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: nanni (arn437) Assignment 17 guntel (54940) 1 This printout should have 7 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Determine f x when f ( x, y ) = x sin( x + 2 y ) + cos( x + 2 y ) . 1. f x = 2 cos( x + 2 y ) x sin( x + 2 y ) 2. f x = 2 x sin( x + 2 y ) 3. f x = x cos( x + 2 y ) correct 4. f x = 2 sin( x + 2 y ) + x cos( x + 2 y ) 5. f x = x sin( x + 2 y ) 6. f x = 2 cos( x + 2 y ) + x sin( x + 2 y ) 7. f x = 2 x cos( x + 2 y ) 8. f x = 2 sin( x + 2 y ) x cos( x + 2 y ) Explanation: From the Product Rule we see that f x = sin( x +2 y )+ x cos( x +2 y ) sin( x +2 y ) . Consequently, f x = x cos( x + 2 y ) . 002 10.0 points Find the slope in the xdirection at the point (1, 2, 2) on the graph of f when f ( x, y ) = xy 2 + x 2 y. Correct answer: 0. Explanation: The graph of f is a surface in 3space and the slope in the xdirection at the point (1, 2, 2) on that surface is the value of the partial...
View
Full
Document
This note was uploaded on 11/02/2011 for the course M 408N taught by Professor Gualdini during the Fall '10 term at University of Texas at Austin.
 Fall '10
 Gualdini
 Calculus

Click to edit the document details