Math Chapter Wise question with answer

Q01 The value of the integral () ∫ 1 2 -1 I = exp x dx Using a rectangular rule is approximated as 2. Then, the approxi... English · Bihar (TRE 1.0) -2023 Q02 Let y be the solution of the initial value problem () () 2 d y + y = 6cos2x,y(0) = 3,y' 0 = 3,y' 0 = 1 dx Let the L... English · Bihar (TRE 1.0) -2023 Q03 Given – X: 0 π 6 π 3 π 2 f(x) = esinx: 1 1.64872 2.3632 2.71828 Then by Simpson’s 3 8 rule, value of ∫ π sinx 6 0 e... English · RPSC PGT 2022 Q04 If y (0) = 3, y (1) = 10, y(2) = 18, y(3) = 30 and y(4) = 50, then value of ∆ ∆ ∆4 y(0) is English · UPPSC GDC 2021 Q05 If Pn(x) denotes Legendre's polynomial, then the value of P'n+1 (x) – xP'n(x) is equal to English · UPPSC GDC 2021 Q06 Let φ:[0, 1] → → → ℝ be three times continuously differentiable. Suppose that the iterates defined by xn+1 = φ(xn),... English · Bihar (TRE 1.0) -2023