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Here is the equation:
You need to find f(3). To do that, substitute all the x's with 3:
The first thing you need to do is multiply 4 by 3. Multiply:
Here is your new equation:
To get your answer, you need to add 12 and 1. Add:
That means:
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Answer:
The circulation of the field f(x) over curve C is Zero
Step-by-step explanation:
The function and curve C is ellipse of equation
Theory: Stokes Theorem is given by:
Where, Curl f(x) =
Also, f(x) = (F1,F2,F3)
Using Stokes Theorem,
Surface is given by g(x) =
Therefore, tex]\hat{N} = grad(g(x))[/tex]
Now,
Curl f(x) =
Curl f(x) =
Curl f(x) = (0,0,4)
Putting all values in Stokes Theorem,
I=0
Thus, The circulation of the field f(x) over curve C is Zero