2313-practice-mid2

2313-practice-mid2 - MAC 2313, Fall 2010 — Midterm 2...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MAC 2313, Fall 2010 — Midterm 2 Review Problems 1 We will discuss these problems in class on Friday 10/1 and Monday 10/4. Solutions will be posted on the course webpage over the weekend. 1 Find a vector function that represents the curve of intersection of the cylinder x 2 + y 2 = 16 and the plane x + z = 5. 2 A particle moves with position function r ( t ) = t ln t i + t j + e − t k . Find the velocity, acceleration, and speed of the particle. 3 Compute the position vector for a particle which passes through the origin at time t = 0 and has velocity vector v ( t ) = 2 t i + sin t j + cos t k . 4 Find the arc length of the curve r ( t ) = cos 3 t j + sin 3 t k from t = 0 to t = 1. 5 Consider the curve defined by r ( t ) = ( 4sin ct, 3 ct, 4cos ct ) . What value of c makes the arc length of the curve traced by r ( t ), for 0 ≤ t ≤ 1, equal to 10? 6 Show that if a particle moves at constant speed, then its velocity and acceleration vectors are orthogonal. Note that moving at constant speed doesare orthogonal....
View Full Document

This note was uploaded on 12/10/2011 for the course MAC 2313 taught by Professor Keeran during the Fall '08 term at University of Florida.

Page1 / 2

2313-practice-mid2 - MAC 2313, Fall 2010 — Midterm 2...

This preview shows document pages 1 - 2. Sign up to view the full document.

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