Please solve all parts I In Problems 27-32, give a possible formula for the function.27.y28.y(2, 12)18(2, 8)х29.y30.y(2, 18)8(1,4)(1,6)-231.y32.y4(-1,8)(1, 2)(1, 2)

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Answered: 27. y (2, 12) 3

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x) = −0.00022x3 + 0.014x2 − 0.0033x + 12.236 percent where x is the number of years since 2000, data from 0 ≤ x ≤ 50. 1. Determine the value of x in the domain 0 ≤ x ≤ 50 for which the percentage is predicted to be increasing most rapidly (Round your answer to three decimal places). 2. Thus, in which year is the percentage is predicted to be increasing most rapidly? 3. Calculate the percentage at that time. (Round your answer to two decimal places.) 4. Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.)
When it comes to bacteria growing by binary fission, its generation time will be the time interval required for the cells to divide. The formula for generation time would be G=t/3.3log(b/B). G would represent the generation time t represents the time interval in hours, minutes b represents the number of bacteria at the end of a time interval B is the number of bacteria at the beginning of the time interval a) What would be the generation time of the bacteria population that increases from 103 - 106 cells of 5 hours of growth b)If the growth interval was 4 hours and the generation time was for 18 minutes; what would be the increase in the bacteria population?
Suppose the Marginal product of labor in the economy is given by MPN= .002(16,000-N), while the supply of labor is N=1000 + 1000w. Find the market clearing real wage rate and level of employment. What happens to the wage rate and employment if wealth rises, reducing the supply of labor to N= 500 + 1000w? As in (a), what is the unemployment rate if real wage is 1 more than the equilibrium wage? (hint: solve the real wage and then add it by 1, then find the difference of quantity of labor supplied and demanded).
Suppose that Evelyn’s utility function is given as: U(x,y) = xyEvelyn has an income of Php 100. For simplicity purposes, the prices of both goods are equal to one. Suppose that because of President Beybiem’s failed policy to control prices, the price of good x increases to Php 2.00. To do damage control of the failed policy, the Department of Social Welfare and Social work was tasked to calculate how much should the people, including Evelyn, be compensated. (Hint: Use Evelyn’s expenditure function E(p,U).
Suppose that the output Q (in units) of a certain company is Q = 75K^1/3L^2/3, where K is the capital expenditures in thousands of dollars and L is the number of labor hours. Find ∂Q/∂K when capital expenditures are $2,744,000 and the labor hours total 2744. Interpret ∂Q/∂K. If labor hours remain at 2744 and K increases by $1000, Q will increase about how much?? Find ∂Q/∂L when capital expenditures are $2,744,000 and the labor hours total 2744. (Round your answer to the nearest whole number.) Interpret ∂Q/∂L. If…
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A company is considering a new manufacturing process in one of its plants. The new process provides substantial initial savings, with the savings declining with time x according to the rate-of-savings function S'(x)=200-x^2 where x is measured in years and S′(x) in thousands of dollars per year. At the same time, the cost of operating the new process increases with time x according to the rate-of-cost function (in thousands of dollars per year) C'(x)=0.3x^2+20/3x a. to maximize savings, for how many years should the company use the new process? b. Use Desmos to check your answer from part (a): Build up a graph and shade the appropriate area that corresponds to the maximum savings. c. What is the net savings 8 years after the process has been implemented? 12 years after? d. Use Desmos to check your answer from part (c): Build up a graph and shade the appropriate area that corresponds to the maximum savings.
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