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Question#4[5+5=10 marks] (a) A thermocouple gives the following output for rise in temperature Tem p (C) 0 10 20 30 40 50 Output (m V)

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Question#4[5+5=10 marks] (a) A thermocouple gives the following output for rise in temperature Tem p (C) 0 10 20 30 40 50 Output (m V) 0.0 0.4 0.8 1.2 1.6 2.0 Find the output of thermocouple for 37"C temperature Using Newton's divided difference formula (b) Apply Lagrange's method to find the value of x when f(x) =5 5 6 9 11 f(x): 12 13 14 16

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