test4_sol_Winter_08

test4_sol_Winter_08 - MATH 2008/09B Test 4 l NAME(PLEASE...

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: MATH 2008/09B Test 4 l\IIarch 18, 2008 NAME(PLEASE PRINT): s:ilJ:D"'~ STUDENT NO.: . Instructions: 1. This test has 4 questions and a total of 40 marks. 2. Calculators are NOT allowed. (Ql) Let the function f(x, y) = e3xy- y2 and the point P(O,-1) be given; (a) [6 Marks] Compute the directional derivative of f at the point P in the direction from the point (2,3) to the point (3,1);-'> (), :::: (3... \"')- (d J :'» c:: ( \ )- .).. "') ~ &( _ (\)_2) _ (.J--3-\ V :::: -- ;;-:-;:-1/- ) r;:: ) liC/ ilf-if ~ v5"-) 3Jd 3~Y) 'J"(~ (f:;>:) fJ):: (3~ e. ~ 3~ e-;).'d ~ (0)- \) ::::(- 3) .;2)---')-> :: "'J f (OJ-I) • 11- f '\1) J(~-J).::;- v;=- .-,-';) :) . 'lJ-------3 !L--l--- ..--- 'IS' l;--« ~ 1:t f( OJ-I) IS~ C~M:e) ! (b) [4 Marks] Find the maximum rate of change of direction in which it occurs . f at the point P and the . ~ \ f (OJ-I) = \ 'V f (Or\) = '(-3.1~) \ ~ ;q;;; ::: \!i3 NDte-- d / I L (), 1'1 :.--- I luLl i))'\f 11.t-"\' ~ 7 n oY YY'CLA/l ie. I'TW-- ~ ~. ) LA. :::: '7F IS aJS6 ole; (Q2)...
View Full Document

This note was uploaded on 05/26/2010 for the course MATH Math2008 taught by Professor Monadi during the Fall '08 term at Carleton.

Page1 / 4

test4_sol_Winter_08 - MATH 2008/09B Test 4 l NAME(PLEASE...

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