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Unformatted text preview: Section 2.3, Exercise 4(d) Show that the following function is dierentiable at each point in its domain. Determine if the function is C 1 . f ( x,y ) = xy p x 2 + y 2 . 5. (10 Points) Section 2.3, Exercise 8(c). Compute the matrix of partial derivatives of the function f ( x,y ) = ( x + y,xy,xy ) . 6. (10 Points) Section 2.3 Exercise 10. Why should the graphs of f ( x,y ) = x 2 + y 2 , and g ( x,y ) =x 2y 2 + xy 3 be called tangent at (0 , 0) ? 7. (15 Points) Section 2.4, Exercise 18. Suppose that a particle following the path c ( t ) = ( e t ,et , cos( t )) ies o on a tangent at t = 1 . Compute the position of the particle at time t 1 = 2 ....
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 Spring '08
 Ramakrishnan
 Math, Calculus, Linear Algebra, Algebra

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