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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 is 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?

    © BrainMass Inc. brainmass.com November 24, 2022, 11:42 am ad1c9bdddf

    Solution Preview

    V = x^2(108 - 4x)....(1)

    Yes V is a function of x, because the value of V depends on the value of x. x is the independent variable ad V is the dependent variable.

    So we can write, V = V(x) = x^2(108 - 4x)

    V(10) = 10^2(108 - ...

    Solution Summary

    This looks at the restrictions of a function for a given situation (mailing a package).