Suppose we have two 1 metre long rods. Each rod has a temperature of 0° on its left end with the temperature increasing linearly to 10° at its right end. The rods are placed end-to-end so that the left end of one rod touches the right end of the other rod, thus giving us (effectively) a 2 metre long rod with a discontinuous starting temperature. Question 2: Let f(x) be the (instantaneous) temperature of the joined rod immediately when the two smaller rods are joined. (So 0 < x < 2). f(x) will be a piece-wise function. What is this function? ( something | somethingelse if some other condition is met if some condition is met Note: piece-wise functions look like f(x) =

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