This preview shows pages 1–3. 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 4 – 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 A function h has graph 2 4 2 2 4 on ( 3 , 4). If f ( x ) = integraldisplay x − 2 h ( t ) dt, ( x ≥  2) , which of the following is the graph of f on ( 3 , 4)? 1. 2 4 2 2 2 2. 2 4 2 2 2 3. 2 4 2 2 2 4. 2 4 2 2 2 5. 2 4 2 2 2 correct 6. 2 4 2 2 2 Explanation: Since f ( x ) is defined only for x ≥  2, there will be no graph of f on the interval ( 3 , 2). nanni (arn437) – Assignment 4 – guntel – (54940) 2 This already eliminates two of the possible graphs. On the other hand, f ( 2) = integraldisplay − 2 − 2 h ( x ) dx = 0 , eliminating two more graphs. Finally, by the Fundamental Theorem of Calculus, f ′ ( x ) = h ( x ) on ( 2 , 4), so f ( x ) will be increasing on any interval on which h > 0, and decreasing on any interval on which h < 0. To determine0....
View
Full
Document
This note was uploaded on 09/19/2011 for the course M 408 taught by Professor Hodges during the Fall '08 term at University of Texas.
 Fall '08
 Hodges

Click to edit the document details