?Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown.
?
?
A. ?The critical number ??
yields an absolute maximum and the critical number 
yields an absolute minimum.
B. ?Both the critical numbers 
& 
yield an absolute maximum.
C. ?The critical number 
yields an absolute minimum and the critical number 
yields an absolute maximum.
D. ?Both the critical numbers 
and 
yield an absolute minimum.
E. ?The critical number 
yields a relative minimum and the critical number 
yields a relative maximum.
Answer: C
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Match the equation with the appropriate graph.f(x) = 
A. 
B. 
C. 
D. 
The area of a triangular sheet of paper is 11 square inches. One side of the triangle is 5 inches more than three times the length of the altitude to that side. Find the length of that side and the altitude to the side.
A. an altitude of 11 inches, a side of 21 inches long B. an altitude of 2 inches, a side of 11 inches long C. an altitude of 1 inches, a side of 11 inches long D. an altitude of 11 inches, a side of 2 inches long E. none of these
Use reduction formulas to evaluate the integral.
A. - 
cot3 4x + 
cot 4x + x + C
B. - 
cot3 4x + 
cot 4x + C
C. - 
cot2 4x + 
cot 4x - x + C
D. - 
cot3 4x - 
cot 4x + x + C
Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by x = y2 and the line x = 1, with density ?(x) = y2
A. 
= 
, 
= 0
B. 
= 0, 
= 
C. 
= 
, 
= 0
D. 
= 
, 
= 0