This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: yearold grandmother, who can only negotiate a slope with a grade of twentyFve percent or less. Will she be able to start walking uphill with you, or will you have to abandon her to ensure your cucumber sandwiches do not get soggy? 3. [10 marks] Suppose a = (1 , 2 , 3) and h : R 3 R is a C 1 function such that h ( a ) = 3 and h ( a ) = (2 , 4 , 5) . Compute d dt p h ( t 3 , 3 t 2 1 , h ( t, 2 , t + t 2 + t 3 ) ) P when t = 1. 1 4. (a) [5 marks] Consider the set C R 3 which is the solution of the system of equations arctan( x ) + ( y + 1) 5 = ( z + 1) 3 x 4 cos( x ) + z 2 = 1 + ( x 3) y. Show that in a neighbourhood of the origin, y and z can be represented as functions of x . (b) [5 marks] Find the line tangent to C at the origin. Give it as a subset of R 3 . 2...
View
Full
Document
This note was uploaded on 10/21/2010 for the course MATHEMATIC MAT237Y1 taught by Professor Romauldstanczak during the Fall '09 term at University of Toronto Toronto.
 Fall '09
 RomauldStanczak
 Calculus, Derivative, Multivariable Calculus

Click to edit the document details