Find the center of mass of a thin plate of constant density covering the given region.The region bounded by y = 8 - x and the axes
A. 
= 32, 
= 32
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 8, 
= 8
Answer: C
Mathematics
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Find all vertical asymptotes of the given function.R(x) = 
A. x = -4, x = 0, x = 7 B. x = -7, x = 4 C. x = -4, x = -30, x = 7 D. x = -7, x = 0, x = 4
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Find the slope and the y-intercept of the given line.5x + 7y = 48
A. -1
; 
B. 
; 
C. - 
; 
D. 1
; 
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Find the intercepts of the function f(x).f(x) = -x2(x + 9)(x2 - 1)
A. x-intercepts: -1, 0, 1, 9; y-intercept: 0 B. x-intercepts: -9, -1, 0, 1; y-intercept: -9 C. x-intercepts: -9, -1, 0, 1; y-intercept: 0 D. x-intercepts: -9, 0, 1; y-intercept: -9
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Evaluate the double integral by first identifying it as the volume of a solid.
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Mathematics