hw4 - 14.3: (5), 10 , (11), 21 , (35), (39), 40 , 45 ,...

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Math 53 Homework 4 Due Tuesday 9/27/11 in section (The problems in parentheses are for extra practice and optional. Only turn in the underlined problems.) Monday 9/19 – Functions of several variables Read: sections 14.1; also 12.6 to the bottom of p. 807; and 14.2 (skip the theory, focus on examples 1–3, the deFnition of continuity, examples 7–8). Work: 14.1: (11), (23), 26 , 29 , (30), 32 , 34 , (35), (39), 42 , 55 , (57), 62 , (66), (74). 14.2: (4), (7), 9 , 13 , (27), (33), 39 , (43). Wednesday 9/21 – Partial derivatives, tangent plane, linear approxima- tion Read: section 14.3 to bottom of p. 886. Work:
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Unformatted text preview: 14.3: (5), 10 , (11), 21 , (35), (39), 40 , 45 , (49), 51 , (59), 73 , 75 , 82 , 87 . Friday 9/23 – Tangent plane, linear approximation • Read: section 14.4 † . † Warning: Please don’t mix diferentials like dz with diferences like Δ x or Δ y . Diferentials don’t take a numerical value, and “ dx = Δ x ” does not make mathe-matical sense. See lecture. • Work: 14.4: (1), 5 , 17 , (19), 21 , (25), 28 , 33 † , 38 † , (39). † Whenever the book says “use diferentials to estimate . ..”, read “use linear approx-imation to estimate . ..”....
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This note was uploaded on 09/28/2011 for the course PSYCHOLOGY 2 taught by Professor ? during the Fall '11 term at Berkeley.

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