Answer:
a) 
b) 10
Step-by-step explanation:
a) Here 
Since the case 
= ∇
holds, then
∇
= 
So, 
If we integrate 
with respect to x, we will get an integration constant C which is also a function that depends to y and z.
Hence,
Now we need to find g(y,z).
So first let's take the derivative of g(y,z) with respect to y.
Hence, 
So now, if we integrate 
with respect to y to find g(y,z)
Thus,
And since 
, then 
Thus,
b) By the Fundamental Theorem of Line Integrals, we know that
![\int\limits^a_b F. dr = F[r(b)]-F[r(a)]](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%5Br%28b%29%5D-F%5Br%28a%29%5D)
Hence,
![\int\limits^a_b F. dr = F(1,1,1)-F(0,0,0) =[(5+1+4)-(0+0+0)]=10](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%281%2C1%2C1%29-F%280%2C0%2C0%29%20%3D%5B%285%2B1%2B4%29-%280%2B0%2B0%29%5D%3D10)
Answer:
D
Step-by-step explanation:
When the equation equals itself on both sides, you have an infinite solutions.
So we just go through each of the choices.
So D works because it has 0=0
Answer:
I don't know man
Step-by-step explanation:
<h3>
Answer: 4.475 gallons</h3>
Work Shown:
17 & 1/8 = 17 + 1/8 = 17 + 0.125 = 17.125
17.125 - 12.65 = 4.475
