This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 ) ....
View
Full Document
 Spring '07
 Smith
 Math, Parametric equation, MidTerm Exam Number

Click to edit the document details