notes001 (24)

notes001 (24) - r ( & 1) Solution: The sketch...

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September 23, 2009 NAME________________________________ r ( t ) = t + 2 ; 2 t 2 + t + 1 ± , a. Sketch the curve over the parameter interval 2 ± t ± 2 . b. Compute r 0 ( t ) . c. On the sketch that you drew in part a, sketch the position vector r ( 1) . d. On the sketch that you drew in part a, sketch the tangent vector
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Unformatted text preview: r ( & 1) Solution: The sketch of the curve is shown below. It can be obtained by making a ( t; x; y ) table and/or by using a graphing calculator. We easily see that r ( t ) = h 1 ; & 4 t + 1 i and that r ( & 1) = h 1 ; & 2 i and r ( & 1) = h 1 ; 5 i . These vectors are shown on the sketch below. 1...
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