Stokes' theorem equates the line integral of along the curve to the surface integral of the curl of over any surface with the given curve as its boundary. The simplest such surface is the triangle with vertices (1,0,1), (0,1,0), and (0,0,1).
Parameterize this triangle (call it ) by
with and . Take the normal vector to to be
Divide this vector by its norm to get the unit normal vector. Note that this assumes a "positive" orientation, so that the boundary of is traversed in the counterclockwise direction when viewed from above.
Compute the curl of :
Then by Stokes' theorem,
where
The integral thus reduces to
Answer:
Area = 1/2*(19+4)*4
= 46cm²
Step-by-step explanation:
Hope it helps you!
It has two solutions because there is two Xs in the equation (x-4) (x-4)=36 which will get u two answers
Answer:
65,000 g is equivalent to 65 kilograms
<h3>
Answer: 74</h3>
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Explanation:
We replace n with 54 to get
n+20 = 54+20 = 74
The 54th term is 74