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」!()

統計～ 請問a.b小題要怎麼解🙏🙏

a. 4. The Boston Fire Department receives 911 calls at a mean rate of 1.6 calls per hour. Suppose the number of calls per hour follows a Poisson probability distribution. What is the probability that there will be less than one hour between 911 calls? b. What is the probability that there will be 30 minutes or more between 911 calls? c. What is the probability that there will be more than 5 minutes, but less than 20 minutes between 911 calls?

請問這題怎麼解，感謝🙏

- MANUFACTURING At a certain factory, Output Q is related to inputs x and y by the equation y Q = 2x2 + 3x?y2 + (1 + y)3 If the current levels of input are x = 30 and y 20, use calculus to estimate the change in input y that should be made to offset a decrease of 0.8 unit in input x so that output will be maintained at its current level. -

請問這題怎麼解，感謝🙏 （（附答案

41. SUPPLY RATE When the price of certain commodity is p dollars per unit, the manufacturer P is willing to supply x hundred units, where 3p2 - x2 = 12 How fast is the supply changing when the price is $4 per unit and is increasing at the rate of 87 cents per month?

計算機概論 關於CRC的問題 謝謝🙏

(10 pts.) The following 4 bits 1001, are to be sent over a channel along with the cyclic redundancy checks (CRC). If the codeword has n = 7 bits and the divisor is 1011, how many CRC bits will need to be added to the 4 bit message? Compute the CRC.

請問e小題怎麼算，謝謝🙏

a POPULATION GROWTH It is estimated that 1 years from now, the population of a certain 6 suburban community will be P(1) = 20 - t + 1 thousand inst . a. Derive a formula for the rate at which the population will be changing with respect to time t years from now. b. At what rate will the population be growing 1 year from now? c. By how much will the population actually increase during the second year? d. At what rate will the population be growing 9 years from now? e. What will happen to the rate of population growth in the long run?

機率 答案是0.3946求過程

6.45 At a train reservation counter, one man com- pletes his reservation with a mean time of 3 minutes. Service completion time is assumed to follow exponen- tial distribution. Out of the 5 customers in queue, what is the probability that at least 4 will complete their reservation within 3 minutes? t

數學/統計學/共變異數/相關係數 想請問一下題目上的第三題要如何求算ಥ_ಥ （網路上查到的題型都是實數對實數，這裡是給一個範圍⋯而且求的是開架跟天數而不是兩區的差別） 附上上課給的範例嗚嗚嗚 麻煩了ಥ_ಥ謝謝各位

Question 2 (125) V2 某家位於美國中部小鎮之小型房地產仲介,現想瞭解物件自委託到買賣成立所需的時間。該 公司分析近近三年來成交的 800 筆資料,整理如下表。 成交所需天數 30 天以內 31-90 天 90 天以上 總和 $150,000 以下 50 40 10 100 6 6:125 $150,000-$199,999 20 150 開價 80 250 0,3125 $200,000-$250,000 20 280 100 400 05 $250,000 以上 10 30 10 50 總和 100 500 200 800 如果該公司簽下委賣合約,開價在$150,000 以下,則成交天數在90 天以下的機率 為何? b. 如果事件 A表示成交所需天數在90天以上,事件B表示開價在$150,000 以下, 請問事件A與B 是否為獨立事件?試說明之。 C. 假設該公司將800 筆數據又細分為東區及西區(兩區房價分佈相似),並統計在售價 區間的平均銷售天數,其結果呈現如下表。試算共變異數及相關系數,說明開價與平 均銷售天數有甚麼關係。 平均銷售成所需天數 0,0625 a. 東區 西區 PC62 37 42 54 66 開價 $150,000 以下 $150,000-$199,999 $200,000-$250,000 $250,000 以上 71 82 46 50 出S(新) 法制度信天名之戈登发 才有哪 and AND cing 0 .action 2 (104)

經濟問題求解

cc. marginal cost exceeds average revenue. d. price equals marginal revenuee 4和 Amonopolistically competitive firm faces the following demand schedule for its product:川紀 2 明" 應 (怒 且人 外 6 2 線 7 [price 國加世光了光上防到還說9信2] 全生國加還3 9 nti 還 6 | 只 : 上3吧 18人|避24[S242a|8829 30 Thefirm has total fixed costs of $9 and aconstant marginal cost of $3 per unit. The 避 / 2 0 7 firm will maximize profit with 出 歡OOIUNZd 2 1 滲 1人歡到 | 說說只 a. 9 units of output- 以 - : b. 15 units of output- 和 Cc. 21 units of output. 人 d. 30 units of output. 2 員

微積分 這題怎麼解 他是問啥

47 Averoge cosf、 Fora company that manufactures tennis Tackets, the average cost per racket Cis 1 表 語 Where is the number ofrackets produced per hour' What Will the approximate change jn average cost per Tracket be 痊production is increased from 20 per hour to 25 per hour? From 40 per hour to 45 per hour?