[考古] 93成大
ｘ^2 ｙ^2
1.(8)設路徑r為自點(a,0)沿橢圓----+----＝1之上半至點(-a,0)，內a,b皆為正數。則線
ａ^2 ｂ^2
積分∫(xdy-ydx)=?
π π
2.設f:(-－,－)→R:f(x)=secx，A與B為直線y=b，(b>1)與曲線y=f(x)之二交點，F(b)
２ ２
為上述直線與曲線所圍區域之面積: 次設Ｇ(b)為△ABC之面積，其中之點Ｃ之座標為
F(b)
(0,1)。試求 lim -------＝？
+ G(b)
b→1
2
3.設集合Ｓ為由曲線ｙ=|x-1|與2y=ｘ -2x+2所圍之區域
(b)試求函數f(x,y)=y在集合Ｓ上之二重積分。
2 4 2
4.設f:R →R:f(x,y)=ｘ +kｙ -ｘ，其中k為常數
(a)試問哪些常數k使得f無極值(extremum)？
(b)若k使f有極值，試問ｆ於何處有相對極大值？於何處有相對極小值？
以上煩請版上的強者大大們幫忙解惑一下
謝謝!
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 124.8.169.245
→
07/11 01:02, , 1F
07/11 01:02, 1F
→
07/11 01:04, , 2F
07/11 01:04, 2F
→
07/11 01:07, , 3F
07/11 01:07, 3F
→
07/11 01:11, , 4F
07/11 01:11, 4F
→
07/11 01:23, , 5F
07/11 01:23, 5F
→
07/11 01:26, , 6F
07/11 01:26, 6F
→
07/11 01:27, , 7F
07/11 01:27, 7F
→
07/11 01:32, , 8F
07/11 01:32, 8F
→
07/11 01:33, , 9F
07/11 01:33, 9F
→
07/11 01:33, , 10F
07/11 01:33, 10F
→
07/11 01:35, , 11F
07/11 01:35, 11F
→
07/11 01:35, , 12F
07/11 01:35, 12F
→
07/11 01:39, , 13F
07/11 01:39, 13F
→
07/11 01:40, , 14F
07/11 01:40, 14F
→
07/11 01:51, , 15F
07/11 01:51, 15F
→
07/11 01:52, , 16F
07/11 01:52, 16F
→
07/11 01:55, , 17F
07/11 01:55, 17F
→
07/11 01:56, , 18F
07/11 01:56, 18F
→
07/11 02:27, , 19F
07/11 02:27, 19F
→
04/22 17:58,
6年前
, 20F
04/22 17:58, 20F
討論串 (同標題文章)