2. The table below shows the U.S population for the years 1970-2000: Year 1980 1990 2000 2010 Ppoulation (in millions) 100 160 210 200 Find cubic polynomial (polynomial of degree 3) that fits the data.

75. Balance of payments: The graph shown represents the balance of payments (surplus versus deficit) for a large county over a 9-yr period. Use it to answer the following: a. What is the minimum possible degree polynomial that can model this graph? b. How many years did this county run a deficit? c. Construct an equation A Balance 10 (10,000s) model in factored form and in polynomial form, adjusting the lead coefficient as needed. How large was the deficit in year 8? 8 6 2 -6 -8 10 (9.5.-6) Year 2 3 4 5 6 7 8 9 10

The population growth of a city during a ten year period is shown in the table. Population Growth (hundreds of people) |-10 Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 -4 |-6 20 60 126 224 360 1999 2000 a) Sketch a graph of the data, using the years since 1990 as the values of the independent variable. b) If x represents the number of years since 1990 (with 1990 being year 0), write the polynomial function that models the data. c) Explain the trends in population growth of the city.

The table below shows the RPI from 2009 until 2012 with two base years. The row Base 2000 shows the RPIbased on 2000. It is a standard practice to restart the index. Hence, the RPI indices were restarted again on2010 and the indices were shown in the row Base 2010.Year 2009 2010 2011 2012Base 2000 130.2 133.1  X  157.3Base 2010 97.8 100.0 110.1 118.2Which of the following expressions shows the index of 2011 based on 2000,  or in other words find X ?A. 100.0;B. 133.1;C. 146.5;D. 120.9

6. 2. Quiz #7 Consider the following graph of a polynomial: -4 -2 4. 0. - -0- -20 Write the factored form of the equation of the most appropriate polynomial. Submit Assignr

The table shows the U.S. populations for the years 1970, 1980, 1990, and 2000. (Source: U.S. Census Bureau)(a) Find a cubic polynomial that fits the data and use it to estimate the population in 2010. (b) The actual population in 2010 was 309 million. How does your estimate compare?

esttaker/viewtest.html Unit 4 1 * Text-to-Speech 1. Classify the following polynomial by degree and by the number of terms 3 7x + 2x+ 3x + 9 ' A. cubic trinomial B. linear binomial C. cubic polynomial D. quadratic trinomial E. quadratic polynomial Powered by Linklt! 100%

2. The number of bacteria in a Petri dish increases by 18% every hour. If there were initially 200 bacteria placed in the Petri dish, which function can be used to determine the number of bacteria in the Petri dish in y = 200 (0.82)* exactly x hours? y = 200 (1.18)" y = 200 (1.82)* 200 (0.18)"

What is Legendre's Polynomial for n =9?

The Brazilian Amazon rain forest is the world’s largest tropical rain forest, with some of the greatest biodiversity of any region. In 2012, the number of trees cut down in the Amazon dropped to its lowest level in 20 years. The line graph (see attached) shows the number of square kilometers cleared from 2001 through 2012. The data in the line graph can be modeled by the following third- and fourth-degree polynomial functions (see attached): Then Solve; a. Use the Leading Coefficient Test to determine the end behavior to the right for the graph of f. b. Assume that the rate at which the Amazon rain forest is being cut down continues to decline. Based on your answer to part (a), will f be useful in modeling Amazon deforestation over an extended period of time? Explain your answer. c. Use the Leading Coefficient Test to determine the end behavior to the right for the graph of g. d. Assume that the rate at which the Amazon rain forest is being cut down continues to decline. Based on your…