Find the flux of the curl of field F through the shell S.F = (z - y)i + (x - z)j + (z - x)k; S: r(r,? ) = r cos?i + r sin?j + (36 - r2)k, 0 ? r ? 6 and 
A. 72?
B. 144?
C. -144?
D. -72?
Answer: A
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Find the value.Find F(f(t), g(t)) if F(x, y) = xy2 and f(t) = t4 sin2t, g(t) = -8 csc t
A. -8t4 sin2t csc t B. -8t4 C. 64t4 D. 64 sin2t csc2t
Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.
+ 
+ 
+ ... + 
+ ...
A. 
; 
B. 
; 
C. 
; 3
D. 
; 3
Perform the indicated operation involving cylindrical coordinates.Find the rectangular coordinates of the point whose cylindrical coordinates are
.
A. 
B. 
C. 
D. 
Find the modified quota asked for. Round your answer to two decimals.A university has 27 scholarships to be apportioned among the engineering students based on the enrollment in each department. There are three departments - Mechanical Engineering (M), Electrical Engineering (E), and Civil Engineering (C). The number of students in each department is given in the following table. 
Find the modified quota for the Civil Engineering Department using the divisor 27.
A. 5.52 B. 5.67 C. 5.72 D. 5.47