The world record for the 100 m sprint is 9.77 s. How long would it take to run 1 m at this speed?

(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.

Use sigma notation to represent the following series for 9 terms.

Solve the system of equations. x=-2y+1 and x+2y=9. show work