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
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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. - ?
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
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)
Evaluate the improper integral or state that it is divergent.
A. - ln 2
B. ln 5
C. ln 2
D. ln 4