We want to find a scalar function

such that

.
So we need to have

Integrating both sides with respect to

gives

Differentiating with respect to

gives



So we find that

By the fundamental theorem of calculus, we then know the line integral depends only on the values of

at the endpoints of the path. Therefore
The sum of y+x, or 5+7, is rational. This is because each integer(non fraction/decimal)is rational, it is also rational.
Answer:
If 30 unicorns out of 300 walk away then it will be 300-30=270 unicorns left.
If 50 dragons fly away out of 200 then it will be 200-50=150.
Therefore there are 270 unicorns and 150 dragons left.
I hope this helps you...Thank you...
Answer:4
Step-by-step explanation:
Answer:
sorry I need points
Step-by-step explanation:
so so sorry