Calculus Calculus Math Forum

 June 3rd, 2013, 08:41 AM #1 Newbie   Joined: Jun 2013 Posts: 4 Thanks: 0 Finding the volume using Simpson's rule Okay, so I've literally tried everything on this question and I cant seem the get the right answer... The diagram shows part of the curve with equation y=ln(x). The region bounded by the curve y=ln(x), the x-axis and the line x=3 is shaded (basically its the graph y=ln(x) between x=3 and where x=1 is shaded) a) The shaded region is rotated through 360 degrees about the x-axis. Use Simpson's Rule with five ordinates (4 strips) to find an approximation for the volume of the solid generated, give answer to 4 s.f. The answer is 3.238 (4.s.f) btw. Thanks. June 3rd, 2013, 10:16 AM #2 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs Re: Finding the volume using Simpson's rule The volume in question is (using the disk method): Thus, we want to approximate the definite integral: Using Simpson's rule, with we have: Using a calculator, we find: Hence: June 3rd, 2013, 10:27 AM #3 Newbie   Joined: Jun 2013 Posts: 4 Thanks: 0 Re: Finding the volume using Simpson's rule Omg! thank you very much  June 3rd, 2013, 10:43 AM #4 Newbie   Joined: Jun 2013 Posts: 4 Thanks: 0 Re: Finding the volume using Simpson's rule wait how do you type e.g. ln^2(1.5) into the calculator? (ln1.5)^2 ? casue when i plug everything into the my caluclator i get a different asnwer, i get 2.4049 instead of 1.0306.... June 3rd, 2013, 10:53 AM #5 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs Re: Finding the volume using Simpson's rule I entered the command: (1/6)(ln^2(1)+4ln^2(3/2)+2ln^2(2)+4ln^2(5/2)+ln^2(3)) at http://www.wolframalpha.com On my TI-89 Titanium, the command: (1/6)((ln(1))^2+4(ln(1.5))^2+2(ln(2))^2+4(ln(2.5))^2+ (ln(3))^2) [ENTER] returns: 1.03063627092 June 3rd, 2013, 11:20 AM #6 Newbie   Joined: Jun 2013 Posts: 4 Thanks: 0 Re: Finding the volume using Simpson's rule thank you! had a typo :P Tags finding, rule, simpson, volume ,

,

,

,

,

,

,

,

,

,

,

,

,

,

# how to find volume using simpson's rule

Click on a term to search for related topics.
 Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post aaron-math Calculus 1 October 2nd, 2011 11:36 PM aaron-math Calculus 1 September 30th, 2011 05:45 AM khyratmath123 Algebra 4 March 24th, 2010 08:13 AM rakeshkool27 Calculus 4 March 21st, 2010 04:35 PM igodspeed Calculus 1 March 4th, 2009 12:53 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top      