nt6 - MATH 23 Non-Text Problems: Homework 6 due March 5,...

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Unformatted text preview: MATH 23 Non-Text Problems: Homework 6 due March 5, 2010 6-1. Find the first partial derivatives of the functions. x (a) f (x, y ) = ex ln(xy ) (b) f (x, y ) = x cos y 6-2. Find an equation for the tangent plane to the surface z = 4x2 − y 2 at the point (5, −8, 36). 6-3. Use the linear approximation of the function f (x, y ) = √ √ approximate 3 26.98 36.04. √√ 3 x y at (27, 36) to ∂w ∂w 6-4. If w = x2 + y 2 + z 2 , x = st, y = s cos t and z = s sin t, find and when ∂s ∂t s = 1, t = 0. Text Problems to turn in: Friday, March 5: 14.3: 16, 18, 32, 39, 51; 14.4: 2, 4, 19; 14.5: 2, 10, 14, 24 Homework Assignments (Complete): 14.3: 15, 16, 18, 19, 25, 26, 31, 32, 39, 41, 51, 53 14.4: 1, 2, 3, 4, 19, 25, 30 14.5: 1, 2, 3, 5, 7, 10, 13, 14, 23, 24 Text assignments for the remainder of the semester (main and complete) will be available shortly. ...
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