Correct answer: A = 0, B = – 3 4
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Q67522.If Pn(x) denotes Legendre's polynomial, then the value of P'n+1 (x) – xP'n(x) is equal to
Correct answer: (n + 1) Pn (x)
Q67523.Solution of L.P.P.: Max. z = 3x1 + 4x2 Subject x1 –x2 ≤–1 –x1 + x2≤0 and x1, x2≥0 is:
Correct answer: Non-existent
Q67524.For a set of two linear equations with four variables, the maximum number of basic solutions is:
Correct answer: 6
Q67525.The value of ((()) 2 3 x E ∆ is:
Correct answer: 6x
Q67526.Which of the following option is correct for the relationship between E and ∇ ∇ ∇?
Correct answer: E–1/≡ 1 – ∇
Q67527.If f(x) be a polynomial of degree n in x, then which is correct?
Correct answer: ∆n+1 f(x) = 0
Q67528.The missing value in the following table: x: 0 1 2 3 4 y: 1 3 9 - 81
Correct answer: 31
Q67529.The value of 2 x x 2 x ∆ Ee e. E ∆ e is
Correct answer: ex
Q67530.Which of the following interpolation formula can be used for equal and unequal intervals?
Correct answer: Lagrange's formula
Q67531.The cubic polynomial which takes the following values: x: 0 1 2 3 f(x): 1 2 1 10
Correct answer: 2x3 – 7x2 + 6x + 1
Correct answer: 1.871
Q67533.The difference equation Pn+1 = a Pn+b. Then calculate P2 if P0 = 2, a=3, and b = –1
Correct answer: 14
Q67534.The Newton-Raphson formula for finding the value of N is:
Correct answer: n 1 n n 1 N 2 + = + x x x
Q67535.The third divided difference of f(x) = 1 x at x = a, b, c, d is:
Correct answer: −1/abcd
Q67536.In Simpson's '1' 3 rule, the curve y = f(x) is assumed to be a
Correct answer: Parabola
Correct answer: Only I
Q67538.Which of the following methods is based on Bolzano theorem?
Correct answer: Bisection method
Q67539.The roots of the equation f(x) = 0 obtained by Newton-Raphson method converges if
Correct answer: 2 f '()f ''() 1 [f '()] < x x x
Q67540.Which of the following is not true?
Correct answer: ()() 1 1 1 0 +∆ −∇ + =