When s is the open hemisphere x 2 + y 2 + z 2 = 1, z ≤ 0 , oriented by the inward normal pointing to the origin, then the boundary orientation on ∂s is clockwise. true or false?
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Mathematics, added 2021-11-26 20:32:25
Find a1 and d for an arithmetic sequence with these terms. a3=-8 and a7=32 ...
Mathematics, added 2021-11-26 19:21:16
Find a1 and d for an arithmetic sequence with these terms. a3=-8 and a7=32 ...
Answered by Deleted
The figure below shows a diagram of this problem. First of all we graph the hemisphere. This one has a radius equal to 1. Given that z ≤ 0 a sphere will be valid only in the negative z-axis, that is, we will get a half of a sphere that is the hemisphere shown in the figure. We know that this hemisphere is oriented by the inward normal pointing to the origin, then we have a Differential Surface Vector called N, using the Right-hand rule the boundary orientation is counterclockwise. Therefore, the answer above False