Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the curves y = ±  and the lines x = 1 and x = 9, with density ?(x) = 

A.  = 3,  = 0
B.  = 5,  = 0
C.  = 2,  = 0
D.  = 4,  = 0


Answer: A

Mathematics

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Write the number in scientific notation.467.8

A. 4.678 × 10-1 B. 4.678 × 10-2 C. 4.678 × 102 D. 4.678 × 101

Mathematics

Solve the problem.A projectile is fired from a height of 9.7 feet with an initial velocity of 124 ft/sec at an angle of 54° with the horizontal. The parametric equations for the path of the projectile are x = (124 cos 54°)t, and y = 9.7 + (124 sin 54°)t - 16t2,where x and y are in feet and t is in seconds. How long does it take the projectile to hit the ground? Round your answer to the nearest tenth of a second.

A. 12.7 seconds B. 6.3 seconds C. 6.4 seconds D. 8.1 seconds

Mathematics

The graph of a one-to-one function f is given. Sketch the graph of the inverse function f-1, on the same set of axes. Use a dashed line for the inverse.

A.

B.

C.

D.

Mathematics

Divide.

A. x + 8
B.  
C. x + 7 +  
D. x + 7 +  

Mathematics