mthsc206-fall-2010-exam-study-guide-02

mthsc206-fall-2010-exam-study-guide-02 - Topics for Exam 2...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Topics for Exam 2 2 Vector-valued functions and functions of several variables 2.1 Vector-valued Functions For r ( t ) = f ( t ) i + g ( t ) j + h ( t ) k , how do you compute (a) lim t a r ( t ); (b) r 0 ( t ); (c) Z b a r ( t ) dt ; (d) T ( t ); (e) N ( t ); (f) B ( t ); (g) κ ( t ). How do you compute the arc length of the curve C parameterized by the vector function r ( t ) on a t b ? How do you find the radius of the circle of curvature at a point? How do you find the equation of the circle of curvature at a point? What is ideal projectile motion? What are the parametrizations of this motion? 2.2 Functions of several variables How do you find and graph the domain for a function of two variables? How do you find and graph the domain for a function of three variables? In what space does the domain for a function f ( x,y ) reside? In what space does the range of f ( x,y ) reside? In what space does the graph of the function f ( x,y ) reside? In what space does the domain for a function
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/11/2010 for the course MTHSC 206 taught by Professor Chung during the Fall '07 term at Clemson.

Ask a homework question - tutors are online