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Posers and Puzzles

Posers and Puzzles

  1. 30 Oct '05 09:40
    Try these...

    1. Divide 12 into two parts so that their product is a maximum.

    2. A piece of wire 24cm long is bent to form a rectangle. Find the dimensions of the rectangle which has the maximum area.

    3. Two numbers differ by 6. If the square of the larger number exceeds twice the smaller number by an amount D, what is the maximum value of D?
  2. Standard member gaurav2711
    walking...
    30 Oct '05 10:19
    Originally posted by elopawn
    Try these...

    1. Divide 12 into two parts so that their product is a maximum.

    2. A piece of wire 24cm long is bent to form a rectangle. Find the dimensions of the rectangle which has the maximum area.

    3. Two numbers differ by 6. If the square of the larger number exceeds twice the smaller number by an amount D, what is the maximum value of D?
    1. 6 x 6 = 36
    2. 6cm x 6cm
    3. Infinty
  3. 30 Oct '05 20:56
    maybe 3. would make more sense, if it was to determine the minimum for D, which is 11 (for x=1 and y=-5)

    How about this:

    split 120 into a sum of two numbers so that the product of the first number with the square of the second number will be max.
  4. 30 Oct '05 21:19
    Originally posted by crazyblue
    maybe 3. would make more sense, if it was to determine the minimum for D, which is 11 (for x=1 and y=-5)

    How about this:

    split 120 into a sum of two numbers so that the product of the first number with the square of the second number will be max.
    40 and 80

    with a max of 40*80^2 = 256000


    Wow I actually used calc for something outside of school. Who would of thought?
  5. Standard member XanthosNZ
    Cancerous Bus Crash
    30 Oct '05 23:33
    Originally posted by crazyblue
    maybe 3. would make more sense, if it was to determine the minimum for D, which is 11 (for x=1 and y=-5)
    What about x=3, y=-3?

    D=0
  6. Donation richjohnson
    TANSTAAFL
    31 Oct '05 00:25
    Originally posted by XanthosNZ
    What about x=3, y=-3?

    D=0
    That yields D=15
  7. Standard member XanthosNZ
    Cancerous Bus Crash
    31 Oct '05 01:05
    Originally posted by richjohnson
    That yields D=15
    I missed the twice.
  8. 01 Nov '05 04:03
    D tends to infinity