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

這題怎麼算，求求大神，

2. B = A=[²2 3. 324 02 423 4 2-1-1 -13 LI ] 01 (964) 10 07 03 (961351 LILO 10

急需❗️想問一到三題🥲

CH 7 Exercise (B) .. 12 Ex 1. A company borrowed $100 from a bank on 12/1, annual interest rate is 12%. The company need to repay the loan within a year. Please do the entry on 12/1 and accrued interest expense on 12/31 for the company Ex2. A company borrowed $1,000 form a bank. It is a long-term loan of five years from 1/1/2001 to 12/31/2005, which needs to be converted to a current liability at the end of 2004. Please do the reclassification entry on 12/31/2004. Ex3. A subscriber (customers) ordered a magazine and paid in advance for subscription. The subscriber paid 120 for one year on 7/1/2023. Please do the entries for the publisher on 7/1/2023 and 12/31/2023. Ex4. An applicant buy an accident insurance with coverage period of a year and paid $24C on 8/1/2020. Please do the entries for the insurance company on 8/1/2020 and 12/31/2020. Ex5. real estate tax bills $1,100 for 2022 are not issued until April of the following year an are payable in May. Thus, do an entry for accrued property tax on 12/31/2022 and 5/31/2023.

想問這兩題如何解~謝謝

r Algebra (...* Juny > N Problem 2 35 points B Please find by the back substitution method if Bx = (6,0, 9, 10) and 2 0 -1 2 2 0 3 Problem 3 A = 0 P 2 0 1 2 1 04 -1 2 16 -2 4 iH -1 -1 2 -1 30 points Find basis vectors of C(AT) and N(A) if 3 2 3 1 5 -1 2 with the help of results obrained in Problem 1.

請問這題積分可以用ln 解嗎 但答案好像會不一樣（正確是拍/2）～～謝謝🙏

X e tex dx Item fe Definition of improper integrals EXAMPLE 4 Infinite Upper Evaluate ∞ ex 1 + e²x ell dx. 25.8 14 Solution Note that the integrand is

為什麼這裡的log1/2是常數🙏

(3) (1²) f(x) = dog log ₂ √x²+1, $i $ (ll) f(x) = log dn ³√x²+1, #²f'(1) (Z) Kell (1² f(x) = log log ₂ √x²1 => f(x) = log (log₂ (x²+1)* ) => + (x) = log ( = · log₂ (x^²+1 ) ) (log ab- loga + log b) = „b => f(x) = (log + + log (log (x+1)) 常式 => f'(x) = 0 + 1 log₂ (x²+1) · In 10 ) (x²+1 · 1/2) (2X) 37 1 r f'(1) = (In 10 ) · log ₂ (In 10). log₂_2 7-dn 2 1 f'(1) - (~10) (In²) ( + Inzo 2) 4 .

微積分 我想問第（3）題

1. 下列各題:求f(x)在 I 上的所有奇異點,並決定f(x)遞增、遞減的範圍。最後, 作f(x) 值的走勢圖,指出產生相對極值以及絕對極值的地方。 (1) f(x)=x²-3x+6, I = [-2, 2] (2) f(x)=x²-6x²+9x-6,I= [0, 5] (3) f(x)=x²e-*,I=R (4) f(x)=-x°+9x²-15x+10,I= [0, 6]

求特徵向量的計算過程

「1 [1 2 3] 7 試求矩陣 A= 0 4 5 的秩、特徵值以及特徵向量。 006

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

想請問2,3(a),4,5(b)的詳解 謝謝🙏

2. (12%) Find ∞ [-1,1] (a) Ui=1 -120 №b) n (1-1) (6) = 1 11. [1]) = [1-1,1] (c) i=1 $(dina (i,∞) i=1