Solve the system by elimination.y2 + 4x2 = 21y2 - x2 = 1
A. (3, 
), (3, -
), (-3, 
), (-3, -
)
B. (2, -
), (2, 
)
C. (2, 
), (-2, 
)
D. (2, 
), (2, -
), (-2, 
), (-2, -
)
Answer: D
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Solve the problem.Find the center of mass of the solid enclosed between the cone with equation 
and the plane with equation 
if the density at any point is proportional to the distance from that point to the plane 
.
A. (
, 
, 
) = 
B. (
, 
, 
) = 
C. (
, 
, 
) = 
D. (
, 
, 
) = 
The position vector of a particle is r(t). Find the requested vector.The velocity at t = 3 for r(t) = (2t2 + 2t + 3)i - 4t3j + (6 - t2)k
A. v(3) = 14i - 108j - 6k B. v(3) = 10i - 108j - 6k C. v(3) = 14i + 108j + 6k D. v(3) = 8i - 36j - 3k
Graph the fraction or mixed number on a number line.
A. 
B. 
C. 
D. 
Two forces act at a point in the plane. The angle between the two forces is given. Find the magnitude of the resultant force.forces of 46.4 and 60.2 lb, forming an angle of 126.7°(round to the nearest pound)
A. 49 lb B. 95 lb C. 9116 lb D. 101 lb