[考題] 基礎數學/951期中考/陳永秋
1.(10%)
I let L be the line x-4y=8. Find the equations of the lines L1 and L2
and that
(i) (2,1)屬於L1 and L1平行L
(ii) (2,1)屬於L2 and L2垂直L
2.(20%)
differentiate the following functions
(i) h(x)=g(x)^f(x)
(ii) f(x)=2^√x^2-1 ̄
3.(20%)
optimization problems
(i) find the numbers whose sum is 20 and whose product is maximal
(ii) a rectangle has a perimeter L. What should the dimensions of the rectangle
be if the area is to be a maximum?
4.(20%)
use the l'Hopital's rule to find the following limits
(i) l i m 2^x-8/3^x-27
x→ 3
(ii) l i m (1+3/x)^x
x→∞
5.(20%)
sketch the graph of the following functions
(i) f(x)=x^4-4x^3 on [-2.5]
(ii) g(x)=2/3x^3-2x^2-6x+2 on [-2,5]
已經盡量打得好懂一點了= =
--
上帝:你到了世上要當什麼樣的人
:好人 ︿( ̄︶ ̄)︿
上帝:這輩子還沒聽過這種要求的( ′▽`)-o█
http://www.wretch.cc/blog/waltervic
批兔:must_be
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.119.206.10
推
11/20 16:48, , 1F
11/20 16:48, 1F
推
11/20 20:23, , 2F
11/20 20:23, 2F
推
11/20 20:59, , 3F
11/20 20:59, 3F
推
11/20 21:01, , 4F
11/20 21:01, 4F
→
11/20 21:18, , 5F
11/20 21:18, 5F
推
11/20 21:41, , 6F
11/20 21:41, 6F
推
11/20 21:43, , 7F
11/20 21:43, 7F
推
11/20 21:53, , 8F
11/20 21:53, 8F
推
11/20 22:13, , 9F
11/20 22:13, 9F
推
11/20 22:27, , 10F
11/20 22:27, 10F
推
11/21 19:01, , 11F
11/21 19:01, 11F
推
11/21 20:47, , 12F
11/21 20:47, 12F
→
11/21 20:49, , 13F
11/21 20:49, 13F
→
11/21 20:53, , 14F
11/21 20:53, 14F
→
11/21 20:54, , 15F
11/21 20:54, 15F
→
11/21 20:56, , 16F
11/21 20:56, 16F
※ 編輯: waltervic 來自: 140.119.206.10 (11/21 21:00)
推
11/21 21:01, , 17F
11/21 21:01, 17F
→
11/21 20:59, , 18F
11/21 20:59, 18F
推
11/21 21:25, , 19F
11/21 21:25, 19F
推
11/21 21:34, , 20F
11/21 21:34, 20F
→
11/21 21:37, , 21F
11/21 21:37, 21F
推
11/21 21:48, , 22F
11/21 21:48, 22F
推
11/21 21:51, , 23F
11/21 21:51, 23F
→
11/21 21:53, , 24F
11/21 21:53, 24F
→
11/21 22:05, , 25F
11/21 22:05, 25F
→
11/21 22:16, , 26F
11/21 22:16, 26F
→
11/21 23:55, , 27F
11/21 23:55, 27F