Assignment02 - City University of Hong Kong Electronic...

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HW2-1 City University of Hong Kong Electronic Engineering Semester B 2007-2008 EE3108 Engineering Analysis Assignment 2 Deadline: 5:00pm, 22 Feb 2008 (Room G6354) Please put down your name, university ID and the time-slot of your tutorials. 1. Consider the equation: x x = cos -------(1). (a) Without using a computer, sketch an accurate curve for y = cos x and y = x in the range of x = 0 to π /2. Mark the x-intercepts, y-intercepts and the intersection of the two lines. (b) Perform fixed-point iterations to find the solution. Use a handheld calculator to fill the following form until 2 significant figures of the root are obtained. Remember to use the radian mode of the calculator. Iteration x 0 0 1 2 3 4 : : (c) On the plot of Part (a), indicate the iterations up to step 3. (d) Show that Eqn (1) does not diverge for any initial guess between 0 and π /2. 2. The following equation governs an important parameter x of an optical waveguide: x x V x 2 2 2 tan = -------(2). where
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This note was uploaded on 01/11/2011 for the course EE 3108 taught by Professor Nelsonszechunchan during the Spring '07 term at City University of Hong Kong.

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Assignment02 - City University of Hong Kong Electronic...

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