calculus

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A rectangle piece of cardboard twice as long as wide is to be made into an open box by cutting 2 in. squares from each corner and bending up the sides. (a) Express the volume V of the box as a function of the width W of the piece of cardboard (b) find the domain of the function.

Thanks!

  • calculus -

    Length = 2W (inches)
    Width = W (inches)
    Height = 2 inches
    V(W)=Length*Width*Height
    =2W*W*2
    =4W²
    The minimum width of the box is 4 inches, which results in a box of zero volume.
    Thus the domain of V(W) is [4,∞].

  • calculus -

    Thanks MathMate!

  • factors -

    well i would find a factor of something by dividing numbers from 1 to 10 and figure it out by dividing it up

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