Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 3xi + 2xj + 7zk; C: the cap cut from the upper hemisphere x2 + y2 + z2 = 16  by the cylinder 

A. 4?
B. 3?
C. 8?
D. 2?


Answer: C

Mathematics

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Provide an appropriate response.To which of the following sets does -  belong: natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers?

A. Irrational numbers, real numbers B. Irrational numbers, natural numbers C. Rational numbers, natural numbers D. Rational numbers, real numbers

Mathematics

Provide an appropriate response.Show that the midpoint of the hypotenuse of a right triangle is equidistant from all three vertices. [Hint: See the figure below. Show that  = .]  

What will be an ideal response?

Mathematics

Provide an appropriate response.Explain how to use the APR Table to determine the true APR.

What will be an ideal response?

Mathematics

Use the rational zeros theorem to determine the potential rational zeros of the polynomial function. Do not find the zeros.f(x) = 3x5 - 3x2 + 5x - 1

A. ± 1, ± 3, ± 
B. ± 1, ± 3
C. ± 1, ± 
D. ± 3, ± 

Mathematics