Numerical Methods - Choose the correct Answer | 12th Business Maths and Statistics : Chapter 5 : Numerical Methods
Chapter: 12th Business Maths and Statistics : Chapter 5 : Numerical Methods
Choose the correct Answer
Choose the correct Answer
1. Δ2 y0 =
(a) y2 − 2 y1 + y0
(b) y2 + 2y1 − y0
(c) y2 + 2y1 + y0
(d) y2 + y1 + 2 y0
2. Δ f (x) =
(a) f ( x + h)
(b) f ( x) − f ( x + h)
(c) f ( x + h ) − f ( x)
(d) f ( x) − f ( x − h)
3. E ≡
(a) 1 + Δ
(b) 1 − Δ
(c)1 + ∇
(d) 1 − ∇
4. If h=1, then Δ ( x2 ) =
(a) 2x
(b) 2x −1
(c) 2x + 1
(d) 1
5. If c is a constant then Δ c =
(a) c
(b) Δ
(c) Δ2
(d) 0
6. If m and n are positive integers then Δm Δn f (x) =
(a) Δ m +n f ( x)
(b) Δ m f ( x)
(c) Δ n f ( x)
(d) Δm −n f ( x)
7. If ‘n’ is a positive integer Δn [Δ−n f ( x) ]
(a) f ( 2x)
(b) f ( x + h)
(c) f ( x)
(d) f ( x)
8. E f (x) =
(a) f ( x − h)
(b) f ( x)
(c) f ( x + h)
(d) f ( x + 2h)
9. ∇ ≡
(a) 1+E
(b) 1-E
(c)1 − E−1
(d) 1 + E−1
10. ∇f ( a ) =
(a) f ( a) + f ( a − h)
(b) f ( a) − f ( a + h)
(c) f ( a) − f ( a − h)
(d) f ( a)
11. For the given points ( x0 , y0 ) and ( x1 , y1 ) the Lagrange’s formula is
Ans: (a)
12. Lagrange’s interpolation formula can be used for
(a) equal intervals only
(b) unequal intervals only
(c) both equal and unequal intervals
(d) none of these.
13. If f ( x) = x2 + 2x + 2 and the interval of differencing is unity then Δf ( x)
(a) 2x − 3
(b) 2x + 3
(c) x + 3
(d) x − 3
14. For the given data find the value of Δ3y0 is
(a) 1
(b) 0
(c) 2
(d) –1
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