Hilary is given the pattern 2, 4, 6, 8, 10,. on her test. She has to find the 50th term of the pattern. To do so she needs to describe the pattern either with words, a recursive formula, or an explicit formula. Which would be the best? Make sure you also explain why the forms you do not choose are not good representations.

(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.

What is the volume of the sphere shown below with a radius of 3?

25 ! the line of best fit is h = 5a + 86. predict the height at age 16. show your work.