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 9 guntel (54940) 1 This printout should have 5 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find the area under the graph of the func tion f ( x ) = x 2 + 4 x on the interval [1 , 2]. 1. Area = 3 2 + 4 ln 2 correct 2. Area = 4 3 + 2 ln 2 3. Area = 2 + 2 ln 4 4. Area = 3 2 + 2 ln 2 5. Area = 2 + 4 ln 4 6. Area = 4 3 + 4 ln 4 Explanation: By definition, the area under the graph of f ( x ) = x 2 + 4 x = x + 4 x on [1 , 2] is given by integraldisplay 2 1 f ( x ) dx = integraldisplay 2 1 braceleftbigg x + 4 x bracerightbigg dx = bracketleftbigg 1 2 x 2 + 4 ln x bracketrightbigg 2 1 = 3 2 + 4(ln 2 ln 1) . Consequently, Area = 3 2 + 4 ln 2 . 002 10.0 points Find the area bounded by the graphs of f ( x ) = e x , g ( x ) = e 2 x and the line y = 6. 1. Area = 3 2 (6 ln 6 5) sq. units correct 2. Area = 3 4 (6 ln 6 5) sq. units 3. Area = 9 (ln 6 1) sq. units 4. Area =...
View
Full
Document
This note was uploaded on 11/02/2011 for the course CALCULUS 408S taught by Professor Guntel during the Fall '11 term at University of Texas at Austin.
 Fall '11
 GUNTEL

Click to edit the document details