Solve the problem.It can be shown that if the angle of elevation from an observer to the top of an object is A and the angle of elevation d ft closer is B, then the distance from the object to the closest point of observation is given byD =
ft.Find B if
and
Give your answer in degrees to the nearest hundredth.
A. 51.00°
B. 64.09°
C. 61.64°
D. 72.05°
Answer: D
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Solve the problem.Find the moment of inertia about the origin of a thin plane of constant density bounded by the coordinate axes and the line
.
A.
B.
C. 5000
D.
Find the flux of the curl of field F through the shell S.F = (x-y)i + (x-z)j + (y-z)k; S is the portion of the cone z = 4 below the plane z = 4
A. - 4? B. - 2? C. 4 D. 2?
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -
= 1
A. center at (-2, -4)
transverse axis is parallel to y-axis
vertices at (-2, -6) and (-2, -2)
foci at (-2, -4 - ) and (-2, -4 +
)
asymptotes of y - 4 = - (x - 2) and y - 4 =
(x - 2)
B. center at (-2, -4)
transverse axis is parallel to x-axis
vertices at (-4, -4) and (0, -4)
foci at (-2 - , -4) and (-2 +
, -4)
asymptotes of y + 4 = - (x + 2) and y + 4 =
(x + 2)
C. center at (-2, -4)
transverse axis is parallel to x-axis
vertices at (-5, -4) and (1, -4)
foci at (-2 - , -4) and (-2 +
, -4)
asymptotes of y + 4 = - (x + 2) and y + 4 =
(x + 2)
D. center at (-4, -2)
transverse axis is parallel to x-axis
vertices at (-6, -2) and (-2, -2)
foci at (-4 - , -2) and (-4 +
, -2)
asymptotes of y + 2 = - (x + 4) and y + 2 =
(x + 4)
Find the limit, if it exists.
A. 12 B. Does not exist C. 6 D. 0