我不確定這樣寫對不對 如果是 對的，再來還需要加e嗎？ 錯的，那該如何解呢？

O C O O √ 4₁ y' sin ₂πx = πy cosan X y' = π y Cotex x 1 → Cot 2πx dx = xy dy ln | Sin₂Tux| = = y² + C

如何計算出定義域跟值域

f(x,y) = ye ln (x-4)

31&35都是不存在 不存在要如何判斷

adrant adrant Evaluate the following improper integrals: x dx 28. dx 广 1 29. = -2 (x² – 4) 3x vertical 2 X 30. dx 31. 1.0 • dx (9 - x2) ? x - 1 x² dx 32. si 33. (x – 8) 3 dx (x - 3)2/5 - | r 5 X 1 34. dx 35. dx (x² – 4)² -3 (x + 2)4

問3-2如何解答 感謝

M (O)五位學生所穿運動鞋的號碼:39,42,3 (M)五隻老鼠跑完迷津的秒數:73,90,82, (M)五位學生的身高:169,152,163,158, 五位教師的月收入: 35000,32000,400 3-2 試證:DX-NX,和2(X-X)=0。 3-3 求4和9的幾何平均數。想像 4和9是長 何平均數代表什麼呢? 3-4 求習題 2-2 英文成績歸類時的中位數。 (Me

想請問這題應該如何計算🙇🙇🙇

某兩艘船正互相接近中,其中一艘往西,一艘往東。分別航行於兩條 互相平行且相距8海浬的航道;如果這兩艘船的速率都是每小時20海浬, 當它們相距10海浬的瞬間,它們之間的距離減少的速率為何? df 二 de = 20

請問如何算出極限，謝謝。

lim >64 25-3班 7764

如何求函數的定義域與值域

想請問這題如何解（統計學，計量經濟學）

已 - 1 - - - 2. 令 y = 2. KWW-3.educ,則T =? var(x)=? 進行假設檢定IH-、=30,檢定統計量to=? - - X Simple Statistics: mean IQ KWW 101. 28235 35. 74439 educ 13. 46845 n=935 expert 11.563648 I .........18.1.17...1..16. IQ KWW educ exper IQ 226. 5819 47.5476 17. 0517 -14.8103 Covariance Matrix KWW educ expert 47.5476 17.0517 -14.81034 58. 3511 6.5128 0.5832 6. 5128 4. 8253 -4. 3778 - 0.5832 -4. 3778 19. 1370

離散數學 請問這題如何解? 感謝大大

4. 使用逆否證明來證明: 對於所有的ER,如果是無理數,則是無理數

想請問26題如何做，謝謝

- Ym)-1 YmYm-1...7271. = -1 = 20. Show that (1 2) is not a produ 21. (a) If 7. 12....m are transpositions, show that ( (b) Show that o and 0-1 have the same parity for all o in Sn. (c) Show that o and Tot-1 have the same parity for all o and T in Sn: 33. Show that Antun Sn = A, for all n 2 3 (regard Sm C Sn+1 in the usual way). 23. Leto € Sm, o te. If n 23, show that y € Sn exists such that or + yo. (Hint: If ok=1 with k #1, choose m€ {k,1; and take y = (k m).] 24. If o E Sn, show that o2 = e if and only if o is a product of disjoint transpositions. 25. If n23, show that every even permutation in Sn is a product of 3-cycles. 26. Let y be any cycle of length r. If o e Sn, show that oyo-1 is also a cycle of length r. More precisely, if y = (kı k2 okr). kr) show that oyo-1 = (oki ok2 27. (a) Show that (kı kz ... kr) = (ki kr) (kı kr-1)... (kı k2). k2 = (- (b) Show that each o ESn is a product of the transpositions (1 2), (1 3),...,(1 n). (Hint: Each transposition is such a product by (a) and Exercise 26.] (c) Repeat (b) for the transpositions (1 2), (2 3),..., (n-1 n). (Hint: Use (a) and Exercise 26.) (d) If o= (1 2 3 n), show that each element of Sn is a product of the permutations (1 2), o, and 0-1. (Hint: Use (b) and Exercise 26.] 28. Let o = (1 2 3 ... n) be a cycle of length n > 2. (a) If n = 2k, find the factorization of o2 into disjoint cycles. 9 =