Using Green's Theorem, find the outward flux of F across 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: D

Mathematics

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Simplify.

A.  
B.  
C.  
D. - 

Mathematics

Find the volume of the sphere or the cylinder. Use ? = 3.14 when needed. Round to the nearest thousandth if necessary.A sphere with radius 0.7 m.

A. 0.808 m3  B. 2.051 m3  C. 11.488 m3 D. 1.436 m3 

Mathematics

Find the exact value under the given conditions.Given cos ? = - , with ? in quadrant II, and sin ? = , with ? in quadrant II. Find cot(? + ?).

A.
B. - 
C. - 
D. - 

Mathematics

If P(A) = 0.38, P(B) = 0.83, and P(A B) = 0.27; then P(A B) =

a. 1.21 b. 0.94 c. 0.72 d. 1.48

Mathematics