[微積] 幾題考古題請教
※ [本文轉錄自 Math 看板]
作者: demon123 (捨得的智慧) 看板: Math
標題: [微積] 幾題考古題請教
時間: Wed Mar 10 22:34:56 2010
1.Find all the local maximal local minima and saddle points of the function
這一題我算出來maximal是81/16 minima是0 但是我不知道saddle points怎麼求....
2.Find the average difference between f(x)=x^2 and g(x)=sin^2 x in the
interval [-pi/4, pi/4]
這題是先算f(x)和g(x)在區間[-pi/4, pi/4]的積分 分別是 pi^3/96 , (pi/4 - 1/2)
然後再 [pi^3/96 -(pi/4 - 1/2)]/pi/4-(-pi/4)=pi^2/48 + 1/2 + 1/pi
看到這個答案我覺得好像算錯了@@ 可以請問這題怎麼解嗎?
0 if x is rational
3.The function f(x) is defined as f(x)={
x^2 if x is irrational
Determine the values or ranges of x where f(x) is continuous
4.Find the integral of f(x,y)=exp(x^2/4 + y^2/9) over the region bounded by
the x axis and the curve y=3√1-x^2/4
這題我想應該是要用變數變換 可是我代不出來....
以上幾題麻煩大家了 謝謝!!
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