The total price would become 39.69.
        
                    
             
        
        
        
using 3.14 for pi
area = pi x r^2
 since he can see 12 miles in any direction 12 would be the radius
 so 3.14 x 12^2 = 452.16 square miles
 round the answer as needed.
 
        
                    
             
        
        
        
Answer:
I think this answer is correct
 
        
                    
             
        
        
        
Answer:
4 x^(3/2)         + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
                                         (1/2) + 1
This integrates to y = 6x                         
                                    ----------------                       
                                       (1/2) + 1             x^(3/2)
                                                       =  6 ------------ + C 
                                                                  3/2
               
or:        4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:  
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2)         + 5x + C
We are told that the curve represented by  this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2)         + 5·4 + C, or:
20  =  4  (8)           + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus   4 x^(3/2)         + 5x -32
                     
             
                                       (1/2 + 1)