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Unformatted text preview: x = e tt, y = 4 e t 2 ,8 t 3 Sol (1). Find dy/dx dy/dx = dy/dt dx/dt = 2 e t 2 e t1 (2). Find the length of the curve. Recall the formula for the length of the parametric curve : Length L = R p ( x ) 2 + ( y ) 2 dt where x ,y are the derivatives of x and y with respect to t . By what we got in (1),we have L= R 38 q ( e t1) 2 + (2 e t 2 ) 2 dt = Z 38 p e 2 t2 e t + 1 + 4 e t dt = Z 38 p ( e t + 1) 2 dt = Z 38 ( e t + 1) dt = ( e t + t )  83 = e 8e3 + 11 (1)...
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This note was uploaded on 02/23/2010 for the course MATH 221 taught by Professor Staff during the Spring '08 term at Tulane.
 Spring '08
 staff
 Equations, Parametric Equations

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