求這三題的過程 謝謝！

L000 In exercises 37-39, determine values of a and b that make the given function continuous. zeros at f(x) #C Some nu Theorer 2 sin x if x < 0 unction continu- X nction should be 37. f(x)= a if x=0 bcosx if x>0 52. For fo Does t

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on (-00,00)? f(x) = Scx² + 2x_ if x < 2 x³ – cx if x = 2 40. Find the values of a and b that make ƒ continuous everywhere. X 4 if x < 2 x-2 f(x) = ax² − bx + 3_if 2 ≤ x < 3 2x − a + b ______ if x = 3 |

求救第55題 完全看不懂他要我幹嘛

Year slenue Req) = 1932 1958 +1000 q R 9)=-1000q =74 1963 1968 COM If the price in dollars of a stereo system is given by 1000 p(q) + 1000, 1000 ² q where q represents the demand for the product, find the mar- ginal revenue when the demand is 10. 54. Profit Suppose that for the situation in Exercise 53 the cost in dollars of producing a stereo systems is given by C(q) = 0.2q2 + 69 + 50. Find the marginal profit when the demand is 10. 59. Marginal Product of Labor The output y of a manufacturing y process is a function of the size of the labor force n using the function 1990 +1000 1971 1974 = 990 197 197 19 19 1 y = kVn. The marginal product of labor, defined as dy/dn, measures the rate that output increases with the size of the labor force, and is a measure of labor productivity. (a) Show that (c) Using the a cubic f respond the rate and 200 (d) Discus descri part ( the y (e) Exp data calc ful x C(x) = 58. Money 1955-7 dy k dn an (b) How can you tell from your answer to part (a) that as the size of the labor force increases, the marginal product of labor gets smaller? This is a phenomenon known as the law of diminishing returns, discussed more in the next chapter. 56. Profit An analyst has found that a company's costs and rev- enues in dollars for a product are given by x2 C and R(x) 2x 2 5000' respectively, where x is the number of items produced. (a) Find the marginal cost function. (b) Find the marginal revenue function. (c) Using the fact that profit is the difference between revenue and costs, find the marginal profit function. (d) What value of x makes the marginal profit equal O? (e) Find the profit when the marginal profit is 0. (As we shall see in the next chapter, this process is used to find marimum profit.) A wher in bi find year (a) (C) (e) nad since

請問第28行的by是“被”的意思嗎？ 謝謝

20 Um the chemicals used to manufacture and dye'? clothing. This regular +影 ini > th 25 Tuled rooms, filled with toxic' fumes 於庆白,什麼過不去。 大冰作的 and lengthy exposure is believed to make employees far more vulnerable full of 同时充滿 to serious health problems, and even terminal illnesses. + AC,比幹、更hig院 院所 Humans, however, undoubtedly aren't the only ones suffering 可可/中/民, It = humans because of “fast fashion.” The Clothing industry has long been one of 疑地 术 圣 the most polluting industries in the world, responsible for almost 10% 射-自由之一 產業 of all global carbon emissions. Moreover, as the demand for fast fashion 8 ases, the com increases, the environmental pollution caused by clothing manufacturers 排。 增加 環境的污染色內 is predicted to rise by more than 60% over the next ten years. But the 十、 被 烈酒 *一段時農 damage doesn't end once the clothing has been made. Another factor is 境。 十二日,N/Vers 5 TV 30 that, in order to keep up with fashion trends, consumers nowadays are to 將 志法治 in) FEET +V +/ 了成不良重工 為了 purchasing new items more frequently than ever before, and discarding so as to the = 項目 比另類繁 功 1 fashion ['fæſən] n. [ Uldienotot [] [時尚 5. Stylish [ stall] adj. 時髦的 6, devastating ['devəs tetıy] adj. $1 比

求解 謝謝🥺

om nortom al urn to the laughter V. 篇章結構 possible (A) and especially the Irish people (B) The shamrock is a green plant with three leaves that many people consider to be a lucky sic in his charm. (C) A patron saint is someone who makes extraordinary contributions to Christianity in certain 新試題 areas. (D) Food and drinks are often dyed an edible green color to showcase the uniqueness of this LOODUS Hof it more e and mico ping tradition. (E) However, it is thought that in fact there have been no snakes in Ireland since the last ice age. Every year around March 17th, you will see a lot of people in green outfits marching out on the street. It's the annual St. Patrick's Day! Who was St. Patrick? Why do people all wear green? And what do people do on this day? Let's find out. St. Patrick is one of the patron saints of Ireland. 1. These include churches, occupations, or even countries. There have been many patron saints in the long history of Christianity, and St. Patrick is one of them. He is honored by people around the world, 2. due to his many contributions to Ireland. TOCH According to several legends, St. Patrick freed Ireland from "snakes.” At first, people thought that logog otoplo St. Patrick got rid of a giant snake for the people in Ireland. 3. As a result, people speculate that the OS tor "snakes,” which St. Patrick banished from Ireland may, in fact, have been worshipers of “snake” gods. loin toon on St. Patrick banished these false gods for the Irish people and thus was given the title of “patron saint.” drooms As for the green outfits that people wear, the most common symbol of St. Patrick's Day is the shamrock. 4. Many choose to wear green clothes on this day and bring Irish-related items to the march, such as the flag of Ireland or Irish brands of drinks. Many restaurants and pubs offer Irish food and drinks, including Irish brown bread, beef and Guinness pie, and Irish soup. St. Patrick Day is celebrated in many parts of the world, especially by the Irish communities and organizations. Although people around the world celebrate the festival together, it is not considered a a lot of the countries. Still, people with different nationalities all share the same happiness 全新試題 nily. vite heir ave 5.Tv che ng to re holiday by of the festival. 4. nomore 5. ne 3. 1. 2. a

這大題求解

II、綜合測驗:20% There are only a handful of underwater hotels around the world. These 16. guests to do what few people ever dream of doing: sleeping underwater. Fish, of course, do this all the time, but to humans the thought of 17._one's head on the seabed isn't very appealing. That's because mammals like us 18. have sufficient air to breathe. 19. _ ever wondered, therefore, how sea mammals, like whales, manage to get their beauty sleep? A number of 20. have attempted to answer this question. They seem to suggest that whales make use of an 21. sleep technique known as “logging.” During "logging," whales are 22. to shut down just one half of their brains. This enables them to get some much-needed rest, and yet at the same time remain alert enough to regularly return to the surface of the water to breathe. 23._ another sea creature that makes use of “logging" to survive is the dolphin. _24. Whales, which can remain underwater for up to ninety minutes, dolphins need to breathe in fresh air above the surface every twenty minutes. Thus for them it's even more important to keep half their brains awake at all times. Logging helps them 25. this. At the end of the day, this is just another example of how human and animal sleep habits are different in strange yet wonderful ways- ( ) 16. (A) let (B) allow (C) make (D) have ( ) 17. (A) throwing (B) burying (C) laying (D) lying ) 18. (A) must (B) may (C) can (D) will ( ) 19. (A) Will you (B) Do you (C) Are you (D) Have you ( ) 20. (A) secrets (B) habits (C) studies (D) facts ) 21. (A) amazed (B) amazing (C) amaze (D) amazingly ( ) 22. (A) able (B) possible (C) capable (D) likely ) 23. (A) Just (B) So (C) Also (D) Yet ) 24. (A) As (D) Unlike ) 25. (A) achieving (B) achieve (C) be achieved (D) to achieving (B) TO (C) With V. 文意選填:10%(請忽略大小寫) A) in fact (B) however (C) amazing (D) standing (E) much Animals sleep in incredible ways. They don't need to lie in bed for hours like we do. Zebra phants, for example, can stay 26. while they sleep. This odd sleeping position comfortable, but it's 27. safer. Predators are always around to catch sleepy prey a phants, therefore, are only away in dreamland for around 3.5 hours a day. Zebras are reported a less. Giraffes, 28. sleep the least of any animal. An average of half an hour per day is hey need to survive in the wild. 29. they hardly ever sleep for more than five minutes af fost and for less than an hour a day?

第二大題的第（3）小題不太會，麻煩各位高手了！

C'。 1 241) PIX)-----x*b25 *P() 75*1*stel*z*dx> x***-*=> 1426x=24&st-25+-$) 二、設A(1,0)、B(0, 1)為坐標平面上兩點,為直線AB外一點。經平面線性變 換M作用後,A被映射至4 (1,02)、B被映射至B'(-1,2),而C被映射至 Claub) (1)試問變換M的矩陣為何?(4分) ( (a-t, ahol (2)試證明變換M將入ABC的重心映射至入A'B'C'的重心。(4分) (3)若AABC的面積為3,試求點C'與直線AB的距離。(4分) (( 2 ALIVYOTUBE 155) So In Lol- larta pars ) - Cambodiatib) Ty= otitb. to make bath within this MLADECAL - a din sath (2) 4x2 tota 3 【fb 3 a-b 25ct kat Jab

根本看不懂啦＼(￣▽￣;)／

Your report should follow these guidelines, although you may choose how you present it: How to Write a Mathematics Report In writing your report, remember that you are writing up a mathematical story and so, like all good stories, it will need a beginning, a middle and an end. More formally, the main components of this writing style are: Introduction, Formulating the Problem, Solving the problem, Discussion of Results, and Conclusion. We will now consider some of the detail in each of these aspects. Introduction This is the beginning of the story. Give a brief explanation of what the problem is about what the goals of the report are and what will be presented. Assume that your reader does not know what the problem is about or how to solve it. Formulating the problem Translate the situation into a maths problem. Explain how you will begin to solve the problem and break it into simpler stages. Discuss any assumptions made. What quantities are variables and which values are fixed? You may use sub-headings if they assist you. Solving the Problem Show any calculations and mathematical reasoning that you use. (Assume that your reader does not know much maths). Do not show the same types of calculations repetitively. Just give one or two examples of a calculation and then put the rest of the results in a table. Use diagrams or graphs if they assist you. Make general remarks about what you observe in your calculation results and, possibly, why. You may want to criticise your work and go on to improve it in the next section. Explain what you will do next and why. Discussion of Results - Evaluate and Verify Summarise your results if necessary and refer to your mathematical reasoning. Justify procedures used. Interpret your results. First, are they reasonable or does something not look right and need further investigation or checking? Is there a decision to be made? Here is where you should present the decision-making process. Evaluate the strengths and limitations of your solutions. Conclusion Summarise your findings. Refer to the problem outlined in the introduction. Make sure that you answer the question that was asked. Make recommendations. No new material should be presented here.

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第二題的分子為何？（鍵頭那

茶疾病可分為兩種類型 : 第一類占 70 人,可藉由藥物4 治療,其每 玫人70 %,且每一次療程的 金無效。在不知道患者所還此: 汪次療程的成功 5互相獨立 ; 其餘為第三類,藥物4治 方式完 的類型 , 且用藥物4 第一次療程失敗的情況下 飛的情況下 ,師 得第二次六程成功的條人人有明接近下列嘟一個選項 鋼0.25 佃03 @035 04 過0.45 大學出 ) 了 一份誠條共有 10計單選晤,每是有5個選項, 其中只有一個選項下確答案 假設小 明以財屁鋪答的方式回答此試卷,且各量答方表 謊人還四明人部答對的 機率最接近下列哪一選項? 多10 負107 @@ 107 人0103 包10。 順學 選顯 )務 2 。、c.5 計生 點 讓器位女年信照4 ,2,C)2 的過出引來決定格和哪億還全才 /他們約定 認得甲的機車鑰懼,並且絕對不會選取之外, MAKEHBIMEMW 天1了 5 請選出正確的選項。 才的等。 銜4 抽到四的鑰匙的機麻大於 C抽到甲的給是的機 器C抽到皿的給是的機率太於 2 抽到甲的鑰且說Ph halZd9fE9人falz8 佃