Chapter 5: Numerical MethodsNovember 22, 2025 Maven Leave a Comment Welcome to the Chapter 5: Numerical Methods Quiz! Name Email 1. $E\equiv$ $1+\Delta$ $1-\Delta$ $1+\nabla $ $1-\nabla $ None 2. If ‘n’ is a positive integer $\Delta^{n}\left[ \Delta^{-n} f(x)\right]$ $f(2x)$ $f(x+h)$ $f(x)$ $\Delta f(x)$ None 3. $\Delta f(x)=$ $f(x+h)$ $f(x)-f(x+h)$ $f(x+h)-f(x)$ $f(x)-f(x-h)$ None 4. If c is a constant then $\Delta c =$ $c$ $\Delta$ $\Delta^{2}$ $0$ None 5. If m and n are positive integers then $\Delta^{m}\Delta^{n} f(x)=$ $\Delta^{m+n} f(x)=$ $\Delta^{m} f(x)=$ $\Delta^{n} f(x)=$ $\Delta^{m-n} f(x)=$ None 6. $\nabla\equiv $ $1+E$ $1-E$ $1-E^{-1} $ $1+E^{-1} $ None 7. $E f(x)=$ $E f(x-h)=$ $E f(x)=$ $E f(x+h)=$ $E f(x+2h)=$ None 8. $\nabla f(a) =$ $ f(a)+f(a-h)$ $ f(a)-f(a+h)$ $ f(a)-f(a-h)$ $ f(a)$ None 9. If h=1, then $\Delta x^{2}=$ $2x$ $2x-1$ $2x+1$ $1$ None 10. $\Delta^{2}y_0=$ $y_2 − 2y_1 + y_0$ $y_2 + 2y_1 - y_0$ $y_2 +2y_1 + y_0$ $y_2 +y_1 + 2y_0$ None 11. If $f(x)=x^{2}+2x+2$ and the interval of differencing is unity then $\Delta f(x)$ $2x-3$ $2x+3$ $x+3$ $x-3$ None 12. Lagrange’s interpolation formula can be used for equal intervals only unequal intervals only both equal and unequal intervals none of these None 13. For the given data find the value of $D^3 y_0 isx56911y12131518 $1$ $0$ $2$ $-1$ None 14. For the given points $(x_0, y_0) \; and\; (x_1, y_1)$ the Lagrange’s formula is $y(x)=\frac{x-x_1}{x_0-x_1}\; y_0\: +\; \frac{x-x_0}{x_1-x_0}\; y_1$ $y(x)=\frac{x_1-x}{x_0-x_1}\; y_0\: +\; \frac{x-x_0}{x_1-x_0}\; y_1$ $y(x)=\frac{x-x_1}{x_0-x_1}\; y_1\: +\; \frac{x-x_0}{x_1-x_0}\; y_0$ $y(x)=\frac{x_1-x}{x_0-x_1}\; y_1\: +\; \frac{x-x_0}{x_1-x_0}\; y_0$ None Time's upRelated Posts:Chapter 12: Mathematical Methods for EconomicsChapter 12: Introduction to Statistical Methods and…Chapter 10 : Recruitment MethodsChapter 1: Introduction to Micro Economics
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