For a given vector a E R" and scalar A > 0, show that the following problem 1 minx, ||x – all +A ||x||2 has the optimal solution if ||a||2 A. xopt def 0, 1 ||a|l2.

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A: This is a problem of vector calculus.

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A: Use variable seperable to do this and then integrate this both sides 

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Q: *Use the equation to determine the rental revenue for a theater revenus of 125 million.

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Q: 9. Explain why four vectors is R³ are always linearly dependent.

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A: Questions from sets theory

Q: () 2p n! (a) (") = 2 (mod p), where k for 0 <k <n. k!(n – k)! (b) (Зр - 1)! 2р2 (mod p3)

A: As per our guidelines we are supposed to answer only fast question. Kindly repost other part in the ...

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Q: 1. Consider the function below. f(x) = -4x2 + 8x + 1 (a) Find the critical numbers of f. (Enter your...

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Q: 6. Evaluate u x v, where u = -e, - 2e, + 2e,, v 2e, - 2e, +e,.

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A: cost of laying of the pipeline through water =$300/miles cost of laying of the pipeline over land =$...