請問一下,這題我們老師是不是寫錯了？因為跟我算的不太一樣🥹

1765.5678 x 1010101010000012 (7252.253) -(-765.567)8x (-1252.253) = [(012,211) 8 - (100.000)] x [ (652 5.5251-100.00%) = (1221) * (65625,525) - (122110) - (6525525) (10000.000) -(67237.252175)8 (6687683)

想問這題怎麼算

28. A trough is 6 m long and its ends have the shape of isos- celes triangles that are 1 m across at the top and have a height of 50 cm. If the trough is being filled with water at a rate of 1.2 m³/min, how fast is the water level rising when the water is 30 centimeters deep? goal: dh dt

想問這題要怎麼算🙇‍♀️

37. Consider a sample with a mean of 30 and a standard deviation of 5. Use Chebyshev's theorem to determine the percentage of the data within each of the ranges which follow. LO 5 a. 20 to 40 b. 15 to 45 c. 22 to 38 d. 18 to 42 e. 12 to 48

請問這個怎麼證明🙏🏻 謝謝

1.試證: lin 000 sino D = 2. { [sin(x)] = cos(x) : Hirt & Aist

想請問這兩題微積分怎麼解🙏🙏

113年度作業一 隱函數 1. Find the tangent line of the curve (Implicit Differentiation) sin(xy2) + x²+x+1 = 2y2 at y" (2,-1.99883) 2. Given f(x) = = d (Hint: In(u) = dx x² (1-x)³ sec-1(1+x) 1 du u dx , d dx , find f" (2). sec-1 (u) 1 du = |u|√u²-1 dx , |u|> 1 )

想問一下第八題跟第十二題我的答案是對的嗎？謝謝🫶

Ex 求1~14題的極限 -3 x-2 1. lim →2+ 4. lim -4 8-9=6 x31x-31 x-3 √x²-9 2. lim r-5x+6 x2-x²-3x+2 x²-9 = 古 5. lim 3x-3 x+10 7. lim 3+ lim →-10+ (x+10)² X 10. lim x x²+\x\ 提示: [x]= x, x≥0\ lim K |x-3| 11. lim = x-3- x-3 lin ** X-733 =4 12. lim |x³-x| x²+2x -(4-37 3. lim x→0+ 6. lim X √x+1-1 √x-3 x→9- x-9 9. lim -X, 若 x<01 X-70 ²+20 14 8-3. 2x²+5x=12 (2x-7)(x+4) 1114+ x²+3x-4)=(74) (71) =(x-3) (x-1) lim x xxx lim. =1 x75 (x-1) x(x-1) -[提示: 1x²-x1=1x(x²-1)|=|x||x²-1|] [[x+1]]+|x| 1x116-171 lin 120-1 x X(x+2) 22-2 1. 不存在 X-70 4 13. lim x→0- 14. lim x1+ X x→0 2 3-x,若 x<2 15. 設 f(x) = { x 一+1,若x>2 ,作f的圖形,並求limf(x) →2 M (11) --5-5 44 1=1 477-212 Ex(x²-=-1)=1 x(x+2) = ✓ 2 0+ (x²-1)=1 *1x+2) = 2 冷 2

不知道怎麼畫 教教我吧 謝謝🙏

8. Sketch the graph of a function y = f(x) that satisfies the following con- ver: ditions: f(0) = 0, lim f(x) = 0, lim f(x) = lim f(x) = ∞ xx x-1- x-1+ lim f(x) = lim f(x) = =-〇〇 x-1+ x-1-

我直接微分可以算出正確答案b，但如果把等號左右一起除x後再微分就算不出來了🥲。 是不能這樣除嗎…（我覺得是可以的吧）還是我哪裡算錯了… btw第一張照片是題目跟解答 第二張是我用同除x的算法！

CHNOLOGY 正確答案: Find dx for xe' + 1 = xy. (a) 0 y - e³ (b) xey -x (c) — x (d) xey 1 (e) None of these O OOO a. b. C. d. e. 你答對了!

請問怎麼由中間那個數字（3210.0123）4 變為左右兩邊的（？）8 、（？）2？真的可以算的出來嗎？

(344.0657 )8-> (3210.0123) 4 (11100100.> 2 84228 828...4 3...4 0-10546872 8 084574976 X 3x442x4+1x4+0x4 =192+32+4=228 e 26228 2/114 0x4+1x4+2x4+3×4-4 3 7 16+ +256 8 674999808 2(57 2128.... 27 " 2560-10546872

感覺這題要用反函數

Finding Values In Exercises 28-30, find f-1(a) for the function f and real number a. Function 30. f(x) = x³ - Real Number 4 x > 0 a = 6 X