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Mathematics, 28.02.2021 01:00 quickestlearner6171

According to a shipping company’s regulations, the girth plus the length of a parcel they transport for their lowest rate may not exceed 120 inches, where by girthwe mean the perimeter of the smallest end. Suppose that we want to ship a parcel that has a square end of width xand an overall length of y, both measured in inches. 1.)Label the provided picture, using x for the length of each side of the square end, and y for the other edge of the package. 2.) How does the length plus girth of 120 inches result in an equation (often called a constraint equation) that relates x and y? Explain, and state the equation. 3.)Solve the equation you found in b) for one of the variables present. 4.)Now determine the volume, v, of the package as a function of a single variable. 5.)What is the domain of the function v in the context of the physical setting of the problem? (Hint: what’s the maximum value of x ? The maximum value of y?)

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