A rectangle has its base on the -axis and its two upper vertices on the curve , symmetric about the -axis. The maximum possible area is:

Answer and explanation

Correct answer: A.

  1. Step 1: With vertices at , the area is .
  2. Step 2: gives for .
  3. Step 3: .
Answer
32.
Why not the others: uses half the base; and come from using the wrong or forgetting the factor 2 for the full base.

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A rectangle has its base on the x -axis and… | Victorian VCE