Need help with this question. Thank you :) Consider the function f(x)=exp(x). Let pe P₁ be the interpolation polynomial for the data x=(0,1) and y=(exp(0),exp(1)). Determine the value1O a. s=0.589O b. s=0.859c. s=0.895O d. s 0.958e. s=0.985O f. s=1.589g. s=1.859h. s=1.895up to three decimal places.Hint: You can compute the desired value brute force. Alternatively, you can go back to the lecture notes and identify where this construction occurs, and whichsimple formula gives the desired value.O i.O j.S :=s=1.958s=1.985Sp(x)dx

Let P1 be the interpolating polynomial for the data (0,1) and (e0,e1). To Find: ∫01P1(x)dx using…

Consider the function f(x)=exp(x). Let p=P₁ be the interpolation polynomial for the data x=(0,1) and y=(exp(0),exp(1)). Determine the value = 1² O a. s=0.589 O b. s=0.859 O c. s=0.895 O d. s 0.958 O e. s=0.985 O f. s-1.589 O g. s=1.859 Oh. s-1.895 O i. O j. S = up to three decimal places. Hint: You can compute the desired value brute force. Alternatively, you can go back to the lecture notes and identify where this construction occurs, and which simple formula gives the desired value. s=1.958 s=1.985 p(x)dx