2. In the following market model, p is price, qº is quantity demanded and qs is quantitysupplied:9=3-2p.and9³ = -1 + 4p.Suppose that the market does not clear instantaneously, but that price increases whenthere is excess demand and decreases when there is excess supply:p = ½ (9² - 9³),where p(b)Write out a first-order differential equation of p.

Given: qD=3-2pandqS=-1+4p p˙=12qD-qS, where p˙≡dpdt. We have to write a first-order differential…

Answered: . In the following market model, p is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The annual expenditure for cell phones varies by the age of an individual. The average annual expenditure E(a) (in $) for individuals of age a (in years) is given below:a: 20, 30, 40, 50, 60, 70E(a): 502, 658, 649, 627, 476, 2131. Use quadratic regression to find the model that best represents the data.2. At what age is the yearly expenditure for cell phones the greatest? Round the answer to the nearest year. YOU MUST SHOW THE WORK FOR THIS PART!
The teenage birthrate in the United States has declined since 1995 as shown to the right. Let B be the American teenage birthrate (number of births per 1000 women ages 15-19) at t years since 1995. a. Find an equation of a linear model to describe the data. b. Predict the teenage birthrate in 2020. Then predict the number of births to women in 2020, assuming that there will be 11,007,000 women ages 15-19 in that year. c. Predict in which years the birthrate will be less than 11.4 births per 1000 women ages 15-19. Birthrate (number of births per 1000 women ages 15-19) Year 1995 56.0 2000 47.7 2005 40.5 2010 34.3 2015 24.2 a. Using the points (0,56.0) and (10,40.5), the equation of linear model is B = (Use integers or decimals for any numbers in the expression.) Enter your answer in the answer box and then click Check Answer.
SOLVE STEP BY STEP IN DIGITAL FORMAT 3. Is the series 2n convergent or divergent? Hint: quotient criterion
In 1992, the moose population in a park was measured to be 3790. By 1999, the population was measured again to be 3440. If the population continues to change linearly: A.) Find a formula for the moose population, P, in terms of t, the years since 1990. P(t) = B.) What does your model predict the moose population to be in 2009?
A snow shovel company forecasts demand that shows strong seasonality by quarter. The linear trend can be estimated by the equation y(t) = 1000 + 1000t. The forecasts start with t = 0, which corresponds with Q1 of 2021 (Jan - Mar). t = 1 corresponds to Q2 of 2021 (Apr - Jun) and so on. The seasonal relatives for Q1 = 1.5, Q2 = 0.5, Q3 = 1, Q4 = 2. What is the seasonalized forecast for Q2 of 2022.
Q13) assume the final regression equation from the stepwise regression analysis of the dependent variable cost (C) and the 10 potential independent variables is as follows: C = -5000 + 75 D + 0.4 S - 130 PT + 100 NE Given that the final model is valid, interpret the coefficient of S: On average, with each additional MWe of net capacity, the construction cost _____ while keeping other variables constant. A) decreases by $0.4 B) increases by $400,000 C) increases by $0.4 D) decreases by $400,000

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