一條數學問題

2007-02-13 3:37 am
3 c^6
----------------------------------------------=?
32π (6.67259 × 10^ -11)^2 G^3

[ π是圓周率( 3.1415926 或 355/133 ),G是萬有引力常數( 6.67259×10-11),c是光速( 299,792,458 ) ]

thx!

回答 (3)

2007-02-13 7:33 am
✔ 最佳答案
你想問什麼,你將所有資料代入,便可以計得結果

     3c6
----------------------------------------------
 32π(6.67259 × 10-11)2 G3

      3(299792458)6
=------------------------------------------------------------------
  32π(6.67259 × 10-11)2 (6.67259x10-11)3

= 1.64x10100
2007-02-14 7:58 pm
  3c6
----------------------------------------------
 32π(6.67259 × 10-11)2 G3



      3(299792458)6
=------------------------------------------------------------------
  32π(6.67259 × 10-11)2 (6.67259x10-11)3



= 1.64x10100
參考: book
2007-02-14 3:46 am
secθ = -17/8 where π/2 < θ < π

cosθ = -8/17

sinθ = 15/17 (as π/2 < θ < π)

tanθ = sinθ/cosθ = -15/8

QUESTION 2

sin a + sec a = k/2
sin a sec a = 3/2

sin a + sec a = k/2
tan a = 3/2

As π < θ < 3π/2

tan a = 3/2 gives
sin a = 3/√13
cos a = 2/√13

sin a + sec a
= sin a + (1/cos a)
= (3/√13) + [(√13)/2]
= (3√13/13) + [(√13)/2]
= [(6√13)/13]/2 + [(√13)/2]
= [(6√13)/13 + (√13)]/2
= k/2

Hence, k = (6√13)/13 + (√13)


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