第6題求解，謝謝

6. (12%) (a) Find the equation of the line which is parallel to the tangent line to the graph of 2 x y ==+ at the point (2,2) and passes through the point (1,-1). 2 (b) Find the equation of the line which is perpendicular to the line obtained from part (a) and passes through the point (-2,1). y+1=0(2

第23題 求過程感謝（綠筆為解答

e given 21. y = X Xo 2x + 3² xo = -1 = 22. y = - x + 7 - Xo = 0 = 2 y=-x+ 5 - 2x 23 y = (3Vx + x)(2 - x?); xo = 1 - 3.18 6x=12x74x+ton In Exercises 24 through 27, find all points on the graph of the given function where the tangent line is horizonta

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

計算給定函數的導數，並找到與指定值的圖形相切的直線的方程。第21題不會算。

= = - = - In Exercises 13 through 24, compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value x = c. 13. f(x) = 2; c = 13 x 14. f(x) = 3; c = -4 15. f(x) = 7 - 2x; c = 5 16. f(x) = 3x; c = 1 17. f(x) = x; c = 1 18. f(x) = 2 - 3x?; c = 1 -2 19. f(x) = 3 ;c = -1 20. f(x) 3 2 2XUD 21. f(x) = 2Vx; c = 4 22. f(x) 1 = 2. = - = x = pic ;

求解33題 感恩🙇

30. lim x csex 21 29. lim sec ---(4/2)+ x x 22 31. lim x==2 4x + 4 32. lim X-2+ x x² - 2x - 8 x² - 5x + 6 8 33. Find the vertical asymptotes of the function x? + 1 3x - 2.x2 1 ||||| 1 34. Determine lim and lim X-TX r- (a) by evaluating f(x) = 1/(x - 1) for values of x that ap- proach 1 from the left and from the right, (b) by reasoning as in Example 8. 35. (a) Evaluate the function f(x) = x2 - (24/1000) for x = 1.

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

第二、三題求解，希望有過程拜託🙏

- Reader Touch. 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, 需求,試建構此問題之線性規劃模式?(20%) 三 四 五 日 星期 人力需求 14 10 11 13 16 20 18 2. 請分別以(1)高斯-焦丹法(2)克拉瑪法則(Cramer's rule)求解下列方程組。(30%) x1 + x2 + 2x3 = 8 -X1 - 2x2 + 3x3 = 1 3x1 - 7x2 + 4x3 = 10 3.利用M=[A]求出Al。(20%) 11 A= -2 11 11 1」 「1 + 2] ro 這裡輸入文字來搜尋 員 27°C A 6) 英

求過程，答案⅕

² - 2t + 1 29. lim 17183 + – 2

請問能教教我這兩題要怎麼寫嗎。 想了好久，給個方向就好了(ಥ_ಥ) 第一題是發散，第二題是收斂， 請問都寫得出一般式來表示嗎？ (抱歉真的沒有數學腦

(1)給定偶爾脫線數列 1, 0.5, 0.3, 0.1, 1, 0.05, 0.03, 0.01, 1, 0.005, ... 請利用E-M方法說明此數列是否收斂到0? (11)給定偶爾脫線數列 1, 0.5, 0.3, 0.1, 1/2, 0.05, 0.03, 0.01, 1/3, 0.005, ... 請利用E-M方法說明此數列是否否收斂到0?

請問e？的極限值要怎麼算😢謝謝🙏

27. lim 1 - et 1 + 2e*