If a box with a square cross section is to be sent by a delivery service, there are restrictions on its size such that its volume is given by V = x 2 (108 − 4x), where x is the length of each side of...

If a box with a square cross section is to be sent by a delivery service, there are restrictions on its size such that its volume is given by

V = x²(108 − 4x),

where
x
is the length of each side of the cross section (in inches).

(a) Is
V
a function of
x?

Yes,
V
is a function of
x.No,
V
is not a function of
x.

(b) If

V = V(x),

find
V(6) and
V(20). (If
V
is not a function of
x, enter DNE.)

V(6)	= in³
V(20)	= in³

(c) What restrictions must be placed on
x
(the domain) so that the problem makes physical sense? (Enter your answer using interval notation. If
V
is not a function of
x, enter DNE.)

Jun 05, 2022

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If a box with a square cross section is to be sent by a delivery service, there are restrictions on its size such that its volume is given by V = x 2 (108 − 4x), where x is the length of each side of...

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