Use the Leading Coefficient Test to determine the end behavior of the graph of the given...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function f(x) = - 6x4 + 5x? - - X+7 Choose the correct answer below. O A. The graph of f(x) falls to the left and falls to the right OB. The graph of f(x) falls to the left and rises to the right O C. The graph of f(x) rises to the left and rises to the right OD. The graph of...
In 2 Use the formula t= that gives the time for a population, with a growth rate k, to double, to answer the following questions. The growth model A=70.0071 describes the population, A. of a country in millions, tyears after 2003. a. What is the country's growth rate? The half-life of a certain tranquilizer in the bloodstream is 38 hours. How long will it take for the drug to decay to 84% of the original dosage? Use the exponential decay...
X 1.5 The following table shows the number of cell phone subscriptions in a country in billions for selected years x after 2005. 2005 2006 2007 2008 2009 2010 у 0.4 3.8 7.2 9.3 9.7 (a) Find a function C(x) that models the data, where x is years after 2005. (b) Predict the number of cell phone subscriptions in 2012. (a) Select the correct choice below and fill in the answer boxes within your choice. (Round to two decimal places...
3. The graph below has axes to show the population sizes of a predator and its prey. The dashed lines are the predator and prey isoclines. Prey Population Starting at the circle, draw in what will happen to the two populations if they are following the pattern in the Lotka-Volterra model of predation. (Remember that BOTH predator and prey numbers are represented by a point on the graph.) Use a series of arrows to show what happens. 2. Imagine two...
a. 12 In 2000, the population of a country was approximately 5.61 million and by 2069 it is projected to grow to 12 million. Use the exponential growth model A = Ag ekt, in which t is the number of years after 2000 and Ao is in millions, to find an exponential growth function that models the data. By which year will the population be 13 million? Projected b. Population (millions) 2000: 5,610,000 6- 0+ 1950 1970 1990 2010 2030...
Use matlab a) Create a simulated data set b) Create a set of plots to determine the best transformation to linearize the data c) Fit a first order polynomial (y mx + b) to the linearized data to find the constants m and b d) Reconstruct the original equation from m and b in the linear fitted polynomial e) Plot the fitted equation. Radioactive decay is modeled by the equation: rt where A the amount of mass as a function...
The bar graph on the right shows the average cost of room and board at four-year public and private colleges for four selected years from 2011 through 2017. The data can be modeled by f(x) 967x + 3469 and g(x) 3950 e134x in which f(x) and g(x) represent the average cost of room and board at public four-year colleges in the school year ending x years after 2010. Use these functions to complete parts (a) through (c) below. Average Cost...
Exercises 1. Verify equation (3) 2. Use the techniques of Section 13.7 and the fact that P(0) = 10 to solve equation (5). 3. The carrying capacity of Atlantic harp seals has been estimated to be C = 10 million seals. Let 1 = 0 correspond to the year 1980 when this seal population was estimated to be about 2 mil- lion. (Data from: Fisheries and Oceans Canada.) (a) Use a logistic growth model = kP(C - P) with k...
The bar graph on the right shows the average cost of room and board at four-year public and private colleges for four selected years from 2011 through 2017. The data can be modeled by f(x) = 960x + 3456 and g(x) = 3874 e 0.135x in which f(x) and g(x) represent the average cost of room and board at public four-year colleges in the school year ending x years after 2010. Use these functions to complete parts (a) through (c)...
help 1-6 thank you Fill in the blank so that the resulting statement is true. If log 5x + log 5(x + 2) = 2, then log 5 = 2 If log 5X + log 5(x + 2) = 2, then log 5 = 2. Rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm and then round to three decimal places.. y = 94(3.5)* Express the answer in terms of a natural...