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數學與統計 大學

大一公衛系微積分,求第二題解

公衛系 微積分期末考 (28/12/2018) 1. Use the Laplace transform to solve the differential equations. (1) j(t)+2y(t) = x(t), y(0)=1, x(t)=10, t20 (20) (2) Intravenous glucose is a treatment. Disposed at a fixed rate k grams per minute inputs into the blood, while blood glucose will be converted to other substances or moved to another place, at a rate proportional to the amount of glucose in the blood, the proportionality constant is a (a> 0), the initial amount of glucose in the blood is M. A. Find the variation in the amount of glucose in the blood (15) B. Determining the equilibrium, the amount of glucose in the blood. (5) = 2. SI Epidemic Model : The size of the population, n+1, remains fixed. Let i(t) be the number of infectives at time t, and let s(t) be the number of individuals who are susceptible. Given an initial number of infectives iO), we would like to know what will happen to i(t). SI Epidemic Model is described by the differential equation. di(t) = k·i(t).s(t) ......(5.1) dt i(t)+s(t)=n+1 i(0)=i, (1) Solve this differential equation of the SI Epidemic Model (5.1). (10 h) (2) What is the peak times t of the epidemic spread? (10) 3. Consider the Two-compartment physiological models and is shown in figure 1. C1 (t) represent the drug concentration in the first compartment and C2 (t) represents the drug concentration in the second compartment. Vi and V2 represent the compartment volume. Use the first order linear differential equation general solution to solve the C1 (t) (20 ) and use the Laplace transform to solve C2 (t). 【20 分). | 世」!()

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生命科學與醫學 大學

(社區) 求解🙏第71題:陰性預測值要怎麼算 謝謝!!

0267. 骨質密度篩檢之敏感度(sensitivity)為80%,其代表的意義為何?(A)篩檢結果為陰性個案中,有80%有骨質疏鬆 (B)有 80%的骨質疏鬆個案,篩檢結果為陰性(C)篩檢結果為陽性個案中,有80%有骨質疏鬆(D)有80%的骨質疏鬆個案,篩檢結 果為陽性。 情況:159 位喉嚨痛的病人中,有42位喉部培養呈陽性,在呈陽性反應者中經醫師正確診斷出B疾病者有30人;同時有117 人 喉部培養呈陰性,醫師對其中88 人正確地未給予抗生素(如表)。依此回答以下四題。 DID 升 68. 此喉部培養檢查的敏感性(sensitivity)是:(A) 50.84% (B) 71.42% (C) 75.21% (D)88%。 +3o 142 69.此喉部培養檢查的特異性(specificity)是:(A) 50.84% (B) 71.42% (C) 75.21% (D) 88%。 | 88 | 收 历 70. 此喉部培養檢查的陽性預測值(positive predictive value)是:(A) 50.84% (B) 71.42% (C) 75.21% (D) 88% 71, 此喉部培養檢查的陰性預測值(negative predictive value)是:(A) 50.84% (B) 71.42% (C) 75.21% (D) 88%。 72. 某地區年中人口數為10萬人,該地區肝癌病患為1,000人,全年內死亡總人數為500人,其中因肝癌死亡為30 人,該地區 肝癌致死率為何?(A)3%(B)30%(C) 5%(D)50%。 73. 斯徒昂特(Stuart)所提出家庭的五項特質,不包含下列何項?(A)家庭成員之間可能沒有血緣關係 (B)家庭成員可能沒有 = 3%0 住在一起 (C) 家庭成員可能沒有生育下一代 (D) 家庭成員之間可能沒有承諾與責任。 74. 卡加利家庭評估模式(Calgary Family Assessment Model)的評估架構中不包括下列何者?(A)家庭的優勢 (B)家庭的發展 (C)家庭的結構 (D) 家庭的功能。 391100/159 子女 XIE 14pp 众(information idlove)

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數學與統計 大學

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?

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