Find the flux of the curl of field F through the shell S.F = (1 - y)i + (4 + x)j + z5k; S is the upper hemisphere of x2 + y2 + z2 = 9

A. 36?
B. -4?
C. 2?
D. 18?


Answer: D

Mathematics

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Perform the division. Write the answer with positive exponents.

A. 6x3 + 28x7 - 28x6 + 35x4 + 4x2
B. 42x8 + 4x2 - 4 +  + 
C. 6x2 + 4- 4 +  + 
D. 6x3 + 4x2  - 4

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Use DeMoivre's Theorem to write the expression in rectangular form.3

A. 4 - 4i
B. -4 - 4i
C. 4 + 4i
D. -4 - 4i

Mathematics

Find the perimeter.

A. 39 cm B. 55 cm C. 45 cm D. 49 cm

Mathematics

Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function. ? 

A. ; relative minimum value: 
B. ; relative maximum value: 
C. ; saddle point: 
D. there are no critical points

Mathematics