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All remaining questions refer to the following scenario.- Suppose we have two 1 metre long rods. Each rod has a temperature of 0 on its

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All remaining questions refer to the following scenario.- 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: (1 Point) Let x) be the (instantaneous) temperature of the joined rod immediately when the two smaller rods are joined. (So 0 S a: S 2). f(?) will be a piece-wise function. What is this function? something if some condition is met N t : ' - ' t" l k l'k = a e piece mse func ions 00 a e x) {somethingelse if some other condition is met Hint: Hone Desmos ( or similar software) draw a picture of your answer and make sure it agrees with the description in the boat. Maybe hand-drain a sketch of the smaller rods and the combined rod rst. Question 3: (1 Point) Extend f('.L') from question 2 to make an even function named f '(a') What is this extended function? Hint: Use Desmos to visually check your working

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