3.9求解

- - = - - - - - 請以分解降階法求1~4題之特解 1. y" – 5 y' +6y = e4x 2. y" – 5y' +6y = e2x 13. y" - 2 y' + y = x – 2 4. y" + 2y' + 5y = e 2x 請以分解降階法求 5~7 題之確解。 5 y" – 4y' = e* 6. y" + 7y' +12y = e-3x 7. (D+1)(D-2)(D+3)y = el 請以待定係數法求8~12 題之特解。 18. y" - 5y' +6y=es 9. (D+1)(D-2) y = net 10. y" - 2 y' + y = x - 2 1. y" - 5y' +6y=cos 3x + 4x 3x xe

a和b帶進去的答案分別是0、1 有沒有大大可以幫幫我過程😭😭

05 (a) lim f(x) (b) lim f(x) r->0- x + 1 1 1 + 21/4 14. 13. f(x) =

第(d)&(e)小題 這兩題算完還是好不確定 我有漏掉什麼東西嗎( ･ᴗ･̥̥̥ )

dx2 (d) (3%)假設? + Cy-z=1,求體在(x,y)=(1,1)之值。 (e) (3%) + f(x) = xVx2 +3 1 g(x) Á f(x) 6% e košt ## g'(-2) I - 0

請問a、b怎麼做 謝謝

(a) If g is a twice differentiable function and f(x) = xg(x?), find f" in terms of g, g', and g". () = If F(x) = f(xf(xf(x))), where f(1) = 2, f (2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) = 6, find F'(1).

請問第53題的反函數為什麼長得一樣？

x - 1) 43. f(x) = x + 12 44. f(x) = x - 3 + + 2) + 4) f(0) = 3 (X-0 (。 c+2) = = = ses 29–34, nd simplify = = Finding an Inverse Function In Exercises 45-56, find the inverse function of f. See Example 7. 45. f(x) = 2x – 3 46. f(x) = 5 – 4x 47. f(x) = 2x + 1 48. f(x) = -6x – 4 49. f(x) = xs 50. f(x) = x3 日 1 2 2 51. f(x) X 52. f(x) = – 0 < < 54. f(x) = x2 – 4, x 2 2 55. f(x) = x2/3, x 20 56. f(x) = x3/5 1 f(x f(x)= = X X - +3 (x) 53. f(x) = 9 – x?, Osxs 3 f"W-14-X?, OSXE3 () = - = - X = - = Determining Whether a Function Is One-to-One In Exercises 57-62, use a graphing utility to graph the function. Then use the Horizontal Line Test to determine whether the function is one-to-one. If it is, find its inve

拜託幫忙需要過程謝謝🙏

4G+ 8:45 wil 81% 4 : Screenshot_20211021-191030.png 110 學年度第1學期管理數學作業一 1.考慮一家五星級飯店客房部的人力安排問題。根據過去資料分析,該部門每天員工的 人力需求如下表所示。這些員工並不需要特殊的專業技能,所以每天上班員工數只要 滿足所需的人力需求即可。為符合該飯店及勞基法的規定,每位員工每週連續上班五 天,然後休假兩天。該飯店客房部需決定至少僱用多少位員工,才能滿足每天的人力 需求,試建構此問題之線性規劃模式?(20%) 星期 三 六 人力需求 13 20 五一 日| 8 14 10 11 16 18 2.請分別以(1)高斯-焦丹法(2)克拉瑪法則(Cramer's rule)解下列方程組。(30%)

不好意思想問題目是什麼意思，如果是畫圖找切線為什麼會給兩個x值，想知道第一題怎麼寫，附答案

Exercises 2.7 Answers to selected odd-numbered problems begin on pa Fundamentals In Problems 1-6, sketch the graph of the function and the tan- gent line at the given point. Find the slope of the secant line through the points that correspond to the indicated values of x. 1. f(x) = -x2 + 9, (2, 5); x = 2, x = 2.5 ( 2,5= =

求解28題 感恩🙇

36. Sup ang 22-25 Explain, using Theorems 4, 5. 7. and 9. why the function is continuous at every number in its domain. State the domain. 2.x2 - x - 1 2 22. F(x) 23. 20) = r2 + 1 By Le (a) (b 24. h(x) = cos(1 – x?) 25. M = N DI 38. W tir 26-29 Use continuity to evaluate the limit. 26. lim x 20 – x2 27. lim sin(x + sin x) ULTET (28) lim x'tan r 11/4 29. lim x®/Vx2 + x - 2 IX 30. Show that f is continuous on (-00, ). 39. S f(x) = x2 if x < 1 x-1 if x>1 31-32 Find the numbers at which f is discontinuous. At which of these numbers is f continuous from the whı sont o LINE TERANG 1633 是

求解：9、17、27,謝謝~

Ad-numbered problems begin on page ANS-8. limbinht lim or state that it does not tolista O 1 . 7. lim 8. li 10 t sect csc 4t to 2 sint lim -4.1=4, 10. 170 t cost 31 sin26t 11. lim lim .36 12. t->0 t2 to 36t² sin(-41) sintt t 1 + sinx m +01 + COS X -36 # sin(x - 1) 13. lim x=1 2x - 2 14. tang n = 0 3x is sin(x-1) 2(x-1) - IN 们

微積分🙏🙏

微積分 1-2 練習題。 (1)<(0.99)"> 1. 判斷下列各数列是否收敛,若為收斂求其在限。 (2)<(-1.01)"> (3)<(-0.99)"> 1 2. 求下列各数列的在展: 2 (2 + X3 - (1) (2)<5x( "> (3)<< 3. 試求下列各極限值:+ 3n-5 3n-5 (1) lim 2n + 3n-5 non r+1 Hon+1 (3) lim n+1 1+2+3+...+n 2" + 3" +51 2" +3" (5) lim (6) lim 3" - 5 737 3" - 5" ( (2) lim 1- (4) lim → n H 1 1-- 4. 設三個無窮數列< 1 14 12">、<cn>< 2>满足's Son 14 im Com ,求m Ou