Maths唔識抵死題

2011-04-14 6:26 pm
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更新1:

U can get double marks - 10 if yr ans is chosen!

回答 (1)

2011-04-15 12:54 am
✔ 最佳答案
Q1.
(x - 3x^2 + x^30)^7 = [x(1 - 3x + x^29)]^7
= x^7(1 - 3x + x^29)^7
= x^7[(1 - 3x) + x^29]^7
= x^7[(1 - 3x)^7 + 7(1 - 3x)^6(x^29) + .........]
(1 - 3x)^7 = 1 + 7(-3x) + (7C2)(-3x)^2 + (7C3)(-3x)^3 + .......
so the coefficient of x^10 = (7C3)(-3)^3 = (35)(-27) = - 945.
Q2.
2 sin x cos x = 0.5
sin 2x = 0.5
2x = arcsin 0.5 = 30, 150, 390, 510
x = 15, 75, 195 and 255. ( 0 < x < 360).


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