Find absolute maximum and minimum values of the function, if they exist, over the indicated interval. Where no interval is specified, use the real line. List your answers in terms of ordered pairs.
Absolute minima at (0, ? 2) and (2? , 2) ;
absolute maximum at (? , 2)
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Find the center of mass of a thin plate of constant density covering the given region.The region between the x-axis and the curve y = 4csc2 x, 
? x ? 
A. 
= 
, 
= 6
B. 
= 
, 
= 4
C. 
= 
, 
= 
D. 
= 
, 
= 
Evaluate the integral.
A. 8i - 4j + 4k
B. 8i + 4j - 4k
C. 4i - 2j - 
k
D. 4i + 2j - 
k
Use the basic trigonometric identities and the given information to find the exact values of the remaining trigonometric functions.tan ? = - 
and sec ? < 0
A. sin ? = 
cos ? = - 
tan ? = - 
csc ? = 
sec ? = - 
cot ? = - 
B. sin ? = 
cos ? = - 
tan ? = - 
csc ? = 
sec ? = - 
cot ? = - 
C. sin ? = - 
cos ? = 
tan ? = - 
csc ? = 
sec ? = 
cot ? = - 
D. sin ? = 
cos ? = - 
tan ? = - 
csc ? = 
sec ? = - 
cot ? = - 
Multiply.(6.134)(-1000)
A. -613.4 B. -6134 C. -0.6134 D. -0.06134