Table 11.6 gives , the speed of sound (in m/sec) in water

Chapter , Problem 11.2.47

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Table 11.6 gives , the speed of sound (in m/sec) in water as a function of the temperature (in C).12 (a) An approximate linear formula for is given by = 1402.385+5.038813 . Over what temperature range does this formula agree with the values in Table 11.6 to within 1C? (b) The formula in part (a) can be improved by adding the quadratic term 5.799136 102 2. Repeat part (a) using this adjusted formula. (c) The formula in part (b) can be further improved by adding the cubic term 3.287156104 3. Repeat part (a) using this adjusted formula. (d) The speed of sound in water at 50C is 1542.6 m/s. If we want to improve our formula still further by adding a quartic (fourth-degree) term, should this term be positive or negative? Table 11.6 0 5 10 15 20 25 30 1402.4 1426.2 1447.3 1466.0 1482.4 1496.7 1509.2

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