Answer: 2, 4, 6, 8
Step-by-step explanation:
Just plug x into the equation for each one.
x = -3

With this one, you can see it is a linear equation and for every increase of 3 on x, y in increased by 2.
x   -6   -3   0   3   6
y   0    2    4   6   8
 
        
             
        
        
        
Answer:
This may be wrong but im guessing it is B.logarithmic
Step-by-step explanation:
 
        
                    
             
        
        
        
I'm reading this as

with 

.
The value of the integral will be independent of the path if we can find a function 

 that satisfies the gradient equation above.
You have

Integrate 

 with respect to 

. You get


Differentiate with respect to 

. You get
![\dfrac{\partial f}{\partial y}=\dfrac{\partial}{\partial y}[x^2e^{-y}+g(y)]](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20f%7D%7B%5Cpartial%20y%7D%3D%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20y%7D%5Bx%5E2e%5E%7B-y%7D%2Bg%28y%29%5D)


Integrate both sides with respect to 

 to arrive at



So you have

The gradient is continuous for all 

, so the fundamental theorem of calculus applies, and so the value of the integral, regardless of the path taken, is
