推 j6cl3: 推 好像有點難@@ 07/20 00:44
推 dsamylife: 摟主真強者 07/20 00:52
推 wrytus: 樓主超強提早寫完還有時間慢慢來背題目 07/20 12:51
※ 編輯: andy0130tw (180.218.144.207), 07/24/2016 22:21:59
題號可能有錯，還請各位大大幫忙修正><
1. Write down the definition of The Fundemental Theorem of Calculus.
sin x^4
2. (a) lim --------- = ?
x→∞ sin^4 x
cot x
(b) lim (1+x) = ?
x→0+
-1
3. (a) ∫sin (2x) dx = ?
x^2 + 3x + 2
(b) ∫-------------- dx = ?
3x (x^2 + 2)
(3n)! x^n
4. Find the interval of convergence of Σ -----------.
x→∞ n^(3n)
5. Solve the initial value problem dy/dx = sqrt(4-y^2), y(π/3) = 1.
2 2
6. Find and classify the critial points of f(x,y) = x + ?? + xy + ??.
(忘記方程式了)
2 2 2 2
7. Find the points on the intersection of 3x + y = 2 and x + 2y + z = 3
that are closet and furthest from the origin.
(不確定方程式)
2x - y
8. ∫∫ sin (--------) dA, where R is enclosed by 1 ≦ 2x + y ≦ 2,
R 2x + y
2x - y = 0 and 2x + 5y = 0.
2 √x 2 3
9. f(x) - x = ∫ f(t )t dt. Find f(x).
1
--
※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 180.218.144.207
※ 文章網址: https://www.ptt.cc/bbs/DoubleMajor/M.1468946497.A.FC9.html