Explain the following observation referring to the appropriate process of heat transfer in each case two cups of tea are poured at the same time . they are left for 10 minutes . one of the cups has a metal teaspoon left in it . the tea in this Cup is cooler than the tea in the other Cup at the end of the 10 minute period

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(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)