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Unformatted text preview: t = 1 . 2. Does the curve defned by the polar equation r = sec + tan intersect the vertical line x = 2 ? Explain. 3. Suppose a particle is moving in 3dimensional space so that its position vector is r ( t ) = a t, t 2 , 1 t A . (a) Find the tangential component of the particles acceleration vector at time t = 1 . (b) Find all values of t at which the particles velocity vector is orthogonal to the particles acceleration vector. 4. Consider the curve in the xyplane defned by the position vector Function r ( t ) = a t 2 3 t, t 2 + 2 t A ind the tvalue oF the point oF maximum curvature on this curve. 5. Let f ( x, y ) = xe y ln( x + y ) . (a) Sketch the domain of f . (b) Find f xy ( x, y ) ....
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This note was uploaded on 05/07/2008 for the course MATH 126 taught by Professor Smith during the Spring '07 term at University of Washington.
 Spring '07
 Smith
 Math

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