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Optimization

AP Calculus AB· difficulty 3/5

A Norman window (rectangle topped by a semicircle) has perimeter PP. To maximize area, the rectangle width ww relates to the height hh via

  • A

    h=wh = w

  • B

    h=w/2h = w/2

    check_circle
  • C

    h=πw/2h = \pi w/2

  • D

    h=2wh = 2w

Explanation

Standard optimization result: h=w/2h = w/2 (the rectangle is twice as wide as it is tall).

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