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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

Maths: Numerical Methods: Multiple choice questions with Answers, Solution and Explanation - Book back 1 mark questions and answers with solution for Exercise Problems

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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12th Business Maths and Statistics : Chapter 5 : Numerical Methods : Choose the correct Answer | Numerical Methods


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