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
1.2 hours? i think it is 6 divided by 5 or something??? idk
Answer: 5 inch by 6 inch
Explanation:
What will the dimensions of the poster be if she scales it down by a factor of one - third
Let us scale down each side one by one.
The poster is 15 in by 18 inches in dimensions
The new dimensions will be
15 × 1/3 = 5 inch
18 × 1/3 = 6 inch
The correct answer is 5 inches by 6 inches.
Marcus sold 8 cups of lemonade and 3 bags of peanuts. 0.75 times 8 equals $6.00. 0.35 times 3 equals $1.05. $6.00+ $1.05= $7.05. Your welcome dude
Answer:
(0,0)
Step-by-step explanation: