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:
0.375
Step-by-step explanation:
go on google and search up "45 divided by 120" then you should have your answer lol
Since you are trying to find the price of 1 roll of tape
1.28 divided by 2 = 0.64
Since you are trying to find the price of 2 notepads
.87 divided by 3 = 0.29 + 0.29 = 0.58
Since you need the price of 2 highlighters
1.59 x 2 = 3.18
2 pens = 1.98 is a given so
0.64 + 0.58 + 3.18 + 1.98
= 6.38
Answer: yes it is hope this helped
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Step-by-step explanation: