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    Postal Restrictions

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    Postal Restrictions If a box with square cross section is to be sent by the postal service, there are restrictions on its size such that its Volume is given by V= x²(108-4x), where x ist the length of each side of the cross section (in inches).

    (a) Is V a function of x?
    (b) If V= V(x), find V(10) and V(20).
    (c) What restrictions must be placed on x (the domain) so that the problem makes physical sense?

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    Solution Preview

    a) Yes. V is a function of x , The relation is given by V = x^2 (108-4x).
    <br>b) V(10) = 10^2 ( 108 - 4*10) ( replacing x by 10)
    <br> ...