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Problem Writing Party: July 25th - Aug 14th

Problem Writing Party 11 had lots of comments with active back and forth discussion. It's great that the community is helping each other improve posed problems, so that we can collate much better challenge quizzes.

Once again, I'm working on creating the challenge quizzes, and will update the following list ASAP. Some of you would also have received B-notifications that your problems were added to the quizzes over the course of the previous week. Keep it up! We value your submissions, and would love to feature more of them. Here are the quizzes that the Brilliant community helped create:

New Brilliant Challenge Quizzes

Absolute Value: Level 2, Level 3, Level 4
Linear Inequalities: Level 1, Level 2, Level 3
Radical Expressions: Level 1, Level 2, Level 3, Level 4
Uniform Circular Motion: Level 2, Level 4

New chapters
Operator Search: Level 2, Level 3, Level 4
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Let's kick off our 12th Problem Writing Party!

How it Works

The party starts right now (July 25th, 2016) and will last for the next two weeks. Throughout the two weeks, we will be focusing on writing awesome problems for the topics listed in quizzes that need your help on the publish page. We will be picking the best problems for each topic and they will be immortalized and formed into a challenge quiz. By participating, you will improve your presentation skills and learn how to write engaging problems that wow others!

The topics are:

TopicDescriptionsGreat Problems
Partial FractionsIs it true that \(\dfrac{4}{x^2-2^2} = \dfrac1{x-2} -\dfrac1{x+2}\)?Level 2, 3, 4
Geometric ProgressionsIf I run 1 mile every day, and each day I run 10% more than the previous day, on which day onwards would I have run over 2 miles?Level 1, 2, 3
Vieta's formulaIf \(P,Q,R\) are roots to the equation \( x^3 + 2x^2 + x + 1 = 0\), then prove that \(P^3 + Q^3 + R^3 =-5\).Level 3, 4, 5
MomentumHow do the pool balls move after they collide?Level 2, 3
Taylor SeriesWhy is \(1 -\dfrac13 +\dfrac15 - \dfrac17 + \dfrac19 - \cdots = \dfrac\pi4\)?Level 3, 4
Differentiation RulesTrue or False? \( \dfrac d{dx} \left [ f(x) g(x) \right ] = \left [\dfrac d{dx} f(x) \right ] \left [\dfrac d{dx} g(x) \right ] \)Level 2
Implicit DifferentiationWhat is the gradient of the curve \(x^2 +y^2 = 2\) when \(x= 1 \)?Level 2
Abstract Data TypesHow would you maintain a list to facilitate efficient deletion?Level 3

Use this note to

  1. Ask questions about the party or brainstorming ideas from Brilliant staff.

  2. Share links to great relevant problems.

  3. Bounce your ideas off each other to help formulate the best problem you can.

  4. If you're posting your problems, please keep it to one rooted comment (and I will be merging such comments from the same person). This helps us keep the page more orderly.
    You can link to your own problems by using the markdown syntax of [text](url link).

Note by Calvin Lin
4 months, 1 week ago

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I nominate @Jonas Katona's question for Taylor Series. Pi Han Goh · 4 months, 1 week ago

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@Pi Han Goh Thank you for your support!! :) I will definitely post - and come up with some more problems - before this party ends. I totally agree with Rishabh: there are so many great topics for this party! Jonas Katona · 4 months, 1 week ago

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Here's my contribution: Rolling Rugby, Bizarre Hyperbola for Implicit Differentiation

Coyote VS Road Runner, Geometric Mystery for Geometric Progression

Evil 666 for Taylor Series

Power of Derivatives for Differentiation

The Roots Are Right There! for Vieta's formula

The Hidden Prime for partial fractions. Worranat Pakornrat · 4 months, 1 week ago

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@Worranat Pakornrat Wow your first question is a very creative setup. I tried ot solve it via geometry alone but I failed miserably. Looking forward to more questions! Pi Han Goh · 4 months, 1 week ago

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@Pi Han Goh Thanks. I agree that things will get much easier with calculus. As a matter of fact, I was a bit surprised with the solution myself. 😉 Worranat Pakornrat · 4 months, 1 week ago

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When is the next party coming? Lee Care Gene · 1 week, 4 days ago

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Comment deleted 4 months ago

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@Rishabh Cool Hmmm all the questions you posted here requires a lot of different math background, which end up making the question unnecessarily tedious. Do you have any straightforward questions? Pi Han Goh · 4 months, 1 week ago

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New problem on Differentiation Rules:

https://brilliant.org/problems/chained/ Denton Young · 3 months, 3 weeks ago

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May I add some new and old problems of mine? I think they're somehow overrated though :)

for Taylor Series

Vieta's 1

Geometric Progression

Geometric Progression 2

Geometric Progression 3

Geometric Progression 4

Vieta's 2

Vieta's 3 Efren Medallo · 3 months, 3 weeks ago

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@Efren Medallo Woah! Your last question is great!!!! And I thought I want to find all the roots first =D Pi Han Goh · 3 months, 3 weeks ago

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@Margaret Zheng Hmmmm, that doesn't look like partial fractions, but instead, it should be "long division of polynomials". Pi Han Goh · 3 months, 3 weeks ago

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@Pi Han Goh Okay... Then I'd love for it to be in "long division of polynomials". I will try to think of another one :) Margaret Zheng · 3 months, 3 weeks ago

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@Margaret Zheng Haha, no problem. In the meantime, you can read up the wiki page: partial fractions. Pi Han Goh · 3 months, 3 weeks ago

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my question about partial fraction

and something is wrong with my correct answer choice... P.S. I am back from summer vacation to Brilliant! :) Margaret Zheng · 3 months, 3 weeks ago

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Here are my contributions

Chung Kevin · 4 months ago

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Agnishom Chattopadhyay · 4 months ago

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i challenge everybody and anybody to do this : " https://brilliant.org/problems/its-level-6-isnt-it/?ref_id=1244287 " let's see if you like that he he !! Shubham Dhull · 4 months ago

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Here is one for geometric progressions. Aaron Tsai · 4 months ago

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@Aaron Tsai Nice question, I see that there are indeed many ways to solve this question. Not sure why it's in Level 4 though. Hahah Pi Han Goh · 4 months ago

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@Pi Han Goh you sure talk a lot ............. i will listen to your babbling after you have solved it . ha ha!! Shubham Dhull · 4 months ago

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@Pi Han Goh were you able to solve that ques with even one of your 'methods' haHAHA!!! Shubham Dhull · 4 months ago

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@Tommy Li These are nice! Keep them comingg Pi Han Goh · 4 months, 1 week ago

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GEOMETRIC PROGRESSION Prince Loomba · 4 months, 1 week ago

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VIETA'S FORMULA Prince Loomba · 4 months, 1 week ago

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@Prince Loomba This is nice. Got anymore of these? Pi Han Goh · 4 months ago

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@Pi Han Goh No I have posted problem on different logics except my set. Sorry!! Prince Loomba · 4 months ago

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TAYLOR SERIES Prince Loomba · 4 months, 1 week ago

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All my entries will be here. I will try to write some more problems.

Taylor Series:

Partial fractions:

Geometric progressions:

Differentiation rules:

Implicit differentiation:

Hobart Pao · 4 months, 1 week ago

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@Hobart Pao Love your partial fractions question. And I thought I need to use the quadratic formula. You got me there. Got more? Pi Han Goh · 4 months, 1 week ago

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@Pi Han Goh I'll have to think of them. Thanks! Hobart Pao · 4 months, 1 week ago

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I accept! Now, to come up with some new and creative problems... Denton Young · 4 months, 1 week ago

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@Denton Young Remember to post them hereeeeeee! =D Pi Han Goh · 4 months, 1 week ago

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@Pi Han Goh Okay! Here's a simple momentum problem. Denton Young · 4 months ago

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I have two Basic problems on G.P : 1 , 2

one problem on Implicit Differentiation :1 Sambhrant Sachan · 4 months, 1 week ago

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Geometric Progressions

Taylor/Maclaurin Series

Partial Fractions

Implicit Differentiation

Wee Xian Bin · 4 months, 1 week ago

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@Wee Xian Bin Wow! Luv your circle question. I didn't expect that GeometricProgression is essential in solving this quesiton! Reshared!!

Do post moreeeeee Pi Han Goh · 4 months, 1 week ago

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Is there any problem with the "Quiz that need help" link? It seems to direct to the list in the last party. Worranat Pakornrat · 4 months, 1 week ago

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@Worranat Pakornrat I think it's fixed now. Pi Han Goh · 4 months, 1 week ago

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Here's one for Taylor Series (application). Deeparaj Bhat · 4 months, 1 week ago

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Sorry was busy. Will definitely contribute in next brilliant writing party Anubhav Tyagi · 3 months, 3 weeks ago

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Here are my fourth entries of problems:
Vieta's formula 4
Differentiation Rules 1 Pi Han Goh · 4 months ago

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Here is my second entry of problems:
Vieta's formula 1
Implicit Differentiation 1 Pi Han Goh · 4 months, 1 week ago

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Here is my first entry of problems:

Partial Fractions 1
Geometric Progressions 1. Pi Han Goh · 4 months, 1 week ago

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