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Hiss13

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  1. 45) (cos4x)(cosx -1)=0 Therefore cos4x=0 or cosx=1 If the former, 4x=π/2 or 4x=3π/2 x=π/8 or 3π/8. Therefore, {x=kπ/8 |k=2n+1|n is an integer in [0,3]} or, x=0, 2π (for when cosx=1). 47) sin2x -2*sinx=0 sinx(sinx-2)=0 sinx=0 when x=0 or 2π sinx cannot equal 2 'Nuff said. 51 and 53 are self-explanatory. You have all the sums and differences there so the best thing to do is use the formulae. Plug and chug. All of those are variants of 45 and 30 degrees. 69) sin4x=8cos3xsinx-4cosxsinx =4cosxsinx(2cos3x-1) The first part equals 2sin2x, the second equals cos2x =2sin2xcos2x=sin4x 79) I'll just give you the hint that 75=150/2 81) 19π/12=(19π/6)/2 83) That is literally the half angle formula for cosx except x is replaced with 10x, so it's equal to cos5x. Happy math-ing~
  2. While everyone else is playing Fire Emblem, I'm just sitting here in my corner playing Stella Glow and Tales of the Abyss.

    1. Raindrop Valkyrie

      Raindrop Valkyrie

      Everyone is a strong word... cusae I'm definiltey not palying Fire Emblem right now.

    2. Commander

      Commander

      (Points to Europe) Not everyone is playing Fire Emblem. I mean I am because I have that special edition, but some people don't have that luxury.

    3. RasenShot

      RasenShot

      Wish I had the Special Edition q.q

  3. No. You're definitely missing an ln there. This step is right xln(2x+1) - int(2xdx/(2x+1)) Next step is to u-sub with 2x+1=u, u-1=2x, dx=du/2 xln(2x+1)-.5*int((u-1)du/u)=xln(2x+1)-.5*int(du)-.5*int(-du/u) Which goes to xln(2x+1)-.5*u+.5*ln(u)=xln(2x+1)-.5*(2x+1)+.5*ln(2x+1) Which then goes to (x+.5)(ln(2x+1)-1) Multiply out the -2 we took out the integral and add the C -(2x+1)(ln(2x+1)-1)+C
  4. Oh. But even so, just doing it in my head, that method should work out. Don't know why it wouldn't...
  5. Based on that you're using the wrong u and dv. u=ln(2x+1), dv=dx, carry the -2 out of the integral.
  6. The character referred to by her mistress as a "walking pair of knockers" and is poked fun at for having an attention grabbing outfit is the only one with stealth abilities...

  7. "Do you really think I would put together some grand plot and make detailed preparations? That is the mentality of the weak who are afraid of losing and cannot stand back up if they do lose. I am meaninglessly strong and simply achieve victory, so do you really think I would think like that? No matter what kind of hell I am swallowed up by, I will never want to do anything more than flirt with you, brother.”

  8. Ugh...still on the fence about trying to write a character for this one (and am having trouble coming up with superpower ideas...)
  9. Feeling so tired...waiting in a line for almost three hours in front of the Nintendo World Store today was tiring...

  10. Leivinia watched as the other aerial mage immediately took to the sky. But that no longer mattered. If he was going to try bombardment during a team battle, there were ways to avoid it. The first was simply getting in the defensive but that kind of situation was hard to get out of. The next was to charge in and hope to hit before the bombardment fired off. However, that too was never a smart move. But, there's another working strategy in that case. She smirked as she thought. She let her friendly demeanor drop as small blue wings began to appear at her ankles. As her body raised itself, she immediately charged towards Liliana at high speed aiming to smash the edge of the blade into her wrist.
  11. All I want GameFreak to do in Sun and Moon is to bring back character customization. That would be wonderful.

    1. ZEL

      ZEL

      I think they probably will. I saw the lack of it in ORAS more as a result of them being remakes and GF wanting to keep the characters the same.

    2. Spineblade

      Spineblade

      It seems like such an integral part of making it a personal experience that I'd be incredibly surprised if there was no customisation.

    3. Raindrop Valkyrie

      Raindrop Valkyrie

      I imagine they will. After all it only really was removed from ORAS to persevere the spirit I feel XD. SInce it wasn't in that one. But, I imagine they will bring it back lololol.

  12. PRAISE THE MOON!

  13. Sun and Moon are now announced~

  14. My battalion commander is my childhood friend's favorite desert connoisseur...that's a new twist...

  15. "Cuddle with Chibi" "Raven Branwen"...huh... Excuse me while I go off to think about my life choices...
  16. Apparently, some people say this tweet by Masuda confirms that these are real. It translates to: "Even though the sun is still out, the moon is large, and shining brightly. The birds are also chirping (laugh)" Pokemon Bird Version confirmed to be the third version. *runs*
  17. Pokemon Battle Network: Red Sun and Blue Moon. *runs*

    1. Tomas Elliot

      Tomas Elliot

      You are not the first one who makes this joke, I saw it posted on the website that "leaked" the trademark thing too :P

    2. Hiss13

      Hiss13

      Seriously? Damn...beaten to the punch.

  18. Why are we even assuming that these titles refer to Gen VII games? Assuming that these trademarks turn out to be titles for games that are in development, there's no evidence that they link to Gen VII. Before you guys say that the titles seem nothing connected with XY, you have to remember, GameFreak is no stranger to surprising us. Just look at Black 2 and White 2 after everyone was expecting Gray. For all we know, these could be Generation 6.5 games. So calm down, people. Stop jumping to conclusions based on nothing.
  19. Moon version master race. *runs*

    1. Combat

      Combat

      Praise the Sun!

    2. Hiss13

      Hiss13

      Praise the Moon for it gives us light on the darkest of nights when the sun has forsaken us.

  20. Just like her older brother did, Mira jumped into the the shaft, grabbing a thick wire and slid down until she landed and then dropped into the elevator. She took a quick look at the body laying in the elevator before making her way out, following the rest of the group. Like Heavensea, she too pressed herself against the wall at first sight of the three in the center of the cafeteria. Were they survivors? From the situation and the corpses strewn about, such an explanation was unlikely. In other words, these three were likely the assailants. Either that or survivors without a single care in the world. She then turned her head to see Symphony as she pulled out a microphone. She wouldn't! Does she realize what she's about to do at all? The fact that they're ignoring us even after all the noise we've caused is...
  21. Weeb games are wonderful. Stella Glow is so much fun.

  22. Happy Birthday Tomas. May all your card games end in victory~
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