想詢問關於系統的觀察性的問題 討論系統的觀察性時 只需討論C矩陣對應喬登方塊的第一行不為0向量即可 但為什麼不會限制特徵值為1時不可觀察 左圖是我的算式，右圖是我對觀察性的理解

X₁₁) = Ax (+) Y(t) = (x(t) [×+ ] [ 6 ] [ 7 ] + BU X₂(t). X₁(t)] 不相干 git) = Cete Xro) At y(t) = [C₁ C₂] X₂(t) t == (C₁ (X₁ (0) + X2 (0)) + (2 X (0) e * = qe² X110), X210)無限多組解

想詢問關於系統的觀察性的問題 討論系統的觀察性時 只需討論C矩陣對應喬登方塊的第一行不為0向量即可 但為什麼不會限制特徵值為1時不可觀察 左圖是我的算式，右圖是我對觀察性的理解

X₁₁) = Ax (+) Y(t) = (x(t) [×+ ] [ 6 ] [ 7 ] + BU X₂(t). X₁(t)] 不相干 git) = Cete Xro) At y(t) = [C₁ C₂] X₂(t) t == (C₁ (X₁ (0) + X2 (0)) + (2 X (0) e * = qe² X110), X210)無限多組解

請問這題a為何用DTFT再逆轉換算出來y[n]=0與解答用z轉換結果不同

2.5. A causal linear time-invariant system is described by the difference equation y[n]-5y[n-1]+6y[n = 2] = 2x[n— 1]. (a) Determine the homogeneous response of the system, i.e., the possible outputs if x[n] = 0 for all n. (b) Determine the impulse response of the system. (c) Determine the step response of the system. ==

想問這兩題如何解~謝謝

r Algebra (...* Juny > N Problem 2 35 points B Please find by the back substitution method if Bx = (6,0, 9, 10) and 2 0 -1 2 2 0 3 Problem 3 A = 0 P 2 0 1 2 1 04 -1 2 16 -2 4 iH -1 -1 2 -1 30 points Find basis vectors of C(AT) and N(A) if 3 2 3 1 5 -1 2 with the help of results obrained in Problem 1.

經濟學 請問有人可以教教我嗎ಥ_ಥ

7. In 2010, Americans smoked 315 billion cigarettes, or 15.75 billion packs of cigarettes. The average retail price (including taxes) was about $5.00 per pack. Statistical studies have shown that the price elasticity of demand is -0.4, and the price elasticity of supply is 0.5. a. Using this information, derive linear demand and supply curves for the cigarette market. b. In 1998, Americans smoked 23.5 billion packs cigarettes, and the retail price was about $2.00 per pack. The decline in cigarette consumption from 1998 to 2010 was due in part to greater public awareness of the health hazards from smoking, but was also due in part to the increase in price. Suppose that the entire decline was due to the increase in price. What could you deduce from that about the price elasticity of demand?

51題，解答九分之一那邊，為何是cot3x的三次方而不是一次方，為何是九分之一不是三分之一？

Finding an Indefinite Integral In Exercises 49–58, find the indefinite integral. Use a computer algebra system to confirm your result. 49. cot 2x dx 50. tan Soor foset X X sec4 4 4 dx 51. csc4 3x dx 52. cores X X cot? csc4 – dx 2 2

偏導數計算

- 4. (C) 假設f(x,y,z)和g(x,y,z)有連續的偏導數,還有點 P = (1,2,-1)位於曲面上 f(x,y,z)=3上。已知: Assume f(x,y,z) and g(x, y, z) have continuous partial derivatives and the point P = (1, 2, -1) lies on the level surface f(x, y, z) = 3. You are given that • The tangent plane (to ten) of f(x, y, z) = 3 at P is 2x – y + 3z = -3 • fy(1,2, -1) = 2 (a) Find & vf(1, 2, -1). - o (b)使用 P處的線性迫近來估計f(1.1, 2.01, -0.98)。 Estimate the value of f(1.1, 2.01, -0.98) by the linearization of f at P.

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」!()

請問這題怎麼解😢😢

--- B - a thin uniform rod (mass 3.9 kg, length 3.9 m) rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at a distance d= 1.0 m from the end of the rod. The kinetic energy of the rod as it passes through the vertical position is 20 J. (a) What is the rotational inertia of the rod about axis A? (b) What is the (linear) speed of the end B of the rod as the rod passes through the vertical position? (c) At what angle o will the rod momentarily stop in its upward swing?

根本看不懂啦＼(￣▽￣;)／

Your report should follow these guidelines, although you may choose how you present it: How to Write a Mathematics Report In writing your report, remember that you are writing up a mathematical story and so, like all good stories, it will need a beginning, a middle and an end. More formally, the main components of this writing style are: Introduction, Formulating the Problem, Solving the problem, Discussion of Results, and Conclusion. We will now consider some of the detail in each of these aspects. Introduction This is the beginning of the story. Give a brief explanation of what the problem is about what the goals of the report are and what will be presented. Assume that your reader does not know what the problem is about or how to solve it. Formulating the problem Translate the situation into a maths problem. Explain how you will begin to solve the problem and break it into simpler stages. Discuss any assumptions made. What quantities are variables and which values are fixed? You may use sub-headings if they assist you. Solving the Problem Show any calculations and mathematical reasoning that you use. (Assume that your reader does not know much maths). Do not show the same types of calculations repetitively. Just give one or two examples of a calculation and then put the rest of the results in a table. Use diagrams or graphs if they assist you. Make general remarks about what you observe in your calculation results and, possibly, why. You may want to criticise your work and go on to improve it in the next section. Explain what you will do next and why. Discussion of Results - Evaluate and Verify Summarise your results if necessary and refer to your mathematical reasoning. Justify procedures used. Interpret your results. First, are they reasonable or does something not look right and need further investigation or checking? Is there a decision to be made? Here is where you should present the decision-making process. Evaluate the strengths and limitations of your solutions. Conclusion Summarise your findings. Refer to the problem outlined in the introduction. Make sure that you answer the question that was asked. Make recommendations. No new material should be presented here.