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Problem Questions with Answer, Solution | Numerical Methods - Exercise 5.1: Finite Differences | 12th Business Maths and Statistics : Chapter 5 : Numerical Methods

Chapter: 12th Business Maths and Statistics : Chapter 5 : Numerical Methods

Exercise 5.1: Finite Differences

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Exercise 5.1

1. Evaluate Δ(log ax) .



2. If y = x3  x2 + x 1 calculate the values of y for x = 0,1,2,3,4,5 and form the forward differences table.



3. If h = 1 then prove that (E1 Δ)x3 = 3x2  3x + 1 .



4. If f (x= x2 + 3x than show that Δ f (x= 2x + 4



5. Evaluate Δ [1 /  (x + 1)( x + 2 ) ] by taking ‘1’ as the interval of differencing



6. Find the missing entry in the following table




7. Following are the population of a district


Find the population of the year 1911



8. Find the missing entries from the following. 

 



Answers:


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12th Business Maths and Statistics : Chapter 5 : Numerical Methods : Exercise 5.1: Finite Differences | Problem Questions with Answer, Solution | Numerical Methods


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