Mathematics B Regents High School Examination - The University Of The State Of New York, 2007 Page 7
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28Use this space for
17 A black hole is a region in space where objects seem to disappear. A
computations.
formula used in the study of black holes is the Schwarzschild formula,
= 2
GM
R
.
2
c
Based on the laws of logarithms, log R can be represented by
(1) 2 log G + log M – log 2c
(2) log 2G + log M – log 2c
(3) log 2 + log G + log M – 2 log c
(4) 2 log GM – 2 log c
18 In the unit circle shown in the accompanying diagram, what are the
coordinates of (x,y)?
y
x
30°
(x,y)
⎛
⎞
3
−
−
0 5
.
(1)
(3) (–30,–210)
⎝ ⎜
,
⎠ ⎟
2
⎛
⎞
⎛
⎞
3
−
2
2
0 5
. ,
−
−
−
⎝ ⎜
⎠ ⎟
(2)
(4)
⎝ ⎜
,
⎠ ⎟
2
2
2
[7]
[OVER]
Math. B – Jan. ’07
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