Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum. 
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation. 
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins. 
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing. 
 
        
             
        
        
        
Answer:
70 days
Step-by-step explanation:
14x5=70
10x7=70
  
        
             
        
        
        
Is there an option for (14,8)? It's rise over run 
        
             
        
        
        
Answer:
x=1
Step-by-step explanation:
3(x+1)=-2(x-1)+6
3x+3=-2x+2+6
3x+2x=2+6-3
5x=8-3
5x=5
x=
x=1
 
        
             
        
        
        
Answer: 
Step-by-step explanation:
Given
The radius of the cycle is 
Distance traveled by Paul is 
Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.

No of revolution made by wheel
