L35 More Calculus with Parametric and Polar Curves

L35 More Calculus with Parametric and Polar Curves - r = 1...

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Lecture 35: More Calculus with Para- metric and Polar Curves Find the slope of the tangent line to the given polar curve at the point speci±ed by the value of ± . ex. 1. r = 2 ± sin ± , ± = ² 3 ( 2 ± p 3 1 ± 2 p 3 ) 1
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ex. 2. r = 1 + 2 cos ± , ± = ² 3 ( p 3 9 ) 2
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Find the points on the given curve where the tangent line is horizontal or verti- cal. ex.
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Unformatted text preview: r = 1 sin (HTL at( 1 2 ; 6 ) ; ( 1 2 ; 5 6 ) ; ( 1 2 ; 3 6 ) : VTL at ( 3 2 ; 7 6 ) ; ( 3 2 ; 11 6 ) ; (0 ; 2 )) 3 ex. r = e (HTL at( e 3 4 ; 3 4 ) ; ( e 7 4 ; 7 4 ) : VTL at ( e 4 ; 4 ) ; ( e 5 4 ; 5 4 )) 4...
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This note was uploaded on 02/14/2012 for the course MAC 2312 taught by Professor Bonner during the Spring '08 term at University of Florida.

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L35 More Calculus with Parametric and Polar Curves - r = 1...

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