第二十五題求救 我現在只能把它微分一次

g(x) = x 1+= X if x < 0 Show that f'(x) = g(x) for all x in their domains. Can we conclude from Corollary 7 that f g is constant? 25. Use the method of Example 6 to prove the identity. 2 sin ¹x = cos (1 - 2x²), x ≥ 0 26. At 2:00 PM a car's speedometer reads 50 km/h. At 2:10 PM it reads 65 km/h. Show that at some time between 2:00 and 2:10 the acceleration is exactly 90 km/h². → hour) 27. Two runners start a race at the same time and finish in a tie. Prove that at some time during the race they have the same speed [Hint: Consider f(t) = alt). h(t) ord

求教學

學號: 1. Find the average utility possibilities of subgame perfect equilibria for Market Niches played four times if the firm use only pure strategies. How close can you get to (3,3) with four repetitions? Firm 2 Firm 1 A B A (3,3) (4,1) B (1,4) (0,0) (A,A)

各位大神 求解 拜託🙏🆘

CA 梁柱 一截面積是原來的兩倍 22. Two girders are made of the same material. Girder A is twice as long as girder B and Bo DE C B³ has a cross-sectional area that is twice as great. The ratio of the mass density of girder A to the mass density of girder B is: 質量密度 A) 4 B) 2 C) 1 D) 1/2 E) 1/4 29. During a short interval of time the speed v in m/s of an automobile is given by v=at² + bt³, where the time t is in seconds. The units of a and b are respectively: A) m-s²; m-s4 s³/m; s4/m dv=at+bt² B) C) m/s²; m/s³ D) m/s³; m/s4 E) m/s4; m/s5 34. The position y of a particle moving along the y axis depends on the time t according to the equation B) C) D) E) 質固定,体2倍 #%# 40. The coordinate of an object is given as a function of time by x = 7t-31², where x is in meters and t is in seconds. Its average velocity over the interval from t = 0 to t = 2 s is: A) 5 m/s X₂=0, X₁₂=14-12=2 B) -5 m/s 11 m/s C) D) -11 m/s (2-0)/2=1 E) -14.5 m/s 41. The coordinate of a particle in meters is given by x(t) = 16t-3.01³, where the time t is in seconds. The particle is momentarily at rest at t = A) 0.75 s A y = at -bt². The dimensions of the quantities a and b are respectively: A) L²/T, L³/T2 B) L/T², L²/T C) L/T, L/T² D) L³/T, T²/L E) none of these 1.3 s 5.3 s 7.3 s 9.3 s V(t) = 16-9+² =- [9t²-16) =-(3t+4) 13t-4) =+= 0.75 45. The velocity of an object is given as a function of time by v = 4t-312, where v is in m/s and t is in seconds. Its average velocity over the interval from t=0 to t=2 s: A) is 0 B) is -2 m/s C) is 2 m/s D) is -4 m/s E) cannot be calculated unless the initial position is given 49. A particle moves along the x axis according to the equation x = 61² where x is in meters and t is in seconds. Therefore: E B) C) D) E) A) the acceleration of the particle is 6 m/s² t cannot be negative the particle follows a parabolic path each second the velocity of the particle changes by 9.8 m/s none of the above

求解投資學！謝謝🙏

LG5 P10.15 Red Electrica España SA (E.REE) is refinancing its bank loans by issuing Eurobonds to investors. You are considering buying $8,000 worth of these bonds, which will yield 7%. You are also looking at a U.S. bond with similar risk that will yield 4%. You expect that interest rates will not change over the course of the next year, after which time you will sell the bonds you purchase now. a. How much will you make on each bond if you buy it, hold it for one year, and then sell it for $8,000 (or the Eurodollar equivalent)? b. Assume the dollar/euro exchange rate goes from 1.3 to 1.0. How much will this currency changes affect the proceeds from the Eurobond? (Assume you receive annual interest at the same time you sell the Eurobond.)

請問這題怎麼解🙏

L. IMWI, uc 4-19. If you measure a quantity four times and the standard devia- tion is 1.0% of the average, can you be 90% confident that the true value is within 1.2% of the measured average? 400 Students mensured the concentration of Cuina

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」!()

61的 a 謝謝

61. Under certain circumstances a rumor spreads according to the equation 1 p(t) = 1 + ae -kt where p(t) is the proportion of the population that has heard the rumor at time t and a and k are positive constants. (a) Find lim,-- p(t). a

求證明過程~感謝

7. (II) Atwood's machine was an apparatus that allowed a direct verification of Newton's second law. It could also be used to measure g. Two equal blocks of mass M hang on either side of a pulley; see Fig. 5.56. A small square rider of mass m is placed on one block. When the block is released, it accelerates for a distance H till the rider is caught by a a ring that allows the block to pass. From then on the system moves at a constant speed which is measured by timing the fall through a distance D. Show that (2M + m)D 2mH12 where 1 is the time moved at constant speed. m2 M Hotez D M FIGURE 5.56 Problem 7

大一普物 不知道怎麼計算 求解🙏

30. Review. A 7.80-9 bullet moving at 575 m/s strikes the hand of a superhero, causing the hand to move 5.50 cm in the direction of the bullet's velocity before stopping. (a) Use work and energy considerations to find the average force that stops the bullet. (b) Assuming the force is constant, de- termine how much time elapses between the moment the bullet strikes the hand and the moment it stops moving.

Particle A and B moves relative to each other in an x-y coordinate system. The positions of particle A and B as a function of time are (1... 繼續閱讀