Use polar coordinates to find the limit of the function as (x, y) approaches (0, 0).f(x, y) = 
A. 1
B. 0
C. 2
D. No limit
Answer: D
Mathematics
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Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.About the x-axisy = 4x = 4
A. 
?
B. 
?
C. 64?
D. 
?
Mathematics
Find the center of mass of a thin plate covering the given region with the given density function.The triangular region cut from the first quadrant by the line y = -x + 6, with density ?(x) = x
A. 
= 
, 
= 3
B. 
= 3, 
= 
C. 
= 
, 
= 
D. 
= 3, 
= 3
Mathematics
Write the equation of a line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form.(1, -5); y = 2x - 6
A. y = 2x - 7 B. y = -2x - 3 C. y = 2x + 7 D. y = -2x + 3
Mathematics
A. A(6, -4); B(1, -1) B. A(-6, 4); B(0, 1) C. A(6, 4); B(0, -1) D. A(6, 4); B(0, 1)
Mathematics