[理工] 微積分的題目
大家午安:
3 2
1) Analyze and sketch the graph of the function f(x)= x (x+5)
2) Let f:R→R be a function and (X_0屬於R).Suppose that a function f
is differentiable at X_0. Prove that f is continuous at X_0.
2 2
3)Let R be the annular region lying between the two circles X + Y =1
2 2 2
and X + Y =5 . Evaluate the integral ∫∫(X + 2Y)dA.
2 2 3 3√3
4)Let C be the arc of the circle X + Y = 9 from (3,0) to (── ,── ).
2 2
1)畫圖題,但漸進線的部分我求不出來?
2)這題只要證明f函數在X_0處可微分就好了吧.
3)非線性座標變換題型,我想問之前做過的題目不是四個點就是四道方程式,
所以另u.v時很ok,但這題只有兩道方程式?畫出來就是一個空心硬幣圖形,
請問要怎令u.v?
4)求圓形周長弧長,f(x,y)是隱函數,該如何令解題方程式?
抱歉,問題有點多,但不知道觀念正不正確.
還煩請版友給予指正
謝謝!
--
※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 114.37.64.84
※ 文章網址: https://www.ptt.cc/bbs/Grad-ProbAsk/M.1434959728.A.1BF.html
→
06/24 22:15, , 1F
06/24 22:15, 1F
→
06/24 22:17, , 2F
06/24 22:17, 2F
→
06/24 22:17, , 3F
06/24 22:17, 3F
→
06/24 22:18, , 4F
06/24 22:18, 4F
→
06/24 22:18, , 5F
06/24 22:18, 5F
→
06/24 22:20, , 6F
06/24 22:20, 6F
→
06/24 22:20, , 7F
06/24 22:20, 7F
→
06/25 02:26, , 8F
06/25 02:26, 8F