1. Joined
    21 Apr '05
    Moves
    54
    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 membergaurav2711
    walking...
    ...back
    Joined
    21 Aug '05
    Moves
    27002
    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. Joined
    29 Apr '05
    Moves
    827
    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. Joined
    12 Aug '05
    Moves
    2866
    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 memberXanthosNZ
    Cancerous Bus Crash
    p^2.sin(phi)
    Joined
    06 Sep '04
    Moves
    25076
    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. Donationrichjohnson
    TANSTAAFL
    Walking on sunshine
    Joined
    28 Jun '01
    Moves
    63101
    31 Oct '05 00:25
    Originally posted by XanthosNZ
    What about x=3, y=-3?

    D=0
    That yields D=15
  7. Standard memberXanthosNZ
    Cancerous Bus Crash
    p^2.sin(phi)
    Joined
    06 Sep '04
    Moves
    25076
    31 Oct '05 01:05
    Originally posted by richjohnson
    That yields D=15
    I missed the twice.
  8. Joined
    23 Jul '05
    Moves
    2290
    01 Nov '05 04:03
    D tends to infinity
Back to Top