If m and n are positive integers then ∆m ∆n f(x) = _______ (a) � – InterviewSolution

InterviewSolution

1.	If m and n are positive integers then ∆m ∆n f(x) = _______ (a) ∆m + n f(x) (b) ∆m f(x)(c) ∆n f(x) (d) ∆m - n f(x)
Answer» The correct answer is : (a) ∆^{m + n}f(x)

Discussion

No Comment Found

Related InterviewSolutions

E is a _____(a) shifting operator (b) Displacement operator (c) 1 + ∆ (d) all of these (e) none of these
For the given points (x0 , y0 ) and (x1, y1 ) the Lagrange’s formula is ______(a) y(x) = (x - x1)/(x0 - x1)y0 + (x - x0)/(x1 - x0)y1(b) y(x) = (x1 - x)/(x0 - x1)y0 + (x - x0)/(x1 - x0)y1(c) y(x) = (x - x1)/(x0 - x1)y1 + (x - x0)/(x1 - x0)y0(d) y(x) = (x1 - x)/(x0 - x1)y1 + (x - x0)/(x1 - x0)y0
∇ f(a) = ______ (a) f(a) + f(a – h) (b) f(a) – f(a + h) (c) f(a) – f(a – h) (d) f(a)
If f(x) = x2 + 2x + 2 and the interval of differencing is unity then ∆ f(x) _______ (a) 2x – 3 (b) 2x + 3 (c) x + 3 (d) x – 3
If h = 1 then prove that (E-1 ∆) x3 = 3x2 – 3x + 1.
If c is a constant then ∆c = ______ (a) c (b) ∆ (c) ∆2(d) 0
If h = 1, then ∆(x2) = ________ (a) 2x (b) 2x – 1 (c) 2x + 1(d) 1
∇ = _______ (a) 1 + E (b) 1 – E (c) 1 – E-1 (d) 1 + E-1
Evaluate (log ax)
E = ______ (a) 1 + ∆ (b) 1 – ∆ (c) 1 + ∇ (d) 1 – ∇