(1 point) The goal of this problem is to approximatecos2) dt, and determine the amount of error in our approximation. e1 (a) Use the first two nonzero terms of the taylor polynomial for 2 cos(t2) dt to approximate its value t2 cos(t2) dt 1/3-1/14 (b) Determine how close your answer to part (a) is to cos() dt using the error bounds for alternating series. The error is at most
Show transcribed image text(1 point) The goal of this problem is to approximatecos2) dt, and determine the amount of error in our approximation. e1 (a) Use the first two nonzero terms of the taylor polynomial for 2 cos(t2) dt to approximate its value t2 cos(t2) dt 1/3-1/14 (b) Determine how close your answer to part (a) is to cos() dt using the error bounds for alternating series. The error is at most