A rectangular package sent by a delivery service can have a maximum combined length and girth (perimeter of a cross section) of 120 inches (see figure). a. Show that the volume of the package is given by the function V(x)=4 x^2(30-x). b. Use a graphing utility to graph the function and approximate the dimensions of the package that yield a maximum volume. c. Find values of x such that V=13,500 . Which of these values is a physical impossibility in the construction of the package? Explain. | Nume
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A rectangular package to be sent by the U.S. Postal Service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. (See figure.) a. Write the volume V of the package as a function of x . What is the domain of the function? b. Use a graphing utility to graph the function. Be sure to use an appropriate viewing window. c. What dimensions will maximize the volume of the package? Explain. | Numerade
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Packaging Postal regulations specify that the combined length a... | Filo
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SOLVED:Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 108 in. Find the dimensions of the cylindrical package of greatest volume that may be sent via priority mail. What is the volume of such a package? Compare with Exercise 11 .
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