Find the minimum and maximum squared distance between the sphere x² + y² + z² = 9 and the point (2,3,4) in three-dimensional space using the method of Lagrange multipliers.

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Q: 10. Find the power series solution of a. (3-x²)y"-3xy' - y = 0 b. 2y" + (x + 1)y' + 3y = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

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Q: 1. Prove each of the following results: (a) |z − w|=|w-z, Vw, z = C (b) ||z − w|| ≤|zw|, Vw, z C -…

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