呢題數要點樣做啊??

2011-04-18 3:48 am

回答 (2)

2011-04-18 3:59 am
✔ 最佳答案
(I) 令y = 0 => 2x^2 - 4x = 0

2x(x - 2) = 0

x = 2

因此x的取值範圍是0< x < 2

(II) 4x - 2x^2 = y^2

y = √(4x - 2x^2)

log x + log y

= log x + log √(4x - 2x^2)

= log √(4x^3 - 2x^4)

= (1/2)log(4x^3 - 2x^4)

當x = 1.5時﹐該式有最大值(1/2)log3.375
2011-04-18 11:16 pm
I)

2x^2 + y^2 - 4x = 0

2x^2 - 4x = -y^2 < 0 (since y^2 >0)

2x(x-2) < 0

0< x <2


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