Use a half-number identity to find an exact value for the function, given the information about x.cos , given cos x = - , with ? < x < 

A.
B. - 
C.
D. - 


Answer: D

Mathematics

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = sin 5yi + cos 5xj; C is the rectangle with vertices at (0, 0), , and 

A. 0
B. - ?
C. ?
D. - ?

Mathematics

Tell which set or sets each number belongs to: natural, whole, integer, rational, irrational, real. 

A. Real, irrational B. Real, rational, integer C. Real, rational D. Real

Mathematics

Find the transverse axis, vertices, and foci of the hyperbola. -  = 1

A. transverse axis is x-axis
vertices at (-10, 0) and (10, 0)  
foci at (- 2, 0) and (2, 0)
B. transverse axis is x-axis
vertices at (-8, 0) and (8, 0)  
foci at (-10, 0) and (10, 0)
C. transverse axis is y-axis
vertices at (0, -8) and (0, 8)  
foci at (0, - 2) and (0, 2)
D. transverse axis is x-axis
vertices at (-8, 0) and (8, 0)  
foci at (- 2, 0) and (2, 0)

Mathematics

Evaluate the improper integral or state that it is divergent. 

A. -  ln 2
B.  ln 5
C. ln 2
D. ln 4

Mathematics