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Math Fun! (Answers)

Discussion in 'Media' started by CattyCat, Sep 27, 2016.

  1. CattyCat

    CattyCat Member

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    Here are the answers to Math Fun. Please do the problems/attempt to do the problems (or just look at them briefly) before looking at the solutions.
    [​IMG]
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    Note: this problems asks for the remainder, not the quotient. Therefore, the correct answer is 6 (the quotient would be approx. 7.85).
    [​IMG]
    Let x be multiple choice and y be fill-in-the-blanks.
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    The perimeter would be increased by 2m. (If the tile was removed from the corner, the perimeter would stay the same.)
    [​IMG]
    [​IMG]
     
    Last edited: Oct 14, 2016
  2. CattyCat

    CattyCat Member

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    [​IMG]
    [​IMG]
    [​IMG]
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    This one's complicated. Let me walk you through this.
    Step 1: Solve for x using the Pythagorean Theorem.
    [​IMG]
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    Step 2: Implicitly differentiate the Pythagorean Theorem with respect to t.
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    Step 3: Plug in your known values and solve for dx/dt.
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    Here's the indefinite integral: [​IMG]
    [​IMG]
    Here's the indefinite integral: [​IMG]
     
    Last edited: Oct 14, 2016
  3. CattyCat

    CattyCat Member

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    A neat little formula discovered by Carl Friedrich Gauss that easily lets you add up all numbers from 1 to x quickly:

    [​IMG]
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    Here's a graph so you can better visualize it:[​IMG]
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    False, because the result is missing the constant of integration ("+ C").
    i eight sum pi
    (I ate some pie.)
     
  4. CattyCat

    CattyCat Member

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    [​IMG]

    Last edited by Leonhard Euler, April 15, 1707
     
  5. xx_360noscope101

    xx_360noscope101 Member

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    Ya know about 99.99999999% of the people hate math ya know?
     
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  6. CattyCat

    CattyCat Member

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    Do you mean 99.9 repeating %?

    If so, it means that 100% of people hate math, which is false, because I like math ;).

    Here are some proofs.
     
  7. xx_360noscope101

    xx_360noscope101 Member

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    No im just exaggerating but you know what I mean. I also proved myself wrong cuz I like math too. Don't think too literal plz.
     
  8. iSavageSardine

    iSavageSardine Member

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    Wow, ur the smartest person I've ever met, this insane how you do these problems
     
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  9. maxminoS

    maxminoS Member

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    In my defense, I haven't learnt integrals, I've just started on differentiation/calculus
     
  10. CattyCat

    CattyCat Member

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    Anyone want me to go through a detailed explanation of the harder problems?

    For the limit problem, use l'Hôpital's rule.
     
  11. CattyCat

    CattyCat Member

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    What do you guys think is harder: Statistics or Calculus?
     
  12. xx_360noscope101

    xx_360noscope101 Member

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    I would rather just do addition.....
    Hey but you are really good at math! Keep at it!
     
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  13. CARDAN16

    CARDAN16 Mod Staff Member Moderator

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    Math is very challenging for me, no idea how it is possible to do a lot of it.
     
  14. CattyCat

    CattyCat Member

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    #15 was also very difficult.
    [​IMG]
    1. Factor the denominator:
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    2. Split the fraction into partial fractions, and substitute the numerators with constant variables:
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    3. Multiply both sides by the left denominator, and simplify:
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    4. Solve for B and C:
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    5. Substitute back the constants, expand, then factor:
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    6. Solve for A:
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    7. Substitute the constants back into the partial fraction:
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    8. The rest is straightforward:
    [​IMG]
    Note: for the indefinite integral, you're on your own. But just substitute the antiderivative with x=128, then subtract the antiderivative with x=32. Ignore the constant of integration
     
  15. Rainbowaffelz

    Rainbowaffelz Member

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    Just looking at the answers makes my head hurt
     
  16. CattyCat

    CattyCat Member

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    Can you guys at least memorize your trigonometric identities?
     
  17. Jeff_Bllkth

    Jeff_Bllkth Member

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    I love Math xD But not when there are many problems
     
  18. CARDAN16

    CARDAN16 Mod Staff Member Moderator

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    No I can't, I forgot what that even is.
     
  19. QuikMiner

    QuikMiner Member

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    *Face palm* I thought knowing linear algebra was something to brag about... my man you know a lot.
     
  20. packta

    packta Member

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    Those were cool! Enjoyed solving them :) Can you make some more please? I missed the first post when you made it @CattyCat