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

Mathematics

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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.

Mathematics

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?

Mathematics

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)

Mathematics

Find the limit, if it exists.

A. 12 B. Does not exist C. 6 D. 0

Mathematics