What is the maximum value of subject to ?

Answer and explanation

Correct answer: D.

  1. Step 1: Apply Cauchy-Schwarz inequality: .
  2. Step 2: Evaluate coefficients: .
  3. Step 3: Substitute constraint: .
  4. Step 4: Take square root: .
Answer
13.
Why not the others: '' forgets to square coefficients; '' doubles the bound; '' adds directly.

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