幫解(a)(b)(c)(d)

1. A periodic signal x[n] is shown below. x(n] th 0 2 11 4 5 8 It's Fourier series representation is as follows: x[n] avejkuyn k=<N> (a) Determine the fundamental period N of the periodic signal x[n]. (b) Determine the fundamental frequency wo. (c) Plot the real part of ejern (denoted by Re{ejun}). (hint: eje = cose + jsin) , Refeiwn} →n (d) Plot Re{ej2wyn} • Referawang →n 3 5 2

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

請問中位數最大值要怎麼算

a= Z 「格列佛再遊記》格列佛百人流落至小人國,這次他還著自己英挺的外貌受 小人國歡迎,成為小人國的國民,已知小人國原來有99人,每位國民的身 不超過5公分,而格列佛的身高是170 公分, 4 4de present 若原來99 人的平均值為3公分,則格列佛來到後,小人國平均數是多少? 若原來99 人身高的中位數為2.5 公分且四分位距為1公分,則格列佛來 到小人國後,中位數可能的最小值為多少?最大值為多少?

請問第20、23題 如何選擇🥲 英文介係詞

20 DA (A) for (B) by When the Japanese students watched the film hints of reaction. (A) of (B) as 21. It contains many historical significant and beautiful wooden structures, fish houses, and homes. (A) except (B) besides 22. Since its opening, the Nobel Peace Center has been educating , inspiring and entertaining its visitors mer 15 (8) mi (A) exhibitions, activities, lectures, and cultural events. (A) among sono aid nito (Bregarding (C) including (D) through (101 指考) TA DB23. .. 23. The area code was created the format of XYX, with X being any number between 2-9 and Y being C21. (C) after wortom the teacher present, their faces showed only the slightest Contul or dumog stom boonow led min 1o (81) (C) from (D) with (100 指考) STA Toto odio tin windmills, boathouses, chapels, Todmood boib bus torusiqa mod zawad2 (C) includings ((D) regarding (8) (101 學測) TO (O) 2 19 18

微積分的問題，雙倍三倍的概念

27-30 MODELING, APPLICATIONS 27. Exponential growth. If the growth rate of a culture of bacteria is proportional to the number of bacteria present and after 1 day is 1.25 times the original number, within what interval of time will the number of bacteria (a) double, (b) triple?

求詳解，感恩

1 2. 3 4. D) Basically, they go on voyage after voyage in search of an immense treasure buried somewhere by the King of the Pirates, Gol D. Roger. B C 閱讀測驗1 There he flies, turns, lands and—to da- a disaster is saved, by Superman. “Come on,” you roll your eyes. “That's NOT real.” But admit it -we LOVE superman. Since the debut of the prototypical superhero Superman in 1938, stories of various superheroes have dominated American comic books and crossed over into such other media as films and animations. Versatile as these super characters may be, they do share certain traits. We know the double-life secret that Peter Parker is Spider-man, Bruce Wayne the Batman, and Clark Kent the Man of Steel. The secret identity has a civilian job while the “super-me” puts on an eye-catching costume, or custom-made accessories like Wonder Woman's bracelets. We are concerned that the bad guys play tricks so as to hurt these protectors. Fortunately enough, our superheroes normally have a base to go for “restoration” to. The Batcave has everything the Batman needs. Isn't that great? Furthermore, these super icons may have some backups and do not always have to work independently. The Fantastic Four or X-men team up as they have common origins or sponsors. These super teams are like a marvelous circle. Nevertheless, there are downsides being a superhero. Credits are not always given as the Batman and Spider-man meet with public skepticism or outright hostility. A superhero may even lose control as the Hulk has an issue with his violent alter ego. We love to see the superheroes think big and achieve big. They for sure reflect what we are and what we want to be. In summary, superheroes are popular and iconic because they each represent a large part of a society's traits and values. Everyone can relate to at least one hero and villain, because those heroes are designed to show the best parts of society, and the villains represent the worst parts. 5 What can we say about the author's tone? (A) Angry. (B) Formal. (C) Harsh. (D) Relaxed. 48 主题5 藝文世界

幫我看第三張圖的 三題練習題答案對嗎❓

44 How Do You Take Your Tea? 計等 Not counting water, tea is the most consumed drink) in the world. It makes sense if you 么理 think about it. The two countries with the largest populations, China and India, have strong 魯统 tea-drinking traditions. While the love of tea seems to be international, what differs is the 國際性 不同 manner in which people take their tea. 關製 Indians drink more tea per person than any other people on Earth. One popular way to drink tea there adds a long list of ingredients, making it something quite unique. The recipe 種類 includes tea, of course, plus milk, sugar, and a variety of spices including ginger, cloves*, 黑月紋 cardamom*, cinnamon*, and black pepper. After the ingredients are all boiled together, the 名为 liquid is poured, often from a great height into small glasses. 到来 高傲

想問這題的39題 答案是C 想問A選項跟B選項 分別代表哪些字（文章中） 答案主要在第四段 但是我覺得founder跟holder還有sponsor意思也不太接近

第4頁 共7 頁 109 年指考(補考) 英文考科 五、閱讀測驗(占32分) 說明:第36題至第51題,每題請分別根據各篇文章之文意選出最適當的一個選項,請畫記 在答案卡之「選擇題答案區」。各題答對者,得2分;答錯、未作答或畫記多於一個 選項者,該題以零分計算。 第36 至39 題為題組 I am thrilled to welcome you to the 20th annual Roger Ebert's Film Festival, a special event in partnership with the University of Illinois College of Media, the greater Champaign-Urbana community, and movie lovers everywhere . Little did we think, back in 1999, that our experiment in reinventing the film festival to make a festival that celebrated overlooked films, formats and genres, and the women and men who made those films would become a landmark annual event in the life of our community and contribute to the renovation of the remarkable Virginia Theater, our home from the very beginning. In selecting the films for this year, Chaz Ebert and I looked to women filmmakers for our inspiration. Fully half of our films are either directed or co-directed by women, and several others have women in powerful produeing roles. Films directed or co-directed by women include “13th," directed by Ava DuVernay, “Belle," directed by Amma Asante, and "American Splendor," directed by Shari Springer Berman and Robert Pulcini, And women producers include Lynda Obst and Emma Thomas ("Interstellar”) and Ruth Ann Harnisch and Danielle Renfrew Behrens (“Columbus"). Our opening night film is “The Fugitive," directed by University of Illinois alumnus Andrew Davis. Our Saturday night film is the classic "The Big Lebowski.” Our guest will be the Hollywood legend Jeff Dowd. And of course The Alloy Orchestra will be back, this year with “A Page of Madness,” the classic Japanese silent film. We would like to thank our sponsors, volunteers, festival pass holders, and individual ticket holders for their welcome participation in this endeavor. We look forward to your unwavering support as our festival continues to blossom each spring in central Illinois. We especially want to thank the University of Illinois for their loyal support year after year. This festival is Roger Ebert's gift to his hometown, and for that we thank him and his wife Chaz. They continue to be a remarkable team, and it is an honor to work with them. 36. Who is most likely the writer of this passage? (A) The President of the University of Illinois. (B) A movie critic who is a friend of the Eberts. (C) A member of the Festival's organizing committee. (D) A journalist who reports stories about the Festival. 37. What was the purpose of reinventing Roger Ebert's Film Festival in 1999? (A) To work closely with the University of Illinois. (B) To help restore a building associated with the Festival. (C) To establish a signature annual event in the community. (D) To honor people who made films that were not box-office hits. 38. What is the focus of this year's film selection? (A) Films produced or directed by women. (B) Hollywood classics and legends. (C) Stories featuring female leading roles. (D) Diversity in formats and genres. 39. Which of the following is NOT included in the writer's acknowledgement remarks? (A) The founder of Roger Ebert's Film Festival. (B) A student who purchased a pass to the Festival, (C) The producer of the Festival's award-winning film. (D) A company which provided financial support for the Festival. -4.

請問50.題的 B選項 文章中有表明說intend to be temporary 嗎？ D選項的rare and beautiful 為什麼有錯 ？ 謝謝😀

You may or may not have heard of Christo, but it's undeniable that he had a big impact on the art world. The Bulgarian-American artist, who passed away in May 2020, made a career out of combining art with engineering to produce sweeping, grand installations. Christo was born in Bulgaria but left with his family to take up residence first in Western Europe and then in the US. He became known as a "land artist)” someone who creates works of art not by painting existing landscapes, but by adding his or hey art to the landscapes themselves. In 1969, he created Wrapped Coast in Sydney, Australia. Working with a team of assistants, he took over part of the coastline (at Little Bay in Sydney and covered the entire area in a huge spread of synthetic fabric. The fabrie tovering the landscape encouraged people to see the area with a hew perspective. In addition, the way the fabric hid the ground while still revealing its bumps, fissures, and curves turned it into a landscape in the most essential sense, like a three-dimensional topographical map of itself. At the time, it was the biggest piece of artwork ever created. Christo continued to think big with Valley Curtain, another enormous piece of fabric pulled across a valley in Colorado, US, from one side to the other. More than 350 meters (m) wide and 100m tall, the curtain's construction was a lengthy and laborious process. During his first attempt to set it up, the fabric caught too much wind and blew away. When it was finally put into place, it lasted only a little more than a day before having to be dismantled again. Though Christo's artwork, like anything in life, did not last forever, it was extraordinarily impressive while it existed. Christo continued to create such pieces throughout his career. 000.000 A 48. Based on the passage, a land artist needs der er (A) personal experience as a construction engineer 000.000.1 Bt considerable knowledge about geography (C) the right landscape to create their pieces 000,008 the ability to create long-lasting pieces Der 000.000 49. What is said about Valley Curtain? (A) Christo's first attempt at it was a failure. (B) Christo used a fabric to cover an entire ground. (C) It covered the entire length of a long valley! (D) It used a three-dimensional topographical map. 50. What do we learn about Christo's artwork from the passage? (A) It was inspired by something he saw as a small child. 10 . (C) It made people think about environmental protection. (D) It showed people that art was rare and beautiful. D 51. Which of these pictures is most likely Christo's artwork? (A) (B) (C)

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.