求過程😭

2 So 9x² · √x²+1 dx = ? (ANS: 52 motor (8) 2 Fu Patie te stekent here at se (lnx + 1)² no the wond dx = of smil bbio gar ANS : 2. 21/11 boici 325 (3) 2 sidsallong (CT) 3. S₁ (ex + e-x) dx = ?us vigoud to noisette sit dotes et a pai bne robro siqoog indw sonsuttui naɔ noy van 2 Is gribaid Aoid diw amam yash tady at unom sili to vamos trigin 1sqqu ad be bu batug oil an: ANS: 2 (e-e¹) soing gaib organos soing aas! Isst doum en vd estima 4₁ #S! (2 e²x - e-x) dx = ? boog su of awode nood svad sasadu ANS: e²te - 2 bolistaba darwolori e mi las İslozorlə yənsətɔ“ „algauxs ago to saslqs goibbA m piw rubis mont od o bise oniw botaal-siani odw slqooq ,vbina sao ni benintmas ylleulsa solflod oft avewoH fadel simolils ont benelong yba to com base of blood to as asitomom hoog bunyileup slovo di ammo ass bouting motor od Irgim si dguodt nys "siq boxind-smoil a'ambre nabro Sunem & gaingueab ol dorosqqe jest de nidi yanibro

第四題求解！不知道要怎麼證明反函數 看了答案還是不懂🥹 Ans: f。g=x and g。f=x

1 4. Show that the functions f(x) = ²x-1 and g(x) = = + ln√√x are inverse functions. 2 D' 1 dy .... 1:41. 2-x .2 1..3 1 2

想問3和4題怎麼寫，謝謝🙏

3. 如圖1, 利用 Shell Method,求圖形繞y軸旋轉一周之體積。(10) Jo 2-cost. (Jnx/xt? -lost. (Zax) w²t-sate (4-9) 4 = 2V 1-(4-4)³ 4斤一包 元代 du 8-1 du= (4-y₁²3. (x) = (x+2) (4) 圖2. x² 1.4 圖1. 4.(a)求弧長:y = (x{{2)2,0≤x≤3. (b)如圖2,x=2J4-y, 0≤y≤15/4,求表面積。(20%) =x+x² 2 (+1) (1-(F'(x)] 訓 5205

請問這題的解法怎麼解呢？ 謝謝

6. 設5位助理的薪水分別是 (單位: 千元)25, 27, 30, 32,36, 平均是30, 現在隨機抽 出3人, 則其中2人的薪水大於平均30的機率是:

請問這兩題的解法，謝謝~

1.如圖,長 10 英呎的梯子靠在一直立的牆面上,如果頂端以1英呎/秒之速度沿 著牆面下滑,則當底部距離牆5英呎時,梯子與牆之夾角的舜時變化率為何? ( x² + y² = 100 0 = tan 25 + y = 5√3 ZX- 10 It 2X dt 二100 It x + y 10:0 do dt 10. V=1 mi/s y AF X 5 V= -√3 mi/s Y.x) 44x² + y. -1.x² -2 -1.√5 + $√3-1 dt 75

求解！拜託！

A06. 微分運算 2 高階導數 與 絕對值 (A) 1. 2. 若f(x)=- 若 y=(x + 1),則 y'''(1)=6 16 求 SM(4)= 3/16 VX 3. y=(15x+3x²)6 £ y(¹4)(√√17) = 0 4. 5. x-1 設 f(x)= ,求 f'(1)=1/2 與 f"(0)=-4 x+1 若f(x)=3x-2x² -150 求f'(1)=-8 6. 若f(x) =3x^ −12x²| 求 f(1)=12 與 f'(2) 不存在 7. 若 y=|x-5x| 求y™(1) =276

想詢問積分結果是如何求出？

t=v-u⇒dt = dv, •1-u Uſ" (v-u)³-¹ (1-v) ²-¹ dv = ["t¹ (1-u-t) dt −1 why? ² (1-u)²+¹-¹ B(B,y) = (1-u)²+r-1 T (B) (y) T(B+y) 9

求過程🥺

182 15Von 28W od ozusood 12V #/ f (x) = logen 1²√x² +1 1 .oge 求 +112) 2 = Lisa sre sensood ave 1 gnivisoon b agob tol bus 219grudmud y 1 Tol as t'nob odatloaned 2 ANS= 3 ⋅ In 10 In 3 lles oldanoiriast won s gniyud a o tuontib o vidimo 2oddgion 15d driw qidebnsint Instagoo 'amorfosat od 01 adnedi insbit

第三題求解或者列式！

3. 某公司目前有$8,000萬的閒置資金,三年後才會需要使用。根 據財務部門所提供的資料,現在有四個投資方案列入考慮。各投資 方案均已評估過風險,並給予0至3分的風險指標,數值越大代表 風險越高。表2顯示各投資方案每年利息的百分比及風險指標。例 如,方案2完全沒有風險(風險指標為零),每年年底可獲得投資金 額 3%的利息;方案 4的風險最高(風險指標為2),投資後僅在第

第二十五題求救 我現在只能把它微分一次

g(x) = x 1+= X if x < 0 Show that f'(x) = g(x) for all x in their domains. Can we conclude from Corollary 7 that f g is constant? 25. Use the method of Example 6 to prove the identity. 2 sin ¹x = cos (1 - 2x²), x ≥ 0 26. At 2:00 PM a car's speedometer reads 50 km/h. At 2:10 PM it reads 65 km/h. Show that at some time between 2:00 and 2:10 the acceleration is exactly 90 km/h². → hour) 27. Two runners start a race at the same time and finish in a tie. Prove that at some time during the race they have the same speed [Hint: Consider f(t) = alt). h(t) ord