Mid2o - 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

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 126 C, D - Spring 2006 Mid-Term Exam Number Two May 11, 2006 Name: Section: 1 10 2 10 3 10 4 10 5 10 6 10 Total 60 Complete all questions. You may use a scientifc, non-graphing calculator during this examination. Other elec- tronic devices are not allowed, and should be turned oFF For the duration oF the exam. IF you use a trial-and-error or guess-and-check method, or read a numerical solution From a graph on your calculator, when an algebraic method is available, you will not receive Full credit. You may use one hand-written 8.5 by 11 inch page oF notes. Show all work For Full credit. You have 50 minutes to complete the exam. .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
1. Find the slope of the tangent line to the polar curve r = 1 θ , θ > 0 at the point where it intersects the cartesian curve x 2 + y 2 = 1 9 .
Background image of page 2
2. At what point(s) is the tangent line to the curve x = t 3 3 t, y = t 2 + 2 t
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the 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 increas-ing 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

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.

Page1 / 7

Mid2o - 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

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online