math 230 quiz 3 - x = t + 1 ,y = t 2-3 t,z = cos( t ) (a)...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 230 Quiz #3 Fall 2010 Name Section Instructions: You may use your book and notes. You may not work with others. Take as much time as you need. The quiz is due in class on Monday. 1. Consider the curve C given by the following vector-valued function: ~ r ( t ) = D t - 1 ,t, t E . Find all points of intersection of C with the ellipsoid defined by the equation 2 x 2 + y 2 + 2 z 2 = 10 . 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
Math 230 Quiz #3 Fall 2010 2. Consider the space curve C given by the parametric equations:
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x = t + 1 ,y = t 2-3 t,z = cos( t ) (a) Write the parametric equations of the tangent line to C at the point (1 , , 1). (b) Find the unit tangent vector to C when t = 3. (c) Find the normal plane to the curve at the point (2 , ,-1). 2 Math 230 Quiz #3 Fall 2010 3. Calculate the curvature of the curve ~ r ( t ) = 2 3 t 3 ,t 2 ,t + 2 at the point ( 2 3 , 1 , 3). 3...
View Full Document

This note was uploaded on 10/13/2010 for the course MATH 230 at Pennsylvania State University, University Park.

Page1 / 3

math 230 quiz 3 - x = t + 1 ,y = t 2-3 t,z = cos( t ) (a)...

This preview shows document pages 1 - 3. Sign up to view the full document.

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