 My Math Forum need help with linear approximation problem
 User Name Remember Me? Password

 Calculus Calculus Math Forum

 November 1st, 2011, 03:42 PM #1 Newbie   Joined: Nov 2011 Posts: 1 Thanks: 0 need help with linear approximation problem Use linear approximation to estimate the value of f(3.1), given that f(3)=9 and f '(x) = (5x^2) / (sqrt(x^3-2)) Please help !  November 2nd, 2011, 12:32 AM #2 Senior Member   Joined: Aug 2011 Posts: 334 Thanks: 8 Re: need help with linear approximation problem f(x+dx) = f(x) + ( f ' (x) )*dx approximately x+dx = 3.1 x =3 dx =0.1 f(x) = f(3) = 9 compute f ' (x) = f ' (3) thanks to the given formula then compute f(x) + ( f ' (x) )*dx November 2nd, 2011, 01:33 AM #3 Senior Member   Joined: Oct 2011 From: India ???? Posts: 224 Thanks: 0 Re: need help with linear approximation problem Let . Then: Integral becomes November 2nd, 2011, 01:35 AM #4 Senior Member   Joined: Oct 2011 From: India ???? Posts: 224 Thanks: 0 Re: need help with linear approximation problem Sorry I went wrong with the last step. November 2nd, 2011, 03:11 AM #5 Senior Member   Joined: Aug 2011 Posts: 334 Thanks: 8 Re: need help with linear approximation problem Hello Etyucan, you forgot the integration constant. The correct analytical result is : 9+(10/3)sqrt[(x^3)-2] - (10/3)sqrt[(3^3)-2] = (10/3)sqrt[(x^3)-2] -(23/3) = 9.90572329283767 for x=3.1 But isn't what pdeep needs to answer to his problem. Linear approximation is much simpler and suffisant : the resul is close to the exact value. Tags approximation, linear, problem 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 RGNIT Calculus 0 March 20th, 2014 11:21 PM 84grandmarquis Applied Math 2 October 20th, 2013 04:50 PM Luckyy Calculus 2 February 24th, 2011 05:43 PM TsAmE Calculus 1 April 26th, 2010 03:33 PM shango Calculus 1 October 27th, 2009 02:45 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top      