251sol2

# 251sol2 - Section 12.3 Page 1 Section 12.4 Page 1 Section...

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

Page 1 Section 12.3

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

View Full Document
Page 1 Section 12.4
Page 2 Section 12.4

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

View Full Document
Page 1 Section 12.5
Page 2 Section 12.5

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

View Full Document
Assignment 2 Multivariate Calculus Math 251 (Fall 2010) A1. Consider the line L in R 2 described parametrically by { r 0 + t v : −∞ < r < ∞} , where r 0 = a x 0 , y 0 A and v = a a, b A . i) Write a formula which gives the distance from the origin to a point on L . Your formula should involve only the constants x 0 , y 0 , a, b and the variable t . ii) Clearly that there is a single value of t which minimizes the distance from the origin to a point on L . Use the Frst derivative test (Section 4.7 of text) to Fnd this optimum value of t (in terms of x 0 , y 0 , a, b ). iii) Substitute your optimum value of t into the distance formula and simplify this as far as possible, to Fnd the minimum distance from the origin to L . iv) Let v be a vector perpendicular to v and write out an expression for comp v r 0 , the scalar projection of r 0 onto v , in terms of the four constants x 0 , y 0 , a, b . v) Explain in your own words why it is not surprising that the answers to parts ii) and
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/13/2010 for the course MATH 251 taught by Professor Unknown during the Spring '08 term at Simon Fraser.

### Page1 / 6

251sol2 - Section 12.3 Page 1 Section 12.4 Page 1 Section...

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

View Full Document
Ask a homework question - tutors are online