If f(x) = 2a² – 4x + 6, find f'(4). Use this to find the linear approximation to f(x) at x = 4. The equation of this linear approximation is L(x) = Use L(x) to approximate f(4.4). (Compute the actual value of L(4.4).) f(4.4) = Compare this with the actual value of f(4.4)

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Q: 1. (a). Find the linear approximation to f(x) = VT at r = 81, (b). use it to approximate V85. (c).…

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A: topic - linear approximation of a function

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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.