In the figure m?P, k and n are in P, and P ll R. In problems 1-5 answer true if the statement necessarily follows from the given information and figure and false if it does not.
1. m?R
2. m?n
3. k?n
4. n ll R
5. k?R
1. True
2. True
3. False
4. True
5. False
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Using Green's Theorem, calculate the area of the indicated region.The area bounded above by y = 8 and below by y = 
x2
A. 192 B. 0 C. 48 D. 96
Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by x = 2tan 
, x = 0, y = - 
A. 7? + 7?2
B. 28? - 7?2
C. 14? - 
?2
D. 28 - 7?
Factor completely.144x2 - 48x + 4
A. 4(6x + 1)(6x - 1) B. -8(6x - 1)2 C. 4(6x - 1)2 D. 4(6x + 1)2
The graph of a function f is given. Use the graph to answer the question.Find the numbers, if any, at which f has a local maximum. What are the local maxima?
A. f has a local maximum at x = 0; the local maximum is -2 B. f has a local maximum at x = -? and ?; the local maximum is 2 C. f has a local maximum at -?; the local maximum is 2 D. f has no local maximum