2. For the given functions f(x), let Xo 1,x 1.25, and.xy = 1.6. Construct interpolation polynomials of degree at most one and at most two to approximate f(1.4), and find the absolute error. a. f(x) = sin 7x

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A: Let's find.

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A: Solution

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Q: Q1: Use third order Lagrange interpolation to Find the value of f(x) when x = 27

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Q: Use the fplot command to plot the function f(t) = Vlcos(3x)+ sin (4x) in the domain -25 x S2.

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Q: 2. Given that f(x) = 6 1-a find and simplify f 2²4) Show all of your work clearly.

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A: Given function is: fx=3x3,x≤1ax+5,x&gt;1 We know that a function is continuous at any point x=c if,…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.