求解：9、17、27,謝謝~

Ad-numbered problems begin on page ANS-8. limbinht lim or state that it does not tolista O 1 . 7. lim 8. li 10 t sect csc 4t to 2 sint lim -4.1=4, 10. 170 t cost 31 sin26t 11. lim lim .36 12. t->0 t2 to 36t² sin(-41) sintt t 1 + sinx m +01 + COS X -36 # sin(x - 1) 13. lim x=1 2x - 2 14. tang n = 0 3x is sin(x-1) 2(x-1) - IN 们

求解11、14🥺

習題 11-19,若單邊極限存在,求其值。 MIN 11. lim (3x – 4) x-1- x + 2 12. lim *-1* x + 1 x + 1 x2* x² - 2x + 3 13. limbe X 14. lim

微積分🙏🙏

微積分 1-2 練習題。 (1)<(0.99)"> 1. 判斷下列各数列是否收敛,若為收斂求其在限。 (2)<(-1.01)"> (3)<(-0.99)"> 1 2. 求下列各数列的在展: 2 (2 + X3 - (1) (2)<5x( "> (3)<< 3. 試求下列各極限值:+ 3n-5 3n-5 (1) lim 2n + 3n-5 non r+1 Hon+1 (3) lim n+1 1+2+3+...+n 2" + 3" +51 2" +3" (5) lim (6) lim 3" - 5 737 3" - 5" ( (2) lim 1- (4) lim → n H 1 1-- 4. 設三個無窮數列< 1 14 12">、<cn>< 2>满足's Son 14 im Com ,求m Ou

求解第30、31題

演練題(Q&A) 4.機率分配模型 D: P(X> 8) C : 49/12 Ans C Ans c D: 3.5 31 標準常態分配的四分位距(IQR)約為多少? z 27:令為指數分配之隨機變數目變異數ar(X)=4,則平均數 EIN) = ? A:4 E(X)= =12 I # B: 16 C:2 Ans C D: 8 Varlx) = 7 7 7 =4 , 1 - 1 - 2 1.2 28:令X為平均數 ECK)=3 之指數分配隨機變數,則變異數 Var(N) = ? A:3 E(X) = 1 = 3.1= Standard Normal table: probability for PGO <Z <z) 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 | 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.3 0.1179 0.1217 0.12550.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 | 0.2422 10.2454 | 0.2486 0.2517 0.2549 0.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 03133 0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.610.4452 | 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.45910.4599 0.4608 0.4616 0.4625 0.4633 1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 2.0 | 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.2 | 0.4861| 0.4864 10.4868 | 0.487110.48TS | 0.4878 10.4881| 0.4884 0.4887 0.4890 2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 2.4 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952 2.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 2.7 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.49710.49720.4973 0.4974 12.9 | 0.4981| 0.4982 | 0.4982 | 0.4983 | 0.4984 | 0.4984 | 0.4985 | 0.4985 | 0.4986 | 0.4986 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 3.3 0.4995 0.1995 0.4995 0.4996 0.4996 0.1996 0.4996 0.4996 0.4996 0.1997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 B:6 C:9 Vaulx) = 2 D:1 Ansc Aie? 29:令X為平均數 EX)=3 之指數分配隨機變數,則機率 PK > 6) = ? -AX 大 tits e B:1-e' -2x Ciel M-3, M = 3 he LLLLLL 3.0 0.4987 3.1 0.4990 # Nah l-e 3.4 0.4997 Die Ans A A:1 B: 1.5 30 : 令X為平均數E(X)=4之指數分配隨機變數,則條件機率 PK >6|Y>2) = ? A: P(X>6) C: 1.34 Pl (x>6) (x > 2)) P(X>6) P( X2) D: 2 B: P(X> 2) 4 4 P(X>2) e C: P(x > 4) Ansc

求解

UNCLE 華夏科技大學五數學(四) SMA4-31092B005 三。 31092B005 才 不善 截止期限與事基建信箱 2021年06月18日07:00 31 寄到:ckmathole grail.com 19) 求焦點為F(03)且準線為ly+3=0的地物線方程式。 (20) 求焦點為F(-1.3)且準線為ly+7=0的拋物線方程式。 AE 1 50 a agr 21) 求兩焦點為F(-3.0), F(3.0)且長軸長2a=10的椭圆方程式。 22) 求兩 焦點為F(0,-3), F (0.3)且長軸長2a = 10的椭圆方程式。 yi的焦點與漸近線。 24) 求雙曲線 -1 的焦點。 23)求橢圓 25 16 9 9

想請問是怎麼從第三個等號跳到第四個等號的，推了好久還是推不出來QQ 求那一步的詳細過程，感謝🙏

If X is a geometric random variable, show analytically that PX = n + k|X> n = PX = k Using the interpretation of a geometric random variable, give a verbal argument as to why the preceding equation is true. flacomath 5.0 0 1 Let X distribute geometric with success probability p, and failure probability q=1, p. Then, - P(X = n +k and X > n) P(X = n + k|X > n) = P(X > n) P(X = n + k) 1- P(X <n) qn+k-1p 1-21-1 q-1p qn+k-1p qn+k-1p q" - - =qk-1p = P(X = k)

急 求救統計 #6 （可支薪）

6.The National Science Foundation (NSF) sponsored a study on girls participation in informal science, technology, engineering, or mathematics (STEM) programs. The results of the study were published in Cascading Influences: Long-Term Impacts of Informal STEM Experiences for Girls (March 2013). The researchers sampled 174 young women who recently participated in a STEM program. They used a pie chart to describe the geographic location (urban, suburban, or rural) of the STEM programs attended. Of the 174 participants, 107 were in urban areas, 57 in suburban areas, and 10 in rural areas. a. Determine the proportion of STEM participants from urban areas. b.Determine the proportion of STEM participants from suburban areas. c.Determine the proportion of STEM participants from rural areas. d. Multiply each proportion in parts a-c by 360 to determine the pie slice size (in degrees) for each location. e.Use the results, part d, to construct a pie chart for geographic location of STEM participants. f.Interpret the pie slice for urban areas. g.Convert the pie chart into a bar graph. Which, in your opinion, is more informative?

急！求救 #6 8 9 如果需要酬勞可私下談 （ex.$70題）

pie participation in informal 6.The National Science Foundation (NSF) sponsored a study on girls' science, technology, engineering, or mathematics (STEM) programs. The results of the study were published in Cascading Influences: Long-Term Impacts of Informal STEM Experiences for Girls (March 2013). The researchers sampled 174 young women who recently participated in a STEM program. They used a pie chart to describe the geographic location (urban, suburban, or rural) of the STEM programs attended. Of the 174 participants, 107 were in urban areas, 57 in suburban areas, and 10 in rural areas. a.Determine the proportion of STEM participants from urban areas. b.Determine the proportion of STEM participants from suburban areas. c.Determine the proportion of STEM participants from rural areas. d. Multiply each proportion in parts a-c by 360 to determine the pie slice size (in degrees) for each location. e.Use the results, part d, to construct a pie chart for geographic location of STEM participants. f.Interpret the pie slice for urban areas. g.Convert the pie chart into a bar graph. Which, in your opinion, is more informative? 7. All high way bridges in the US are inspected periodically for structural deficiency by the FHWA. Data from the FHWA inspections are compiled into the National Bridge Inventory (NBI). Classify each variable below as quantitative or qualitative. a. Length of maximum span (feet). b. Number of vehicle lanes. c. Toll bridge (yes or no). d. Average daily traffic. e. Condition of deck (good, fair, or poor). f. Bypass or detour length (miles). g. Route type (interstate, U.S., state, county, or city) 8. The NBI data were analyzed and the results made available at the FHWA Web site. Using the FHWA inspection ratings, each of the 608,272 highway bridges in the US was categorized as structural deficient, functionally obsolete, or safe. About 13.5% of the bridges were found to be structural deficient, while 3.5% were functionally obsolete. a. What is the variable of interest to the researchers? b. Is the variable of part a quantitative or qualitative? c. Is the data set analyzed a population or a sample? Explain. d. How did the NBI obtain the data for the study?

請問A2的式子算出來為什麽沒有c,是怎麼算的

- 1513 Let D be the region bounded by the curve y=-x2 and the line y = mx +(m-1) · where m<0.Find a real number c such the line L=x=c divides the region D into two parts with equal areas. 【台大(A) 解:1. (x200). ( 1000) 1-m x x NH --- X=C 'y=mx+(m-1) 2. 求交點 ly=-x² = x² + mx +(m-1)=0 = (x+1)(x +m-1) = 0 (y=mx+(m-1) Cola's stogo Tubo + brev ..x=-1, 1-m 3. A = L, -x? – mx-(m–1)dx c3 2 c? 1 + +(-- +-)m-(c+1)m + c 3. 3 2 2 + 1 A2 - x“ - mx-(m-1)dx A2 = |-*-x? -\m-8)1 – m)2 – (8-9m 9m)) 01-

請問這題這樣寫正確嗎~

19. Length of Calls to the IRS. According to the IRS, taxpayers calling the IRS in 2017 waited 13 minutes on average for an IRS telephone assister to answer. Do callers who use the IRS help line early in the day have a shorter wait? Suppose a sample of 50 callers who placed their calls to the IRS in the first 30 minutes that the line is open during the day have a mean waiting time of 11 minutes before an IRS telephone assister answers. Based on data from past years, you decide that it is reasonable to assume that the standard deviation of waiting times is 8 minutes. Using these sample results, can you conclude that the waiting time for calls placed during the first 30 minutes the IRS help line is open each day is significantly less that the overall mean waiting time of 13 minutes? Use a = .05.