Find the flux of the curl of field F through the shell S.F = 8zi + 4xj + 7yk; S is the portion of the cone z = 4 below the plane z = 3

A. - ?
B. ?
C. - ?
D. - ?


Answer: D

Mathematics

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Solve the problem.A whispering gallery is a room in the shape of an elliptic reflector. If a source of sound is placed at one focal point of an elliptic reflector, the sound is reflected through the other focal point. If one person speaks at one focal point, then another person at the other can hear sounds as faint as a whisper. If the whispering gallery is based on the ellipse  how many units from the center of the ellipse would the two people stand?

A. 5 units B. 4 units C. 16 units D. 3 units

Mathematics

Find the magnitude or direction angle of the given vector as indicated.u = 8[(cos 30°)i + (sin 30°)j]; Find the direction angle ?.

A. 45° B. 30° C. 120° D. 60°

Mathematics

Perform the subtraction and simplify.



a.
b.
c.
d.
e.

Mathematics

Graph the function over a one-period interval.y =  sin (x + ?)

A.

B.

C.

D.

Mathematics