A roof membrane (α = 0.000 120 in/in-°F) will be installed on a flat roof. Once installed, the membrane will be allowed to expand and contract freely. On a hot summer day, the lemperature of the roof membrane can rise to 140°F. In the winter, the temperature of the roof membrane can fall to 0°F. Due to the configuration of the roof expansion joint, expansion is limited to 4.5 in and contraction is limited to 3.0 in.
(a) Determine the maximum length the membrane can be if it is installed at a temperature of 35°F.
(b) Determine the maximum length the membrane can be if it is installed at a temperature of 95°F
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