ps3-2009 - 18.02A Problem Set 3 Fall 2009 due Thursday...

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Unformatted text preview: 18.02A Problem Set 3 Fall 2009 due Thursday Dec.3/09, 12:45 in 2-106 Part I (30 points) Lecture 10. Thurs. Nov. 19 Gradients in 3D; tangent planes. Read: rest of 19.5, Notes P Work: 2D - 1b, 2b, 3a, 5bc, 8; 2K - 3a, 5. Lecture 11. Tues. Nov. 20 Max-min problems. Least squares approximation, Read: 19.7 to bottom p.693; Notes LS Work: 2F - 1b, 5, 2G - 1c, 4. Lecture 12. Tues. Nov. 24 Second derivative test. Lagrange multipliers. Read: 19.7, p. 694-5 ; 19.8 Work: 2H - 1ad, 2I - 1a, 4a. No lectures Thursday, Friday: THANKSGIVING Lecture 13. Tues. Dec.1 Chain Rule and applications. Read: 19.6 (skip Example 4) Work: 2E - 1b, 2c, 3b, 5a, 7, 8a Lecture 14. Thurs. Dec.3 Double and iterated integrals in rectangular coordinates Read: 20.1, 20.2 Part II (40 points) Problem 1. (Thursday. 5 pts: 2+3) A shark that detects the presence of blood will respond by moving continually in the direction of the strongest scent, that is, up the gradient. In a test, the concentration of blood at the sea surface in parts perstrongest scent, that is, up the gradient....
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