Find the surface area of the surface S.S is the upper cap cut from the sphere x2 + y2 + z2 = 169 by the cylinder
.
A. 104
B. -208?
C. 208?
D. 3744?
Answer: C
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Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by x = , 0 ? y ?
, x = 0
A.
B. 4?
C.
D. 2?
Solve the rational inequality. > 0
A.
B.
C. (-?, 0)
D.
Write the first four terms of the sequence whose general term is given.an =
A. ,
,
,
B. 0, 0, ,
C. 0, 0, ,
D. 1, ,
,
Suppose that the function with the given graph is not f(x), but f'(x). Find the open intervals where the function is concave upward or concave downward, and find the location of any inflection points.
A. Concave upward on (-1, 0) and (1, ?); concave downward on (-?, -1) and (0, 1); inflection points at -4, 0, and 4 B. Concave upward on (-?, 0); concave downward on (0, ?); inflection point at 0 C. Concave upward on (-?, -1) and (0, 1); concave downward on (-1, 0) and (1, ?; ); inflection points at -1, 0, and 1 D. Concave upward on (-1, 0) and (1, ?); concave downward on (-?, -1) and (0, 1); inflection points at -1, 0, and 1