calculus

posted by jimmy

I really hate to dump a problem like this on the teachers here, but I really need to get an answer to this. Thank you and I'm sorry.
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of a maximum area if the total perimeter is 52 feet.

  1. jimmy

    Oh, i apologize if this gives the impression I want you to solve it for me. I would just like to know where to start this from, then I can take it from there.

  2. jimmy

    as an answer i used x as the width of the rectange (and diameter of the half circle)and used h as the height of the rectangle. i got the answer of x=.409155 and h= 25.4741. how did i do?

  3. Mac

    I would use 2x as the with and have the radius of the circle be x.
    Your h would equal (1/2)(52-2x-3.14x)
    I think the x and h should be closer
    The closer the numbers, the max the area

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