請問這題b,c

- 3. The point P(2, -1) lies on the curve y = 1/(1 − x). (a) If Q is the point (x, 1/(1 − x)), find the slope of the secant line PQ (correct to six decimal places) for the following values of x: (i) 1.5 (ii) 1.9 (iii) 1.99 (iv) 1.999 (v) 2.5 (vi) 2.1 (vii) 2.01 (viii) 2.001 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(2, -1). (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(2, −1).

求解第一小題

1.3.5 4. 擲一顆均勻的骰子兩次,設4表示第一次出現奇數點的事件,B表示兩次的點數和為7的 事件,求 8 (1) P (B|A) ° X2 275 42 (2) P(A/B) ·,.,A 3+4 <配合範例2> 加床三且,同時 9 PIBIA) PLAND) P (B) 1x1 (8) 2 **P(A^B) P(A) 17 = 2^ Z 2 7 2 14/ 2 Al 2 FROM

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

想問為什麼要像第二張圖那樣算？就是為什麼要乘(X-1)呢？

f(x) = 18 from = (x- foro EX (A 12 + 12. 以x+x+1除"所得之餘式為 o-x?+X? - jo xtri 4 7% a x ²WX" on x2 + x + yo X

求解這一題的圖要怎麼畫😥😥

( 25 26 s from = 32 - x 656# x 0,5-0,4 - 6,3 -0.2 -0.1 -| ololl 02103104las 9 0 Et

12題怎麼算

(3) 1. 不等式 +4 3+2 3 x 3x + 2 5 (D) x < -13 . 3 <—— 的解為何?(A)x < 13 (B) x >13 (C) r>-13 10 o S/X+4) -)(3x+2) <3 5x+20 -6x-4cs. - X - 13 TERTE 0 = (1+S)+(+) >>0 10. () X>13. ( 12. 超級機車行銷售環保七期機車,廣告促銷內容如下: 12/31前購買新款 POPOGO 機車一律9折大優待,再贈送加油金 5000元,買到賺到,保證荷包整整省下10000 元以上,若廣告屬實,則 POPOGO 機車原價至少多少元? (A) 65000 (B) 60000 (C) 55000 (D) 50000。 9 come fosse S 01 = x (C) -=解 co 13. 方程式x^+ 2x=3=0之解為何?(A)x=1或3 (B)x=-1或3 (C) x=1或-3 (D) x=-1或-3。 Der) X=-3,1

求解21,22,38🙇 section1.3不用理他 equation 2.1.5是微分的定義式

(d) Use the definition of derivative to prove that your guess in part (c) is correct. 14-21 Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. 14. f(x) = 3x - 8 15) f(x) = mx + b 16. f(x) - 4 + 8x - 5x? (17) f(x) = x - 3x + 5 18. f(x) - x + V g(x) - 19- x? - 1 20. f(x) 21s(x) x2 2.x - 3 (hours) arger. The graph hat the battery purs). (r)? graph - a 22.) a) Sketch the graph of f(x) - V6 - x by starting with the graph of y # and using the transformations of Section 1.3. (b) Use the graph from part (a) to sketch the graph of f! (c) Use the definition of a derivative to find f'(x). What are the domains of f and f'? (d) Use a graphing device to graph f' and compare with your sketch in part (b). lo-TE 23. (a) If f(x) = x + 1/x, find f'(x). (b) Check to see that your answer to part (a) is reasonable by JE comparing the graphs of f and f'. 1 (hours) shows how 24. The table given tho hai

help me please, thanks.

9. College-Educated Workers. Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25–29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16% (Pew Research website). a. What is the population being studied in each of the four years in which Pew has data? b. What question was posed to each respondent? c. Do responses to the question provide categorical or quantitative data?

為什麼答案是X (from徐氏）

1. 若P(a,b)為1 = f(x)上一點,則過P之切線之斜率為(a)。 o

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