Answer:
I think the answer is P(x>178)
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
1,2 and 4 are conservatives
3 is not conservative
Step-by-step explanation:
We calculate  the Curl F
Remember that:
         Curl F = < >
>
1. Curl F = <0,0,5-5> = <0,0,0>
   The potential function f so that  ∇f=F
   f(x,y,z) = 
   Then F is conservative
2. Curl F = < 0, 0 ,0>
   The potential function f so that  ∇f=F
   f(x,y,z) = 
   Then F is conservative
3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>
               = <0 ,0 , 10 +3xsin(y) + cos(y)<
  How the field's divergence is not zero the vector field is not conservative 
4. Curl F = <0, 0, 0>  
   The potential function f so that  ∇f=F
   f(x,y,z) =  
     
    Then F is conservative
 
        
             
        
        
        
You would add like terms so it would be 1x then you add 1 to 7 so you would get 8.. the you divide both sides by 1x and you'd get 8=x
        
                    
             
        
        
        
Answer:
B
Step-by-step explanation:
Well since it is arthimetic sequence we know the formula
We know d is difference between second term and first so it will be -5- (-12)= -5+12= 7

the domain of this is 1,2,3,4.......
range is -12,-5,2,9.......
Therefore answer is B.