變分\正變

2012-07-05 12:24 am
z隨y^2正變且隨x反變 x y>0當x=6 y=3 z=54

a以x.y表示z
b當x=4 z=216 求y
更新1:

仲有一題不等式 解2+x/3>11-x/2

回答 (2)

2012-07-05 3:51 am
✔ 最佳答案
1 (a) 令z = Cy^2/x

代入x=6 y=3 z=54

54 = 9C/6

C = 36

因此﹐z = 36y^2/x

(b) x=4 z=216, 216 = 36y^2/4 =>y = √24

2

2 + x/3 > 11 - x/2

5x/6 > 9

x > 54/5
2012-07-07 3:14 am
1a
z=k(y^2)/x k為非零常數
54=k(3^2)/6
k=36
z=36(y^2)/x

1b
216=36(y^2)/4
y^2=24
y=√24

2
2+x/3>11-x/2
12+2x>66-3x
5x>54
x>10.8


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