A box without a top is made from a rectangular piece of cardboard, with dimensions 25 inches by 20 inches, by cutting out square
corners with side length x inches.
Which expression represents the volume of the box in terms of x?
Which expression represents the volume of the box in terms of x?
2 answers:
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If
then
The ODE in terms of these series is
We can solve the recurrence exactly by substitution:
So the ODE has solution
which you may recognize as the power series of the exponential function. Then