Evaluate the improper integral.
A. 
B. 
C. 
D. 
Answer: B
Mathematics
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Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the x-axis and the curve y = 3sin x, 0 ? x ? ?
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= ?, 
= 
Mathematics
Use a trigonometric substitution to evaluate the integral.
A. ln 6 - ln(1 + 
)
B. ln 
C. ln (e3 + 
)
D. ln(3 + 
) - ln(1 + 
)
Mathematics
Provide an appropriate response.If f(x, y, z) = x2yz2 + xy2z + xy, then fx(1, 2, 3) =
A. 36. B. 55. C. 48. D. 50. E. none of the above
Mathematics
Find the probability.A bag contains 4 red marbles, 5 blue marbles, and 7 green marbles. What is the probability of choosing a blue marble?
A. 
B. 
C. 
D. 
Mathematics