Numerical Methods - Miscellaneous Problems | 12th Business Maths and Statistics : Chapter 5 : Numerical Methods
Chapter: 12th Business Maths and Statistics : Chapter 5 : Numerical Methods
Miscellaneous Problems
Miscellaneous Problems
1. If f ( x) = eax then show that f ( 0), Δ f ( 0), Δ2 f ( 0) are in G.P
2. Prove that i) ( 1 + Δ )( 1 - ∇) = 1 ii) Δ ∇ = Δ − ∇ (iii) E ∇ = Δ = ∇E
3. A second degree polynomial passes though the point (1,-1) (2,-1) (3,1) (4,5). Find the polynomial.
4. Find the missing figures in the following table
5. Find f ( 0.5) if f ( −1) = 202, f ( 0) = 175 , f (1) = 82 and f ( 2) = 55
6. From the following data find y at x = 43 and x = 84
7. The area A of circle of diameter ‘d’ is given for the following values
Find the approximate values for the areas of circles of diameter 82 and 91 respectively.
8. If u0 = 560, u1 = 556, u2 = 520, u4 = 385, show that u3 = 465
9. From the following table obtain a polynomial of degree y in x
10. Using Lagrange’s interpolation formula find a polynomial which passes through the points (0, –12), (1, 0), (3, 6) and (4,12).
Answers:
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