It's divergent because 1/√(5 - <em>x</em>) is defined only for <em>x</em> < 5, which means the integral from 5 to infinity doesn't exist.
 
        
             
        
        
        
Answer:
23.24 feet 
Step-by-step explanation:
Use the pythagorean theorem: a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.
In this situation, the ladder is the hypotenuse of the triangle, and the distance from the base of the building is the long leg.
Plug in the ladder length as c and plug in the distance from the base of the building as a:
a² + b² = c²
(6²) + b² = (24)²
36 + b² = 576
b² = 540
b = 23.24
So, the ladder reaches approximately 23.24 feet up the wall
 
        
                    
             
        
        
        
Answer:
1. A
2. C
Step-by-step explanation:
 
        
             
        
        
        
U find the surface of the area
        
             
        
        
        
Answer:
x=7/3
Step-by-step explanation:
8 ^ (x - 1 ) = 16 
We need to rewrite 8 as 2^3  and 16 as 2^4
2^3 ^ (x - 1 ) = 2^4
We know that a^b^c = a^(b*c)
2^(3(x-1)) = 2^4
The bases are the same so the exponents are the same
3(x-1) = 4
Distribute
3x-3 = 4
Add 3 to each side
3x-3+3 = 4+3 
3x = 7
Divide by 3
3x/3 = 7/3
x=7/3