Assume that u - v = 2, ||u|| = 8, and ||v|| = 3. Calculate the value of (9u + v) · (u – 8v). %3D (Give your answer as a whole or exact number.)

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A: Explanation of the answer is as follows

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A: This question can be solved using the concept of approximation using derivatives.

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A: Solution : please see this image for detail analysis :

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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.