(a) Compute 83 (the 3rd partial sum) of s =83 =Estimate =M8Note: if giving a decimal approximation to this part, you may need to enter more digits than usual.(c) Use n = 3 andn=1(b) Estimate the error in using $3 as an approximation of the sum of the series (i.e. use f(x) dx > Rs):to find a better estimate of the sum:20375Sn +IntlSAf(z) dzf(x) dx ≤ s ≤ $n ++ [²1(2) dzf(x)Note give each answer accurate to (at least) five decimal places.

Answered: Image /qna-images/answer/6b3a50af-2c9c-4fcf-8e32-64a1f7396bd4.jpg

(a) Compute $3 (the 3rd partial sum) of s = 83 = Estimate = Note: if giving a decimal approximation to this part, you may need to enter more digits than usual. (b) Estimate the error in using 83 as an approximation of the sum of the series (i.e. use [T (c) Use n = 3 and 00 20 375 to find a better estimate of the sum: n-1 + S0 Sn + <$< f(x) dx > R3): f(x) dx < f(x) dx < s < Sn + + f(2) dz Note give each answer accurate to (at least) five decimal places.