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.

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

請問這題要怎麼算～

1 89. Let f be a function such that f'(x): If 1 + x² 0₁5 2 LIFE AND Qurbliet 1 + x² dig(x) = f(2x + 1), what is g'(x)?sup inslissxs) =

想問第4題畫線處 分母(tan²x)-1 =(sin²x/cos²x)-1 =(sin²x-cos²x)/cos²x 為什麼把1/cos²x移到分子以後 分母不是sin²x-cos²x ? 感謝！

x² Example 4 Find lim x 0 sec X 1 SOLUTION The evaluation of this limit requires a little imagination. Since both the numerator and denominator tend to zero as x tends to zero, it is not clear what happens to the fraction. However, we can rewrite the fraction in a more amenable form by multiplying both numerator and denominator by sec x + 1. x2 x² sec x 1 lim x-0 secx 1 - = = x2 sec x 1 - x² (secx + 1) sec² x 1 lim (sin x-0 sin x sec x + 1 sec x + 1) - = Since each of these factors has a limit as x tends to 0, the fraction we began with has a limit: = x² (secx + 1) tan² x - 1 x² cos²x(secx + 1) sin² X 2 (*) ² (cos²x)(secx + 1). 2 ·lim cos²x lim (secx + 1) = (1)(1)(2) = 2. x→0 x ●

想請問這題要怎麼解🙏

8. a. The graph in the accompanying figure is made of line segments joined end to end. At which points of the interval [-4, 6] is f' not defined? Give reasons for your answer. b. Graph the derivative of f. The graph should show a step function. (-4,0) (0, 2) 1 (1, -2) y = f(x) (4,-2) (6. 2) 6 [§3.2-31]

這個(c)的 inverse reciprocal trigonometric functions 是指什麼？(hahaha)

In a similar manner, one can define the 'arccosine' and 'arctangent' functions by 'restricting the domains'. The following table summarizes the domains and ranges of these inverse functions. Function Domain Range Function f(x) = sin¯¹(x)| (-1,1)|(−½, 3) || f(x) = sec¯¹(x) f(x) = cos ¹(x) [−1,1] f(x) = tan-¹(x) [0, π] Domain Range R (-)|| f(x) = cot-¹(x) x2! [-7,7- XZ1 OY f(x) = csc¯¹(x) 85-1 xs-1 but fuxito Exercise 4. (a) Sketch the graph y = tan-¹(x) (b) From (a), write down lim tan-¹(r) and lim tan-¹(x). x48 8118 (c) Look up the relevant section in the textbook (Stewart), write down the domains and ranges of the 'inverse reciprocal trigonometric functions' on the right hand side of the above table.