mid2w - t = 1 . 2. Does the curve defned by the polar...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 126 C - Spring 2007 Mid-Term Exam Number Two May 10, 2007 Name: Section: 1 10 2 10 3 10 4 10 5 10 Total 50 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. Consider the curve defned by the vector equation −→ r ( t ) = a 4 t, 5 t 3 , 2 t 2 A (a) Find the unit tangent vector −→ T ( t ) at the point where t = 1 . (b) Find the parametric equations o± the tangent line the curve at the point where
Background image of page 2
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
This is the end of the preview. Sign up to access the rest of the document.

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 3-dimensional 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 parti-cles acceleration vector. 4. Consider the curve in the xy-plane defned by the position vector Function r ( t ) = a t 2 3 t, t 2 + 2 t A ind the t-value 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 ) ....
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 / 6

mid2w - t = 1 . 2. Does the curve defned by the polar...

This preview shows document pages 1 - 6. Sign up to view the full document.

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