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Unformatted text preview: f ( t ), g ( t ), h ( t ) ( ) , it is tangent to the curve and points in the direction of motion. 3. If you graph a r t ( 29 with its tail at the point f ( t ), g ( t ), h ( t ) ( ) , it will point to the concave side of the curve. ex. r ( t ) = sin t , t In this example is there any point at which a particle on this path is at rest? Do: Let r ( t ) = ln t , 1 + t , 1 , t > 0 Find v t ( ) , a r t ( 29 , and speed at t = 3. Integration: r ( t ) = i sin tj + e t k . Find r ( t ) . Then suppose r ( ) = 3, 1,  1 . ex. t i + et j + 1 t 2 k 1 4 dt Do: Let a ( t ) = 1 t iet j2 t 3 k . Find r ( t ) if v 1 ( ) = 0, 1 e , 2 and r 1 ( ) = 1, 1, 1 ....
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 Fall '08
 DONTREMEMBER
 Geometry, Equations, Derivative, Parametric Equations, 2 K, 3 k, Vectorvalued function

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