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Unformatted text preview: parallel to the line with parametric equations x = 3 t + 5 , y = t − 6 ? 3. For any m > , the helix determined by the position function v r ( t ) = a cos t, sin t, mt A has constant curvature that depends on m . Find the value of m such that the radius of curvature at any point on the curve is 3. 4. A particle is moving so that its position is given by the vector function v r ( t ) = a t 2 , t, 5 t A Find the tangent and normal components of the particle’s acceleration vector. 5. Reparametrize the curve v r ( t ) = a 5 t − 1 , 2 t, 3 t + 2 A with respect to arc length measured from the point where t = 0 in the direction of increasing t . 6. Let f ( x, y ) = x 2 y + x sin y − ln( x − y 2 ) . (a) Find f y ( x, y ) . (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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