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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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英文 大學

請問學過測驗學或英文很強的大神,我用紫色畫起來的這段話該怎麼翻比較正確

110 95 63 Performance Are Motor Concepts Language Total ite socioeco indings n these TAL-3 itely v eads 89 104 Self-Help 77 88 Social-emotional Self-Help TAL reate esti ifies ess: nor wh 65 Temir Focial-emotional acc ch "F te er 0 H-1510-09 * 3. 5 PAPER+COPY+FAX 雙頭螢光筆 as the Early Screening Profiles, Differential Abilities Scale, and Peabody Picture Vocabulary Test-IV. A recent study favorably evaluates the con struct validity of the DIAL-3 through confirmatory factor analysis (Assel & Anthony, 2009). As noted the instrument was designed to screen for devel opmental delays in three domains: motor abilities, conceptual knowledge, and language competence. An essential feature of the test is that separate scores are reported for each domain. These domains and the 74 fubtests comprising them were rationally precon- derved by the test authors. An important question is whether the 21 subtests “hang together” statistically in a manner that supports the rational grouping into the three domains provided by the test developers, In other words, do the three domains possess a latent reality, or are they merely figments of the imagina- tions of the test developers? Using test results for 1,560 children ages 3 to 6, Assel and Anthony (2009) found an excellent fit between the three domains tra- ditionally reported on the DIAL-3 and three empiri- cally derived domains found through factor analysis, which supports the construct validity of the test. However, these authors did note that Articulation subtest was a poor index of language compe Cotchine subteet

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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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