Determine whether the nonincreasing sequence converges or diverges.an = 
A. Diverges
B. Converges
Answer: B
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Solve the problem.Find the area of the region enclosed by y = 4x sin x and the x-axis for 0 ? x ? ?.
A. 2? B. ? C. 4? D. 8?
Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.
+ 
+ 
+ ... + 
+ ...
A. 
; 3
B. 
; 3
C. 
; 3
D. 
; 3
Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(y - 2)2 - 16(x + 1)2 = 16
A. center: (1, -2)
transverse axis: x = 1
vertices: (1, -6) and (1, 2)
foci: (1, -2 - 
) and (1, -2 + 
)
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
B. center: (-1, 2)
transverse axis: x = -1
vertices: (0, -1) and (0, 7)
foci: (0, 3 - 
) and (0, 3 + 
)
asymptotes: y - 2 = - 
(x + 1) and y - 2 = 
(x + 1)
C. center: (-1, 2)
transverse axis: x = -1
vertices: (-1, -2) and (-1, 6)
foci: (-1, 2 - 
) and (-1, 2 + 
)
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
D. center: (-1, 2)
transverse axis: y = 2
vertices: (1, -4) and (-1, 4)
foci: (-1, - 
) and (-1, 
)
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
Express the limit as a definite integral where P is a partition of the given interval.lim
?0
?xk, [-2, 5]
A. 
B. 
C. 
D. 