# hw1-sol - = °(c Sine curve µ = 0 Section 12.3 Problem 6...

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Assignment 1 Due: Sept. 14 before class Section 12.1 Problem 6: Final position (1, -1, -3). Problem 8: The graph is a plane parallel to the xz-plane, through the point (0, 1, 0). Problem 30: The distance from any point (0, y, 0) to the point (a, b, c) is ? = ? 2 + ±? − ²³ 2 + ? 2 . Therefore, the closest point will have y=b in order to minimize the distance. The resulting distance is ? = ´? 2 + ? 2 . Section 12.2 Problem 2: The match is: (a)-(I), (b)-(V), (c)-(IV), (d)-(II), (e)-(III). Problem 16: The graph (IV) best fits this information. Problem 24: (a) Parabola: ² = ? will do as long as ? is not a multiple of ° . (b) Straight line: ²

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Unformatted text preview: = ° . (c) Sine curve: µ = 0 . Section 12.3 Problem 6: The contour, where ² = −µ + ? /3 , is the graph of the straight line of slope -1. Problem 10: The contour where ¶±µ , ²³ = ² − µ 2 = ? is the graph of the parabola ² = µ 2 + ? , wich vertex ± 0, ?³ and symmetric about the ²-axis. Problem 24: The match is (a) I (b) IV (c) II (d) III Problem 32: (a) The isothermal curves are (b) Wherever we put the bug, it should go straight toward the hottest spot – the origin. Its direction of motion is perpendicular to the tangent lines of the level curves, as can be seen in last figure....
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## This note was uploaded on 03/21/2010 for the course AMS 261 taught by Professor Fortmann during the Fall '08 term at SUNY Stony Brook.

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hw1-sol - = °(c Sine curve µ = 0 Section 12.3 Problem 6...

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