Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the parabola y = 81 - x2 and the x-axis

A.  = 0,  = 
B.  = 0,  = 
C.  =  = 0
D.  = 0,  = 


Answer: D

Mathematics

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The current San Francisco cable railway is driven by two large 16-foot-diameter drive wheels, called sheaves. Because of the figure-eight system used, the cable subtends a central angle of 270° on each sheave. Find the length of cable riding on one of the drive sheaves at any given time. ?    ? ??a = 16 ?

A. 38.7 feet B. 35.7 feet C. 40.7 feet D. 37.7 feet E. 33.7 feet

Mathematics

Write the standard form of the equation of the circle. 

A. (x + 3)2 + (y + 4)2 = 25 B. (x - 3)2 + (y - 4)2 = 25 C. (x - 4)2 + (y - 3)2 = 25 D. (x + 4)2 + (y + 3)2 = 25

Mathematics

Solve the equation by extracting the square roots.3(v + 4)2 = 125

A. v = 4 - 5 or v = 4 + 5
B. v = -4 - 5 or v = -4 + 5
C. v = 4 - 5 or v = 4 + 5
D. v = -4 - 5 or v = -4 + 5

Mathematics

Divide the polynomial by the monomial.

A. 6x + 40x3 + 
B. 6x - 5
C. 6x - 5 + 
D. 10x - 5

Mathematics