Answer:
See Below. 
Step-by-step explanation:
We want to show that the function: 

Increases for all values of <em>x</em>. 
A function is increasing whenever its derivative is positive. 
So, find the derivative of our function: 
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate: 

Simplify: 

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
 
        
             
        
        
        
F(6) = 2(6) + 1
 = 12 +1
 = 13
f(3) = 2(3) + 1
 = 6 + 1
 = 7
f(-5) = 2(-5) + 1
 = -10 + 1
 = -9
        
             
        
        
        
Step-by-step explanation:
the outer left side is also 50 ft.
in inner (upper) left side is also 13 ft.
the bottom line is 10+20+11 = 41 ft
this is all possible because all the angles are clearly right angles (90°).
so, the perimeter is
2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft
 
        
             
        
        
        
Answer:
Ok, so I hope I understood the task. Here goes nothing
Step-by-step explanation:
So, first we calculate the area of the big rectangle,
(√63+√28)*√45 = 15√35
Then we calculate the area of the small rectangle
√7*√5 = √35
Then we do this to get the area left
15√35 - √35 = 14√35
Then we take 

That should explain it
 
        
             
        
        
        
Answer:
 or 1.414
 or 1.414
Step-by-step explanation:
1) Find the mean. 1+2+3+4+5 = 15. 15/5= 3
2) For each data point, find the square of its distance to the mean. (4, 1, 0, 1, 4)
3) Sum the values from Step 2. 10
4) Divide by the number of data points. 10/5= 2
5) Take the square root. 