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.

6. Find the best fit by a first degree polynomial for the following data: ( ) -3 -1 0 2 y 8 5 4 1

Find y(4.5) if a second-degree polynomial is fitted to the following data: (1, 1.1), (1.5, 1.3), (2, 1.6), (2.5, 2), (3, 2.7), (3.5, 3.4), (4, 4.1). Round-off to four decimals.

Fit a second order polynomial to the following data i 1 2 3 4 6. 0.5 1.0 1.5 2.0 2.5 y 0.25 1.0 2.25 4.0 6.25

Please answer this question quick, thank you!

The upward velocity of a rocket is given as a function of time in Table 1. Table 1. Velocity as a function of time. t (s) v(t) (m/s) 10 227.04 15 362.78 20 517.35 22.5 602.97 30 901.67 Using a second order polynomial interpolant for velocity and find the velocity of the rocket at t=16 seconds.

Table 1 Temperature as a function of resistance. R (ohm) T (°C) 1101.0 11.3 911.3 20.131 636.0 35.120 451.1 48.128 Determine the temperature corresponding to 754.8 ohms using Newton's divided difference method of interpolation and a 3rd order polynomial.

1. True or false. Two polynomial functions that are subtracted together result in a polynomial function. a. True b. False

The question is attached. Please answer the question as soon as possible. Please provide a complete mathematical reasoning for your answer.

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