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Geometry (I)

Imagine that we have 2 parallel lines and there are 5 points on each line.

How many triangles can we make by them?

 

 

1-      100

2-      200

3-      150

4-      300

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Let's study "Mathematics" with each other! (6)

1.

If:

 

f(x)=  x  , for x≤1       &      x^2  ,for  x>1

 

Then,

What is the inverse of f(x)?

 

1-    x  , for x≤1       &      √x  ,for  x>1

2-    -x  , for x≤1       &      -√x  ,for  x>1

3-    1/x  , for x≤1       &      1/x^2  ,for  x>1

4-    -1/x  , for x≤

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Let's study "Mathematics" with each other! (7)

1.

sin-1 x + cos-1 x=?

 

1-    π/4

2-    π

3-    π/2

4-   

 

     *******       *******       *******       *******       *******

2.

If,

 

-π/2 < Ө < π/2

Sinhx= tgӨ

 

Then,

 

Coshx=?

 

1-    cos Ө

2-    csc Ө

3-    sec Ө

4-    sin Ө

 

     *******       *******       ***

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Let's study "Mathematics" with each other! (2)

1-If we have:

 

[x] ≤ (x/2)

 

Then which one is right?

 

1-      {x: x>1}

2-      {x: x<1}

3-      {x: -1<x<1}

4-      {x: -2<x<0}

 

       *******       *******       *******       *******       *******

 

2-Which one is odd?

 

1-      Ln {x+(1+x2)}

2-      e^sinx

3

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Let's study "Mathematics" with each other!

Hi dear friends!

How are you?

Are you interested in "Math"?!

So…

Let's study it together!

 

Please answer these questions:

 

1-      If  we have:

 

1< (2|x|-1)/|x|+1 < 2

 

Then;

Which one is right?

 

1)      x > 1/2

2)      -2 < x < 2

3)      x < -(1/3) or x > (1/3)

4

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Let's study "Mathematics" with each other! (4)

 

1-      If we have:

 

f(x)= x^2+2x

g(x)=x^3

 

Then, how many answers can (gof)(x)=(fog)(x) have?

1-      1

2-      2

3-      3

4-      6

 

       *******       *******       *******       *******       *******

 

 

2-      If we have:

 

f(x)=2[x]+2[-x]

 

Then, what is

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Pigeon Wings Sound the Alarm

When birds make noise, it's not always with their throats. In hummingbirds and manikins, for example, special feathers flutter and vibrate to produce tones and whistles, which impress potential mates and scare off competitors. Now researchers have fo

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Don't Stand So Close to Me

In a famous episode of the TV show Seinfeld, a "close talker" makes others uncomfortable by standing mere centimeters from their faces while speaking. What makes this invasion of our personal space so uncomfortable? A new study fingers the amygdala,

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