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# hw5 - 75 82 87 14.4(1 5 17(19 21(25 28 33 † 38 †(39 †...

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Math 53 Homework 5 Due Wednesday 9/29/10 in section (The problems in parentheses are for extra practice and optional. Only turn in the underlined problems.) Tuesday 9/21 – Partial derivatives, tangent plane, linear approximation Read: section 14.3 to bottom of p. 886; 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: 14.3: (5), 10 , (11), 21 , (35), (39), 40 , 45 , (49), 51 , (59), 73
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Unformatted text preview: , 75 , 82 , 87 . 14.4: (1), 5 , 17 , (19), 21 , (25), 28 , 33 † , 38 † , (39). † For the problems in section 14.4, whenever the book says “use diferentials to estimate . ..”, read “use linear approximation to estimate . ..”. Thursday 9/23 – Chain rule, gradient, directional derivatives • Read: sections 14.5, 14.6. • Work: 14.5: 1 , (5), 7 , 13 , (17), 19 , (23), (39), 43 , 45 , (47), 51 , (53). 14.6: 1 , (7), 9 , (11), (21), 25 , 27 , (37), 38 , (39), 41 , 47 , (49), 54 ....
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