This problem has been solved! see the answerverify that the line intergral and the surface integral of stokes theorem are equal for the following vector field, surface s and closed curve c. assume that c has counterclockwise orientation and s has a consistent orientation. f= < x, y,z> ; s is the paraboloid z = 13 - x^2 - y^2, for 0 less than or equal z less than or equal 13 and c is the circle x^2 + y^2 = 13 in the xy plane.

Line integral: Parameterize by

with . Then

Surface integral: By Stokes' theorem, the line integral of over is equivalent to the surface integral of the curl of over :

The curl of is 0, so the value of the surface integral is 0, as expected.

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

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the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights