年級

問題的種類

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」!()

待回答 回答數: 0
英文 高中

這大題求解

... mer my friends III、綜合測驗:20% There are only a handful of underwater hotels around the world. These 16. guests to do what few people ever dream of doing: sleeping underwater. Fish, of course, do this all the time, but to humans the thought of 17... one's head on the seabed isn't very appealing. That's because mammals like us 18. have sufficient air to breathe. 19. _ ever wondered, therefore, how sea mammals, like whales, manage to get their beauty sleep? A number of 20. have attempted to answer this question. They seem to suggest that whales make use of an 21. sleep technique known as “logging." During "logging," whales are 22. to shut down just one half of their brains. This enables them to get some much-needed rest, and yet at the same time remain alert enough to regularly return to the surface of the water to breathe. 23. another sea creature that makes use of "logging" to survive is the dolphin. _ 24._ Whales, which can remain underwater for up to ninety minutes, dolphins need to breathe in fresh air above the surface every twenty minutes. Thus for them it's even more important to keep half their brains awake at all times. Logging helps them 25. this. At the end of the day, this is just another example of how human and animal sleep habits are different in strange yet wonderful ways. ( ) 16. (A) let (B) allow (C) make (D) have ( ) 17. (A) throwing (B) burying (C) laying (D) lying ( ) 18. (A) must (C) can (D) will ( ) 19. (A) Will you (B) Do you (C) Are you (D) Have you ( ) 20. (A) secrets (B) habits (C) studies (D) facts ( ) 21. (A) amazed (B) amazing (C) amaze (D) amazingly ( ) 22. (A) able (B) possible (C) capable (D) likely ( ) 23. (A) Just (B) SO (C) Also (D) Yet ( ) 24. (A) As (B) TO (C) With (D) Unlike ( ) 25. (A) achieving (B) achieve (C) be achieved (D) to achieving (B) may V. 文意選填:10%(請忽略大小寫) (A) in fact (B) however (C) amazing (D) standing (E) much Animals sleep in incredible ways. They don't need to lie in bed for hours like we do. Zebras an elephants, for example, can stay 26. while they sleep. This odd sleeping position sound uncomfortable, but it's 27. safer. Predators are always around to catch sleepy prey animals Elephants, therefore, are only away in dreamland for around 3.5 hours a day, Zebras are reported to slee even less. Giraffes, 28., sleep the least of any animal. An average of half an hour per day is usuall all they need to survive in the wild. 29. __, they hardly ever sleep for more than five minutes at a time That's simply 30. __! Can you imagine sleeping on your feet and for less than an hour a day? 6. 27. 28. 29. 30. . among Among Among fantasy novels, A song of favorite. my Ice and Fire is 在 入 267 A 面尚有試題) 6100182 Perguse

待回答 回答數: 0