Chapter 14 - Math 4A Castroconde Worksheet 2 Chapter 14...

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

View Full Document Right Arrow Icon
Math 4A – Castroconde Name: Worksheet 2 – Chapter 14 I.D.#: Do your work on separate sheets of paper. Attach this page to your work. 1. Find 5 0 sin( ) lim 2 , , t t t te t . 2. Find the derivative of the vector function 1 () , , t rt t e t = G at t = 1. 3. Find the tangent vector to the curve defined by the vector function 23 tt t = G at the point corresponding to t = 1. 4. Find the unit tangent vector to the curve 2 :( ) s i n ( ) ,2 , Crt t tt = G at the point corresponding to t = 0. 5. The position of a particle at time t is given parametrically by 3 2 3 , 3 tt x yt = = . Show that the particle crosses the y -axis three times. 6. Evaluate 1 2 0 ˆˆ (2 ) ti t j dt 7. Let 2 ( ) 2 , sin( ), cos( ) , ( ) 1, , ut t t t vt t t =− = GG . Find [] d ut vt dt × G G . 8. Find the points on the curve ) 2 , 1 2 t t =+ G where the tangent vector is horizontal or vertical. 9. Consider the curve 22 ) 1 t = G . Find the unit tangent vector, the unit normal vector, and the curvature of C at the point where
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

Chapter 14 - Math 4A Castroconde Worksheet 2 Chapter 14...

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