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# Feature Questions 1 - Started 8th May 19

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I have been thinking for a while now that it would be nice if we could showcase our best or most interesting answers somewhere.

When the forum was much, much smaller, I used to look at ever question and answer and put together a group of the best ones each day.

I only view a very small number of answers these days so I thought maybe we could band together and come up with something.

I think mostly we may have to showcase our own answers (as sometimes we are the only ones that see them) but if you would like to showcase others that would be great.

I don't just want grand showy answers, I'd also like to see good quality lower level teaching answers showcased.

If there is a problem then I will not continue. But lets see if we can do this.

May 8, 2019
edited by Melody  May 10, 2019

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I will kick this off

Omi67

I just looked at a very impressive answer by Omi67

Omi67 often gives beautifully presented answers like this one, so I would like to honour her here.

This was the question:   (the question was not displayed properly that is why I have added it )

https://web2.0calc.com/questions/math-help_53948#r1

May 8, 2019
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Hi, Melody,

Thank you for the honor.
It gives me a lot of pleasure to help the students.

May 8, 2019
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Thanks Omi,

I am really sorry that one one has added to this thread yet.

I know there have been many great answers in the last few days.

Anyway, here is one of my own that I was pleased with.

It does not involve calculus or any high level maths so some less advanced  (in maths) people will be able to understand it.

If you have questions, just ask.

This was the question:

How many zeroes does 66! end in when written in base 12?

May 10, 2019
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Here is an excellent presentation for a solution by Hectictar.

https://web2.0calc.com/questions/help_97441#r1

The elements of the collective problem and equation are dissembled into key points, each with a detailed explanation for its derivation. When combined, the narrative presents as a textbook-worthy, expository solution for a potentially confusing problem.

GA

May 10, 2019
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Here, a well-presented solution by Anthrax.

https://web2.0calc.com/questions/help_82659#r2

By adapting the logical and mathematical equivalence of the Floor Function to an inequality, Anthrax demonstrates with details how to solve for integers in a range. A praise-worthy solution presentation by a gifted and practiced mathematician –quickly recognized as such by Hectictar.

GA

May 10, 2019
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Thank you Ginger!!!! <3

Anthrax  May 18, 2019
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Alan presents two (2) solution methods (Lambert W function and Newton-Raphson) to solve for an unknown variable that appears both inside and outside an exponential function.  Very Cool!

GA

May 10, 2019
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Thanks Ginger for showcasing these questions by   Hectictar,   Anthrax   and   Alan.

And thanks Alan, Hectictar and Anthrax for supplying these great answers in the first place

As soon as I get a moment I will be taking a proper look at each of them.

May 10, 2019
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I also like this solve by Alan, he didn't write much but yet makes sense in a clear and understandable way.

May 17, 2019
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Thanks for that nomination CoolstuffYT

Alan's answer does look very impressive!    Thanks Alan for providing it!

Melody  May 18, 2019
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Hectictar just nominated this GP question.

https://web2.0calc.com/questions/help_14313

She is very impressed by both Heureka's and Alan's answers.

Thanks very much to all three of you, for the 2 great answers and for the nomination.

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Jun 18, 2019
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I am nominating CPhill's answer  here

https://web2.0calc.com/questions/help_9450

This is the question.

Jun 19, 2019
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I think that this was a good answer from cphill after the banter:https://web2.0calc.com/questions/how-to-solve-do-not-guess-and-check

Jun 23, 2019
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Modular arithmetic

https://web2.0calc.com/questions/number-theory_29

The American Mathematics College is holding its orientation for incoming freshmen. The incoming freshman class contains fewer than 500 people. When the freshmen are told to line up in columns of 23, 22 people are in the last column. When the freshmen are told to line up in columns of 21, 14 people are in the last column. How many people are in the incoming freshman class?

Chris, Alan and I have all answered this in different ways.  For me, Alan's way is simple, different and interesting.

Jul 28, 2019
edited by Melody  Jul 28, 2019
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ive found this one and thought it was really good because it also helped me a lot

Aug 5, 2019
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also this one answered by one of the millons of geust

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https://web2.0calc.com/questions/help-asap_129

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Travisio

Aug 5, 2019
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Thanks Travisio,

The first one was answered by Heureka.

Heueka answers are always very impressive.  I am really pleased that you have verbalized how much this one helped you.

Thanks Heureka :))

This question will lock again soon

BUT

If anyone else want to add to this thread just send me (or another moderator) a message and we can open it for you.

Melody  Oct 16, 2019
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What is the remainder when   x^3 + x^6 + x^9 + x^27   is divided by   x^2 - 1  ?

Well answered by Heureka and Tiggsy.   Thanks.

https://web2.0calc.com/questions/help_27892

AND

A semicircle is inscribed in a quadrilateral ABCD in such a way that the midpoint of BC coincides with the center of the semicircle, and the diameter of the semicircle lies along a portion of BC. If AB = 4 and CD = 5, what is BC?

Thanks for the great answer Tiggsy

Nov 29, 2019
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Interesting geometry question.

https://web2.0calc.com/questions/geometry_67970

Dec 27, 2019
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Heureka fas provided a insight into this question that I really like.

Thanks Heureka!

Jan 6, 2020
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This was a good geometry question with some equally interesting answers.

https://i.gyazo.com/17688cd247f1531e856792d34ca32366.png

Jan 18, 2020