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Unformatted text preview: f at the point a = (1 , 0) in the direction of u = i-j . (b) At the point a = (1 , 0), in which direction will f increase fastest, and how fast is it? 4. ( § 2.6 no.18) Find an equation for the tangent plane to the surface given by the equation 2 xz + yz-x 2 y + 10 = 0 at the point ( x ,y ,z ) = (1 ,-5 , 5). 5. ( § 3.1 no.18) Find an equation for the line tangent to the path x ( t ) = (cos( e t ) , 3-t 2 , t ) at t = 1. 1...
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This note was uploaded on 05/04/2011 for the course MATH 1211 taught by Professor Wang during the Spring '11 term at HKU.
- Spring '11
- Multivariable Calculus