ECE309-2008-hw1

ECE309-2008-hw1 - (a) Where is the top of the hill located?...

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ECE 3209 — Electromagnetic Fields University of Virginia Fall 2009 Homework # 1 — Review of Vector Analysis Due: Friday, September 4 1. Cheng P.2-5 2. Cheng P.2-8 3. The height of a certain hill (in feet) is given by h ( x,y ) = 10(2 xy - 3 x 2 - 4 y 2 - 18 x + 28 y + 12) where y is the distance (in miles) north and x is the distance (in miles) east of Charlottesville.
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Unformatted text preview: (a) Where is the top of the hill located? (b) How high is the hill? (c) How steep is the slope (in feet per mile) at a point 1 mile north and 1 mile east of Charlottesville? In what direction is the slope steepest at that point? 4. Cheng P.2-21 5. Cheng P.2-23 6. Cheng P.2-24...
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