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Unformatted text preview: t . (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 satises Laplaces equation: u xx + u yy = 0. 4. Given f ( x, y ) = y p 1 x + cos( xy ) P , nd 2 f yx and 2 f y 2...
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- Spring '08