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.

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

這個要怎麼判斷啊？求解🥺

習題 18-21,求使得h = ge的函數和 (註:答案不只一種) 18. h(x)=(3x – 4)-3 19. h(x)=(2x - 3)32 1 20. h(x)= Vr? + 4 1 1 21. h(x)= + 2x + 1 √x + 1

請問以下兩題要怎麼寫？麻煩教教我 謝謝～ 2.求二階偏導函數 14.

2. * f(x,y)= x lny + ye’ – x?

想請問學霸們畫線的地方是什麼意思？（看得懂英文，不過他想表達的我就不懂啦~QQ)-大一入門微積分

Precise meaning of limit x->a For each € > 0 there is a 8 >0 such that 0 <|x - al<8 = \|(x) – Ll<ɛ 1.Prove that lim (3x – 7)= 5 x 4 Prove : Preliminary Analysis : Let ε be any positive number. We must produce a 8 >0 such that 0<fx - 4<= |(3x - 7)- 51 < digital do consider the inequality on the right |(3x – 7)-5/<ε = 3x - 12/<€ 3(x-4)<ɛ how blu 4< = |- - 131x - 4 <E (x-4 < 2 3 domen. szondo otworo Now we see how to choose 8, namely, 8 = Of course, any smaller 8 would work Toolmo Formal Proof : Let & > 0 be given. Choose 8 = . Then 0 < x - 4 <& implies

急！！請問這題的8/x積分要怎麼做？

3. Find the area bounded by the graphs of Y = 8 ) = 2X and Y = 2) > X=4 yo A = Si (2x-2) dx = x - xx 11 = 4-4-1+2=1 A₂ = 54 ( 13 - 2) dx - 2 dx - sx 14 A | ) Y=2 yang 1 4

請問這個的化簡過程是什麼

, 變數x的增加而漸減 (如圖4.16b)。 (x)=(x-1)=(x-2)f(x-1) - 12-5 3(24)

1.請問子集怎麼算

z 心 NPTU 國立屏東大學106學年度各師資類科教育學程甄 筆試科目:基礎數學】 選擇題(每題4分,25題,共計100分) 01. 集合{12,13,14,15} 的子集共有多少個? (A)16 (B)18 (C)20 (D)22 B 02.999x189的值為 (A)三位數 (B)六位數 (D)九位數 (C)七位數 力 03.22×3×42與24x35x47之正公因數的各數有 (A)45 (B)46 (D)48 (I)A7

求詳解 感謝～

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