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 (E−1 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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