Q 2: A rod 10cm long, has its ends A and B kept at 50°C and 100°C, respectively, until steady state conditions prevail. The temperature at each end is then suddenly reduced to 0°C and kept so. Find the function of distribution temperature along the rod?

Q: Another equation that has been used to model population growth is the Gompertz15 equation dydt=ry…

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Q: 150 125 100 75+ 50 1 25

A: The given logistic differential equation isdPdt=0.06P-0.0006p2where t is measured in weeks.To…

Q: Consider a 2-period economy in which Yt = AtKt. The households start with a quantity a1 >0 of…

A: Please check the solution below

Q: A consumer with u = 8x^(1/2)+ y has m = 80 and pays pX= 4, pY= 2. Next month pX= 2.Provide a…

A: We have given. Consumer details :  ( u = 8(x^0.5) +y) and  m = 80 Given pays for this month :  px=…

Q: r, % 4 6 8. 10 Suppose that at time t = 0, $500 is invested in an interest- earning account. Let B =…

A: Given that, the initial investment is %500 at time t=0, Estimate the value of ft8,3 as follows, From…

Q: A small locality has a population of 52,365 in 2012. If its population increases 3% every 2 years,…

A: Given,  A small locality has a population of 52,365 in 2012 and the population increases by the rate…

Q: Suppose that a new company begins its operations in 2020 and the size of the company over the next…

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Q: The lifetime of a certain type of TV remote control is given by Y . Suppose Y has approximately…

A: Given, Y~Expλ=8 Therefore probability distribution function of y is obtained as- fy=λ×e-λy, y≥00…

Q: The number of units Q of a particular commodity that will be produced with K thousand dollars of…

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Q: 10. The U.S. population is approximated by the function 616.5 P(t) = 1+4.02e-0.5t where P(t) is…

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Q: 6. Find the temperature distribution in an infinite bar with c= 1 and initial temperature 4 f (x) =…

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Q: The distribution of the time to failure of a component is Weibull with B= 2.4 and e = 400 hours and…

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Q: 9. Find the general solution of dP kP - dt Determine the population growth and decline when P=M, P>M…

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Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A: Given ft=36,000e0.06t The given function gives the income at t months. The function that gives the…

Q: a. Graph N = 2000(0.004) 0.5t for t = 0 to t = 10.b. What is the initial value of this function…

A: N=20000.0040.5t a). The graph is,

Q: 13. Consider a prolific breed of rabbits whose birth and death rates, B and 8, are each proportional…

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Q: Suppose we have two 1 metre long rods. Each rod has a temperature of 0° on its left end with the…

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Q: The following functions give the populations of four towns with time t in years. (i) P = 700(0.90)'…

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Q: S. Show that the two functions yn = Aet (interest compounding) and y2 = Aet (discounting) are mirror…

A: Let's find.

Q: Which of the following best models the population that is continuously decreasing at 2% per year…

A: To determine: The best function that models the population that is continously decreasin at 2% per…

Q: 1. Consider the continuous time Solow growth model with population growth but without technological…

A: " Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: A ball is thrown upwards then falls back down to the ground. If h(t) represents the height of the…

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Q: 4. A particular automobile is worth $15,200 today and will be worth $9,800 in three years. a) At…

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Q: An elevator moves up and down so that its height at time t is given

A: a) The velocity is defined as the rate of change of distance vt=dhtdt  =dt3-9t2dt  =3t2-18t

Q: 12. Which of the following best models the population that is continuously growing at 5% per year…

A: population increasing also depends on what is actual population right now     Let f(t) is the…

Q: A population is modeled by the following function:   dP/dt= 1.1P (1 - (P/4300)) a) what values of…

A: dPdt=1.1P1-P4300 population is increasing then dP/dt >0…

Q: S. Show that the two functions n = Aet (interest compounding) and y2 = Aert (discounting) are mirror…

A:

Q: 55. Females in the work force Suppose the rate of change of the percent p of total U.S. workers who…

A: The rate of change of the percent P of total U.S workers who are female can be modeled by…

Q: [1] 3. How is the temperature changing with time at 70 seconds as you rise up with the hot air…

A: From question 1 we have dsdt|t=70=3.950 ft/sand from question 2 we have T(s)=60-0.00005s2

Q: 12. Which of the following best models the population t is continuously growing at 5% per year…

A: Given data :   Po=30,000r=5%=0.05

Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

A: Solved below.

Q: Two Models estimaled rates of Country over the period 1970- 2002 are MODEL 1:- 66.98-2-764DP-8.98CPI…

A: From the given information, Both model can be expressed with all required information: Model 1:…

Q: a. On the plot of the pdf, draw a second Gaussian pdf with u = 0,0 = 2. b. Show that the maximum…

A: The normal distribution or Gaussian distribution is one of the most important continuous…

Q: 11) Find the rate of change of output with respect to time, if the production function is Q =…

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Q: tổ compute the substitution effect of a change in the price of some good on the demand for this…

A: The answer to the above question is as follows :

Q: 4 The gross domestic product (GDP) of a certain country was N(t) = t? + 5t + 106 billion dollars t…

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Q: S. Show that the two functions y = Aet (interest compounding) and y2 = Aert (discounting) are mirror…

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Q: Use the Black-Scholes option pricing formula to compute for the price of the option with exercise…

A: Let us assume the following notation\ S - Current share price = 100K - Exercise price = 110r - Rate…

Q: 11 The per capita consumption of breakfast cereal in the US has the following model that appears…

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Q: (a) If a single infectious individual enters the city at t = 0, compute the progression of the…

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Q: 4. Consider the conduction of heat in a rod 40 cm in length whose ends are maintained at 0°C for all…

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Q: This table of ordered pairs contains elements of a function x. y 2 1 4 1.5 2.5 Determine the…

A: We will find the exponential equation as following.

Q: Use the following information to answer next question. Consider an economy for which y= Ak with the…

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Q: b. Find out the percentage of the limiting population of 75 frogs has been attained after 5 years…

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Q: What is the initial value of the function represented by this graph? 0 1 2

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Q: The following functions give the populations of four towns with time t in years. (i) P = 900(1.13)'…

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Q: 1 Q7: Suppose that the net investment flow is described by the equation I(t) = 6t7, and that the…

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Q: 12. Which of the following best models the population that is continuously decreasing at 2% per year…

A: Given: Population decreasing continuously at 2% per year starting at 25000. Objective is to…

Q: Joe and Jill are selling fishing licenses in two separate booths located in different parts of the…

A: Solution:- Joe and Jill are selling fishing licenses in two separate booths. Booth =2 Total arrival…