Find the volume of the solid generated by revolving the region about the given line.The region in the first quadrant bounded above by the line y = 3x3, below by x-axis, and on the right by the line x = 1, about the line y = -1
A. 
?
B. 
?
C. 
?
D. 
?
Answer: C
Mathematics
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Solve the problem.Find the point on the parabola x = t2, y = t, -? < t < ?, closest to the point 
. (Hint: Minimize the square of the distance as a function of t.)
A. (0, 0)
B. (64, 8)
C. 
D. (16, 4)
Mathematics
Find the first term and the common ratio of the geometric sequence.1, 
, 
, 
, 
, . . .
A. a1 = 1, r = 
B. a1 = 1, r = 2
C. a1 = 
, r = 9
D. a1 = 
, r = 
Mathematics
Find the first four terms of the indicated expansion.(x1/3 - y)9
A. x3 - 9x2y + 36xy2 - 84y3 + . . . B. x3 - 9x8/3y + 36x7/3y2 - 84x2y3 + . . . C. x3 - 9x8/3y + 72x7/3y2 - 504x2y3 + . . . D. x3 + 9x8/3y + 36x7/3y2 + 84x2y3 + . . .
Mathematics
Multiply.(-9x3)(2x6)(8x4)
A. 144x72 B. -144x13 C. 144x13 D. -144x72
Mathematics