Calculus

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f(x)=x^2-x+3 , n=6 , a=0, b=3

find LRAM, RRAM, and MRAM

for x is greater than or equal to a or less than or equal to b

  • Calculus -

    You are going to do 6 rectangles between x = 0 and x = 3
    for LRAM, you use the height at the left.
    (I am not going to calculate them for you)
    so use

    f(0)=
    f(.5)=
    f(1)=
    f(1.5)=
    f(2)=
    f(2.5)=
    for the heights
    The base of each rectangle will be 3/6 = .5
    add those all up and multiply by .5

    Now to do it for RRAM
    use:
    f(.5)=
    f(1)=
    ......
    f(3) =
    then add those 6 up and multiply by .5

    o do it for the middle points use
    f(1/4)=
    f(3/4) =
    f(1 1/4) =
    .......
    f(2 3/4 )=
    and again multiply by .5, the base of each rectangle

  • Calculus -

    RRAM:20.99735189
    LRAM:21.72280649

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