Math Chapter Wise question with answer

Q01 For what values of α and β, the quadrature formula ∫ 1 -1 f(x)dx = αf(-1) + f(β) is exact for all polynomials of de... English · Bihar (TRE 1.0) -2023 Q02 Unique polynomial f(x) of degree 2 or less such that f (0) = 1, 1 f(1) = 3 and f(3) = 55 is English · UPPSC GDC 2021 Q03 If n is an integer, then the value of Pn (– 1), where Pn (x) denotes Legendre's polynomial, is English · UPPSC GDC 2021 Q04 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 Q05 The cubic polynomial which takes the following values: x: 0 1 2 3 f(x): 1 2 1 10 English · UKPSC Lecturer (Mains) 2020 UKPSC GIC 2018 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