CEE 305 TEST#1

# CEE 305 TEST#1 - Page 1 of 5 CEE 305 Civil Environmental...

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1 of 5 Professor Duc T. Nguyen; 135 Kaufman (Office #683-3761) Wed., October 12, 2011; 3:00pm – 4:15pm; 1012 BAL Closed Books/Notes; calculator is allowed 1-page (both sides 8.5” x 11”) formulas/examples etc…is allowed Problem 01 Given the following function: 2 4 3 2 2 + - = x xe y x Find the “exact” first derivative of y (=y’) at location x=1? Problem 02 Given the following function: 2 4 3 2 2 + - = x xe y x ; and the step-size = dx = 0.01. Using FORWARD DIVIDED DIFFERENCE formula, find the “approximated” first derivative of y (=y’) at the location x=1? Problem 03 Based on the results obtained from Problems #01 & #02, find the “absolute relative TRUE error” in calculating the first derivative y’, at location x=1? Problem 04 Express the value of 41 (using “base 10”) by using “base 2” (or BINARY method)?? Problem 05

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CEE 305 TEST#1 - Page 1 of 5 CEE 305 Civil Environmental...

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