Please show works on all steps taken to get to the answer!

1. Compute the Maclaurin polynomials of degree one, two, and three for x) = 34". 2. Compute the Taylor polynomial EU) for x) 2 arctan x about the point c = 1. 3. Compute the Maclaurin polynomial M3[x) for x) 2 (1 + x) 31?. 4.{a) Compute the Maclaurin polynomial M2 (at) for x) 2 cos x. {13) Use the polynomial of part (a) to estimate cos %. (c) Use a calculator to compute the error made using the estimate from part (b) 31' for the value of cos E. Remember that the error is defined to be the absolute value of the difference between the true value and the estimate. 5. Let Mn (x) be the nth Maclaurin polynomial for x) = 2" as given in the text. Use the error formula to determine a value of n: so that |Mn (2) 82|