HSC Commerce कक्षा १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Evaluate Δ(log ax)

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

If h = 1 then prove that (E^–1Δ)x³ = 3x² – 3x + 1

If f(x) = x² + 3x than show that Δf(x) = 2x + 4

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

Find the missing entry in the following table

Following are the population of a district

Find the population of the year 1911

Find the missing entries from the following.

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Δ²y₀ = 

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Δf(x) =

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E ≡

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If h = 1, then Δ(x²) = 

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If c is a constant then Δc =

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If m and n are positive integers then Δ^m Δⁿ f(x)=

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If ‘n’ is a positive integer Δⁿ[Δ^-n f(x)]

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E f(x) =

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∇ ≡

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∇f(a) =

If f(x) = e^ax then show that f(0), Δf(0), Δ²f(0) are in G.P

Prove that (1 + Δ)(1 – ∇) = 1