Unformatted text preview: ≤ t ≤ π . (d) Find the unit tangent and normal vectors ( T and N ) to the path at time t = 0. (e) Find the curvature of r ( t ) at the point (0 , 1 , 1). 2. Find the tangential and normal components of the acceleration of r ( t ) = e-t i + 2 t j + e t k at t = 0. 3. Find all constants a and b such that u ( x, y ) = cos( ax ) e by satis±es Laplace’s equation: u xx + u yy = 0. 4. Given f ( x, y ) = y p 1 x + cos( xy ) P , ±nd ∂ 2 f ∂y∂x and ∂ 2 f ∂y 2...
View Full Document
This note was uploaded on 02/15/2011 for the course MATH 2300 taught by Professor Staff during the Spring '08 term at Missouri (Mizzou).
- Spring '08