Find the absolute extreme values of each function on the interval.f(x) = csc x, - 
? x ? 
A. Maximum value of 0 at x = -?; minimum value of -1 at x = ?
B. Maximum value: does not exist; minimum value: does not exist
C. Maximum value of 1 at x = ?; minimum value of -1 at x = ?
D. Maximum value of -1 at x = ?; minimum value of 1 at x = 0
Answer: B
Mathematics
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Find the center of mass of a thin plate covering the given region with the given density function.The region enclosed by the parabolas y = 72 - x2 and y = x2, with density ?(x) = x2
A. 
= 36, 
= 0
B. 
= 0, 
= 
C. 
= 0, 
= 36
D. 
= 0, 
= 72
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Evaluate the integral by changing the order of integration in an appropriate way.
A. 1
B. 2
C. 2
D. 1
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Evaluate -x for the given value of x.x = 2
A. -2 B. 0 C. -3 D. 2
Mathematics
Find the length of the curve. 
a. 8.5000 b. 4.5000 c. 5.5000 d. 6.5000 e. 7.5000
Mathematics