Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the parabola y = 36 - x2 and the x-axis

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


Answer: B

Mathematics

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Perform the indicated division by synthetic division.(x2 + 13x + 30) ÷ (x + 3)

A. x - 10, R = 0 B. x + 3 , R = 0 C. x + 10, R = 0 D. x + 30, R = 0

Mathematics

Expand the quotient by partial fractions.

A.  -  
B.  -  
C. 1 +  -  
D. 1 +  +  

Mathematics

Evaluate.3

A.
B.  
C.  
D. 3 

Mathematics

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence.2, 6, 10, 14, 18, . . .

A. an = n + 4; a20 = 24 B. an = 2n - 4; a20 = 36 C. an = 4n - 2; a20 = 78 D. an = 4n + 2; a20 = 82

Mathematics