Identify the conic that the polar equation represents. Also, give the position of the directrix.r = 
A. ellipse, directrix perpendicular to the polar axis left of the pole
B. ellipse, directrix parallel to the polar axis above the pole
C. ellipse, directrix parallel to the polar axis below the pole
D. ellipse, directrix perpendicular to the polar axis right of the pole
Answer: C
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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. ?
Find the volume of the indicated region.the region bounded by the coordinate planes and the planes ,
A.
B.
C. 243
D.
Find the first two nonzero terms of the Maclaurin expansion of the given function.f(x) = xecos x
A. x - + ...
B. ex - e3x3 + ...
C. x - x3 + ...
D. ex - + ...
Use the properties of logarithms to evaluate the expression without the use of a calculator.logxx3, x > 1
A. 0
B. 1
C.
D. 3