Answered: QUESTION 3 Consider the temperature… | bartleby

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QUESTION 3
Consider the temperature u(x,t) at time t at each point x of a rod length 5, if one of its end is in
contact with ice at 0° and the other end is exposed to warm air at 35°. Assume that initially the rod
is submerged in boiling water at 100°.

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Question 1 in the image attached
For questions (1) – (8) use the following information. You have measured the length of a table to be 205.0 cm, 205.8 cm, 205.4 cm, 204.6 cm, and 204.9 cm five independent times. You measured the width of the same table to be 60.1 cm, 60.4 cm, 60.2 cm, 60.0 cm, and 60.5 cm five independent times. 1) Calculate the mean length L of the table. 2) Calculate the standard deviation of the mean length σ of the table. 3) Calculate the mean width W of the table. 4) Calculate the standard deviation of the mean width ow of the table. 5) Calculate the area A = L x W of the table. 6) Using the correct equation for propagation of error, calculate the uncertainty of the area OA of the table.