tank contains 100 gallons of water and 50 oz of salt. Water containing a salt concentration of 1 4 (1 + 1 2 sin t) oz/gal flows into the tank at a rate of 2 gal/min, and the mixture in the tank flows out at the same rate. (a) Find the amount of salt in the tank at any time. (b) Plot the solution for a time period long enough so that you see the ultimate behavior of the graph. (c) The long-time behavior of the solution is an oscillation about a certain constant level. What is this level? What is the amplitude of the oscillation?

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Temperature related material properties

Temperature-related properties of materials are the properties that change or show any variation with temperature variations. Various properties of materials include physical properties, mechanical properties, chemical properties, electrical properties, magnetic properties, etc. The chemical, electrical, and magnetic properties of materials are important, but the physical and mechanical properties are more important. Based on their composition and chemical bonding, materials are classified as metals, ceramics, polymers, and composites.