MATH 2425 SPRING: PRE-LAB DUE WEEK OF ? 1. Announcements Forgetting or getting the time wrong is not grounds for a makeup exam. 2. TAYLOR POLYNOMIALS AND ERROR IN TAYLOR SERIES (PRE LAB) (1) Compute the Ist degree Taylor polynomial Ti(x) of f(x) = 2x4 + 3x3 + x2 + x + 1 at a = 0 (i.e., centered at 0). Show your work. (2) Compute the exact error Ri(x) = f(x) - Ti(2). (3) Compute the 2nd degree Taylor polynomial T2(x) of f(x) = 2x4 + 3x3 + x2 + x + 1 at a =0 (i.e., centered at 0). Show your work. (4) Compute the exact error R2(x) = f(x) - T2(x). (5) Compute the 3rd degree Taylor polynomial T3(x) of f(x) = 2x4 + 3x3 + x2 + x + 1 at a = 0 (i.e., centered at 0). Show your work. (6) Compute the exact error R3(x) = f(x) - T3(x).MATH 2425 SPRING: PRE-LAB DUE WEEK OF ? (7) Compute the 4th degree Taylor polynomial Ta(2) of f(x) = 2x* + 3x3 + x2 + x + 1 at a = 0 (i.e., centered at 0). Show your work. (8) Compute the exact error RA(x) = f(2) - TA(2). (9) Use Desmos or another graphing package to print/draw the functions cosa and the function ps (x) = 1 - 2x2 + 2124 on the interval -3.5 X x