Richard had a 550-piece puzzle with an image of a crossword puzzle. He took out a handful of the pieces to examine, and found the following number of letters on the pieces.
1, 4, 6, 6, 1, 4, 4, 6, 6, 1
Assuming that the sample was representative of the puzzle, what was the mean number of letters on a piece of the puzzle?

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)