 18 + 24k, where kEZ, k = ....-1,0,1,2....
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Biceps

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Re: How did we go in Exam 2?
« Reply #17 on: November 12, 2012, 05:55:35 pm »
And remember that question which said find values of n for which re(z) = 0, did you guys get n = 6+24k and n = 18 + 24k, where kEZ, k = ....-1,0,1,2....
i got that and then used pi and -pi for the question after. is that right?
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Re: How did we go in Exam 2?
« Reply #18 on: November 12, 2012, 05:57:58 pm »
MC was easy, questions 1 and 2 of ER were easy, questions 3, 4 and 5 of ER looked easy but were so damn time consuming!
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baddin

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Re: How did we go in Exam 2?
« Reply #19 on: November 12, 2012, 05:58:35 pm »
And remember that question which said find values of n for which re(z) = 0, did you guys get n = 6+24k and n = 18 + 24k, where kEZ, k = ....-1,0,1,2....
i got that and then used pi and -pi for the question after. is that right?
I just did 1^(6+24k)cis((pi/12)(6+24k)) and 1^(18+24k)cis((18+24k)(pi/12))
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Re: How did we go in Exam 2?
« Reply #20 on: November 12, 2012, 05:59:35 pm »
I thought the angle have to be (-pi,pi] So n=-6 and 6
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Re: How did we go in Exam 2?
« Reply #21 on: November 12, 2012, 05:59:50 pm »
I said n = 12k + 6, and then for the next section said (z1)^n = i when k is even and -i when k is odd.
Is this the wrong notation/way to describe it?

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Re: How did we go in Exam 2?
« Reply #22 on: November 12, 2012, 06:01:15 pm »
I said n = 12k + 6, and then for the next section said (z1)^n = i when k is even and -i when k is odd.
Is this the wrong notation/way to describe it?

I said k = -3, -1, 1, 3, ... and for the other one k = -4, -2, 0, 2, 4, ...
I think your notation is probably better than mine.

I thought the angle have to be (-pi,pi] So n=-6 and 6

Wow, I didn't even think of this... you could be right.
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baddin

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Re: How did we go in Exam 2?
« Reply #23 on: November 12, 2012, 06:02:05 pm »
I thought the angle have to be (-pi,pi] So n=-6 and 6
Yes I think you are correct, damn it LOL I didn't do that and didn't even think of that in the exam FML.
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Re: How did we go in Exam 2?
« Reply #24 on: November 12, 2012, 06:02:33 pm »
Did any of you guys keep a copy to upload? :P

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Re: How did we go in Exam 2?
« Reply #25 on: November 12, 2012, 06:02:38 pm »
It was good. I screwed up a few multi, screwed up the final two pages (made corrections but would have lost 4 or 5 marks) and I wouldn't rule out losing another 10 marks throughout the paper. So I reckon somewhere around the 60 mark out of 80, definitely more than 50, so hopefully I'll get a high good B+

Certainly makes me feel a lot better after my woeful effort on exam one.

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Re: How did we go in Exam 2?
« Reply #26 on: November 12, 2012, 06:03:58 pm »
But isn't cis(pi/12)^18 = cis(3pi/2) = cis(-pi/2) ?
Yes you might get an angle outside of the Arg restrictions, but by the definition of cis it's still equal to an equivalent term of cis with a correct angle.

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Re: How did we go in Exam 2?
« Reply #27 on: November 12, 2012, 06:05:53 pm »

I thought the angle have to be (-pi,pi] So n=-6 and 6

Wow, I didn't even think of this... you could be right.

The angle was pi/2, 3pi/2 wasn't it?
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Re: How did we go in Exam 2?
« Reply #28 on: November 12, 2012, 06:10:00 pm »
I got n=-6 or n=6 as the angles have to be in the principle range. So that makes pi/2 and -pi/2.
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Re: How did we go in Exam 2?
« Reply #29 on: November 12, 2012, 06:11:46 pm »
But isn't cis(pi/12)^18 = cis(3pi/2) = cis(-pi/2) ?
Yes you might get an angle outside of the Arg restrictions, but by the definition of cis it's still equal to an equivalent term of cis with a correct angle.

Yep that's right, it wasn't restricted by Arg(z) because it would eventuate into the equivalent angle

so i for k as a positive integer, and -i for k as a negative integer

But I'm pretty sure the general solutions are right