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Oh good... no math on this page. I saw FortyTwo trying to make Her come out, but ha ha! I waited, I waited and now I will crush you other Subscribers. Which is far more of a satisfying feeling.

 

post-809-0-64770100-1409530880_thumb.png

Aether Velvet is the name of the OC in my avatar. Drawn by me. 

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WHOA WHOA WHOA, who said you guys could get up in the negative numbers?

 

Reset to 0

It seems people are confused. Let me set this right once and for all:

 

I stopped the count before you did, because I am not counting. Even though I am a Subscriber, I have taken it upon myself to be the Ultimate Boss of this game. And that means, everyone's count is stopped. Negative, and positive, it's all over when I post in here.

 

So when you see this:

 

post-809-0-64770100-1409530880_thumb.png
 
That means you're ALL screwed. Not just the non-Subscribers/Donors/whatever.

Aether Velvet is the name of the OC in my avatar. Drawn by me. 

Deviantart

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It appears Shion has missed this, so allow me to repost it so it'll catch her attention:

 

Questions:

 

1. Show that the gradient of the function y=sin(x) at x=2? is 1.

Hint:

 

If y=sin(x), then dy/dx=cos(x). dy/dx gives the gradient of the function at any point, so all you need to do now is substitute 2? into the equation to find the gradient at x=2?. (Keep in mind this question uses radians, not degrees.)

 

 

2. Show that the infinite series 1/2+1/4+1/8+1/16+...+1/(2n)+... (i.e. img-3094146-1-post-27784-0-84894400-1410) is equal to 1.

Hint:

 

Let s be the value of the infinite series. Then s=1/2+1/4+1/8+1/16+...

Rearrange to get s-1/2=1/4+1/8+1/16+...

See if you can express the right hand side of this equation in terms of s, and then solve the equation for s.

 

 

3. Show that the area between the function y=sin(2x+?) and the x axis from x=0 to x=3?/2 is 3 units2.

Hint:

 

The function y=sin(2x+?) intersects the x axis at x=0, x=?/2, x=? and x=3?/2. It is negative from x=0 to x=?/2, positive from x=?/2 to x=?, and negative from x=? to x=3?/2. You will need to find the definite integral of y=sin(2x+?) for each of these regions, take the absolute value of each answer, and add them together to find the area.

 

 

4. Show that the shortest distance between the lines L1 and L2 is 2, where L1=<2,1,-3>+t<2,-1,2> and L2=<2,0,1>+s<4,2,0>

Hint:

 

Choose any point on L1 (call it P) and any point on L2 (call it Q). Find the vector between these points, PQ. Then find another vector, n, which is normal to the direction of both lines (finding the cross product is an easy way to do this). The shortest distance will be equal to the scalar projection of PQ on n.

 

 

 

 

Now tell me who 'Her' is already! My curiosity is killing me! In fact, I'm ready to generate more math so I can find out!

 

The current count is equal to the eigenvalue of the matrix post-27784-0-65520700-1411220137.jpgwith the highest algebraic multiplicity. (AKA 1!)

post-27784-0-65520700-1411220137.jpg


sig-4139834.sig-4138774.xzoetageppqfross

Thanks to Pink for the lovely avatar and W.G.A. for the amazing signature!

My OCs: Aero Wind, Shadowhide, Ebony (WIP)

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