 My Math Forum verify that the given point is on the curve and find the lin

 Calculus Calculus Math Forum

 December 11th, 2010, 07:25 AM #1 Senior Member   Joined: Oct 2009 Posts: 895 Thanks: 1 verify that the given point is on the curve and find the lin verify that the given point is on the curve and find the lines that are ( a ) tangent (b) normal to curve at the given point ? x^2 + xy - y^2 = 1 point ( 2,3) >>>> a ) 2x +xy'+y-2yy' = 0 y' = -2x - y / x - y m = y' = -2(2) - 3 / 2-2(3) = 1.75 the Eqation of tangent .. is : y-3 = 1.75(x-2 ) about (b) how i solve it ? December 11th, 2010, 08:41 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: verify that the given point is on the curve and find the You are given the curve and the point (2,3). To verify that the point is on the curve, make sure To find the line tangent to the curve at the given point, find y': Somehow you got the correct slope, but your formula for y' was slightly wrong. With the slope and the point, we have: I recommend putting the line into y = mx + b form: To find the normal line, use the fact that when two slopes are perpendicular, what is their product? Tags curve, find, lin, point, verify ,
,

,

,

,

,

# verify that the point is on the given curve

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 Shamieh Calculus 3 October 8th, 2013 09:06 PM odyssey Calculus 10 October 1st, 2013 06:33 PM who192 Calculus 1 November 17th, 2012 08:39 AM wuzhe Algebra 1 September 4th, 2012 04:25 PM imcutenfresa Calculus 4 September 16th, 2009 06:53 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top      