Problems 65–72, use a graphing calculator to graph the given examples of the various cases in Table 1 on page 354.
69. Limited growth:
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- Answer the problems completely. Round off your answers up to four decimal places, with correct units and box or encircle them. Thank u!arrow_forward9. The population of Center City is modeled by exponential function f, where xis the number of years after the year 2015. The graph of f is shown on the grid. Center City 250,000 0 400,000 300,000 200,000 0arrow_forward#5arrow_forward4arrow_forwardQuestion 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400 and was increasing at a at roughly 9200 people per year. The average annual income in the area was $30,593 per capita, and this average was increasing at about $1400 per year. Use the product rule to estimate the rate at which total personal income was rising in the area at this time. Explain the meaning of each term in the product rule. Question 6 Use Logarithmic differentiation to prove the product rule and the quotient rule. Hint: Let f(x) = A(x)B(x) and g(x) = C(x)/D(x) to start then take the natural log of both sides of each equation and then take the derivative of both sides of the equation. Question 7 Use Logarithmic differentiation to find the derivative of a" for a positive constant a.arrow_forward40. A. As the years go by, the lemur population approaches 100 B. As the number of lemurs increase, the maximum population will be attained in 100,000 years C. as the number of lemurs increase, the maximum population will be attained in 100 years D. As the years go by, the lemur population apporaches 100,000arrow_forwardQuestion 1 Identify the following function as an exponential, linear, or power function y = 530(2.75%) o exponential o linear power Question 2 Identify the following function as an exponential, linear, or power function y = 530(x².75) o exponential o linear o power Question 3 Identify the following function as an exponential, linear, or power function y = 530(2.75x) o exponential o linear o power Question 4 Indicate if the function represents exponential growth or exponential decay. y = 238e-0.46t o exponential growth o exponential decayarrow_forwardQUESTION 3 Mr Lee keeps 1000 USD in a bank. The amount of money rises by W = 1000(1.09)t after t years. Calculate: 1) The amount of money after 5 years. 2) The time is taken, t, in years, for the money to rise from 1000 USD to 1200 USD.arrow_forwardpage. 1. A bacteria colony initially has 4000 cells and triples every week. A function that can be used to model the population, p, of the colony after t days is a. p(t) = 4000(3)' с. %3D p(t) = 4000(3) 7 b. P(t) = 4000(2) d. p(t) = 4000(2) 7 %3D An investment of $100 is placed into an account that earns interest ompounded onnuolly € 50/ 6C.arrow_forward77. Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given as in Table 4.33. x P(x) 3 0.05 4 0.40 5 0.30 6 0.15 7 0.10 Table 4.33 On average, how many years do you expect it to take for an individual to earn a B.S.?arrow_forwardQUESTION 1 Assume that sales for year “n" were 12 units and a forecast of sales for that year had been 10 units and you want to make a simple exponential smoothing forecast of sales for period “n+1." If alpha equals 0.6 the forecast for year "n+1" would be 11 11.2 10.8 11.5 12.2arrow_forward(Question 1.) Suppose you open an account at Amos Bank on January 1, 2022. Interest is compounded yearly and t years later your account will have A (t) = 300(1.012)' dollars. %3D d.) Suppose A(m) = 320. Explain what m means in this context and approximate m up to 2 decimals by graphing.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage