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 = 6csc2 x, 
? x ? 
A. 
= 
, 
= 8
B. 
= 
, 
= 4
C. 
= 
, 
= 9
D. 
= 
, 
= 6
Answer: B
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Determine whether the following is a difference of squares.x2 - 81y2
A. No B. Yes
Convert the exponential function to the form indicated. Round all coefficients to four significant digits.
?
?
; 
?
A. 
,
B. ?
, 
C. 
,
D. 
,
E. 
,
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
- 
= 1
A. center at (3, -2)
transverse axis is parallel to x-axis
vertices at (-2, -2) and (8, -2)
foci at (3 - 
, -2) and (3 + 
, -2)
asymptotes of y + 2 = - 
(x - 3) and y + 2 = 
(x - 3)
B. center at (3, -2)
transverse axis is parallel to x-axis
vertices at (0, -2) and (6, -2)
foci at (3 - 
, -2) and (3 + 
, -2)
asymptotes of y + 2 = - 
(x - 3) and y + 2 = 
(x - 3)
C. center at (-2, 3)
transverse axis is parallel to x-axis
vertices at (-7, 3) and (3, 3)
foci at (-2 - 
, 3) and (-2 + 
, 3)
asymptotes of y - 3 = - 
(x + 2) and y - 3 = 
(x + 2)
D. center at (3, -2)
transverse axis is parallel to y-axis
vertices at (3, -7) and (3, 3)
foci at (3, -2 - 
) and (3, -2 + 
)
asymptotes of y - 2 = - 
(x + 3) and y - 2 = 
(x + 3)
Solve the problem.The change in a certain engineer's salary over time can be approximated by the linear equation 
where y represents salary in dollars and x represents number of years on the job. According to this equation, after how many years on the job was the engineer's salary $64,000?
A. 13 years B. 10 years C. 11 years D. 12 years