想問這題要怎麼解 只有想到要用左右極限相等

15. Let x cot kx if x < 0 = (2.0) if x ≥ 0 EURCHSHA Find the value of c that will make f continuous at x = 0. FIGURS Glaidw |[ 2.0] to unioqbim srb (7) f(x) Jx L x ² + c =

這題要怎麼證明

53. Give a rigorous proof that if lim f(x) = A and lim g(x) = B, then 818 818 imorob bas tot lim [f(x) + g(x)] = A + B 818

求這題

zu dopted limit = 3 470 + fixo) nino Let f: R→ R, f(x + h) = f(x)f(h) and f(0) 0. Prove that (a) f(0) = 1 and [(b) if f'(0) exists, then f'(x) does exist for all x ER and f'(x) ƒ(x) · ƒ'(0). x² cos x sinx

求這題

1 x Let f(x) = {²sin, if x 40; if x = 0. 0. , (a) Find f'(0) if it exists. (b) Is f' continuous at x = 0? (ED C

微積分求救！

MGT Calculus Homework Assignment 3 5. Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, given an example to show why it is false. If f(x) = πª, then f'(x) = xπª-¹. False 7 [$3.1 - 77] 6. F

（大一微積分） 請問這題這樣寫正確嗎？背流程寫的😅，圖一為需用到的定義 正確的話，想問紅色圈圈的1是怎麼來的？

DEFINITION Let f be a function defined on some open interval that con- tains the number a, except possibly at a itself. Then we say that the limit of f(x) as x approaches a is L, and we write lim f(x) = L x→a if for every number &> 0 there is a corresponding number 8 >0 such that | ƒ(x) − L| < ɛ if 0 < x-a <8 then

求這題～ 答案為為 a .31cm b.866J c.1.15J

ping. What was the initial speed of the bullet? 8.43 A Ballistic Pendulum. A 12.0 g rifle bullet is fired with a speed of 380 m/s into a ballistic pendulum with mass 9.00 kg, suspended from a cord 70.0 cm long (see Example 8.8 in Section 8.3). Compute (a) the vertical height through which the pendulum rises, (b) the initial kinetic energy of the bullet, and (c) the kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the wood. 150 kg block is attached A

沒給角度要怎麼算啊?

Force R is the resultant of two forces P and Q. If the magnitudes of R and Q are 15 N and 7.32 N, respectively, determine (a) the magnitude of P; (9.93 N or 17.25 N) (b) the projection of R onto the direction of P. (13.6 N) B P 0 a R

請問c怎麼寫？

e 2. Simplify each expression. Write your answer without negative exponents. (a) √200 √32 = 10√2 - 4√₂ = 6,W² (b) (3a³b³) (4ab²)² = 48 (a³ b') (ab ²)² = 48 9²³ 6² 95 2632 216 2443 L (c) ( 3x³/2y X² ,-1/2 -8 943 -1 3 (XXX)" (X^X^)" (²/²)^ x4 y

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.