請問這題求dy/dx的時候，為什麼不能用隱含數微分法來微？

例1 Find the area of the surface generated by revolving the curve 6xy=x+3 from | |x=1 to x=3 about the x-axis. 【100 成大】 x++3x² 解:6.xy = x + 3 > y= dv 1 1+(2)2 =₁/1+ 1+-x dx 4 所求表面積為 = 1 + 6x 6 2x 1 + 24x² 1 1 2 dy 1 -- dx 2 1 +--- 2x² x+ = 1 2x² 1 ·x² +· 2 2x²

請問第29題怎麼算

In Exercises 21 through 36, solve the given equation for x. 21. 4* = 53 POS 22. log₂ x = 4 2 23. log3(2x - 1) = 2 24. 32x-1= 17 minsgol gai 25. 2 e = e0.06x 27. 3 = 2 + 5e 29. ln x = t 50 - 4x + C 1 2 Lo = Qoe 0 28. -2 ln x = b 26. 30. 5 = 3 ln x - - 1.2x 1 - ln x 2

求解🥹

5.4 設臺大男生參加各種運動的比例如下: 92 。 羽球 桌球 網球 羽球及桌球 羽球網球 桌球及網球 三者皆有 30%20%20% 5% 10% 5% 2% 0.02 0.05 0.3 0.2 今隨意抽取一名男生,請計算以下機率: ①至少參加一種運動。 ②僅爲羽球員。 DL ③若將至少參加一種運動的稱爲運動員,則該名男生,已知其爲運動員, 而他僅參加羽球的機率爲何? @該名男生已知其爲桌球員,而他三項都參加的機率爲何?

離散數學 第一章 請問第19題怎麼算 第二張是答案可以參考

19. How many times is the print statement executed for the following program segment? (Here, i, j, k, and m are integer variables.) ni diaq orta ) for i:=1 to 20 do as U = for j := 1 to i do for k := 1 to j do for m:= 1 to k do groll print (i* j) + (k * m)

請問第13題的b怎麼算 離散數學第一章 第二張是答案可以參考～

b) X, 2-3, 3i 35 ; 1< 13. In how many ways can we distribute eight identical white balls into four distinct containers so that (a) no container is left empty? (b) the fourth container has an odd number of balls in it? nansion of

請問第33，37怎麼解，希望有算式🙏🏻

X x+ x- 2+ 2010 1 + x leter- 31. lim (2x + V2 + x) 32. lim x(1 + V5 +1] WOO 1 + x 33. lim 34. lim x1 1 - x silinmis V.x=1* 1 - x x² - 4 4 35. lim 36. lim x+2- x - 2 *+-3+ x + 1 37. lim f(x) and lim f(x), where HI, Vx + 3 - - 1--3/ +1 x+0+ x →0 - S 2x if x < 0 f(x) = x² 38. lim f(x) and lim f(x), where if x 20 mm xO+ x →0- f(x) = S-x + 1 if x = 0 ( 2x + 3 if r > 0

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.

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

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

請問題目一的解和題目二的思路與詳解🥺 遇到題目二這種題型是要直接代入1去算，還是用X趨近於1+和1-去想呢？

全攻 (00 =V4+37(00,where 了(0D=7 and 了(0D=4,find 及0.