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: D
Mathematics
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Use a trigonometric substitution to evaluate the integral.
A. 
tan-1 
+ C
B. 
sin-1 
+ C
C. tan-1 
+ C
D. 
ln 
+ C
Mathematics
Factor by grouping.18a3 + 12a2b - 15ab2 - 10b3
A. (18a2 - 5b2)(a + 2b) B. (6a2 - 5b2)(3a + 2b) C. (6a2 + 5b2)(3a - 2b) D. (6a2 - 5b)(3a + 2b)
Mathematics
Express the English phrase using an algebraic expression.7 less than 8 times a number z
A. 8 - 7z B. 7z - 8 C. 7 - 8z D. 8z - 7
Mathematics
Divide.
A. 144 B. 147 R 30 C. 144 R 36 D. 147 R 5
Mathematics