Given the data x 1 2 2. 5 3 4 5
f(x) 0 5 7 6. 5 2 0
(a) Calculate f (3.4) using Newton's interpolating polynomi­als of order 1 through 3. Choose the sequence of the points for your estimates to attain the best possible accuracy.
(b) Repeat (a) but use the Lagrange polynomial.

We just started the introduction into circles and i have no idea how to do this.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

Which point has an coordinates of (2,0) ? a