Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (-y - ey cos x)i + (y - ey sin x)j; C is the right lobe of the lemniscate r2 = cos 2? that lies in the first quadrant.
A. 0
B. 
C. 1
D. 
Answer: B
Mathematics
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Find the volume of the indicated region.the region in the first octant bounded by the coordinate planes and the planes 
, 
A. 27
B. 
C. 2187
D. 243
Mathematics
Find all the complex roots. Write the answer in the indicated form.The complex cube roots of -8 (rectangular form)
A. -2, 1 + 
i, -1 - 
i
B. -2, -1 - 
i, 1 - 
i
C. -2, -1 + 
i, -1 - 
i
D. -2, 1 + 
i, 1 - 
i
Mathematics
Determine all possible digits to place in the square that make the statement true. If none exist, state this.4,3?2 is divisible by 9.
Fill in the blank(s) with the appropriate word(s).
Mathematics
Divide. Write the answer in simplest form.44 ÷ 2
A. 19
B. 20
C. 18
D. 21
Mathematics