hw33 - 1 2/14/11 HW 33 : Parametric Surfaces cont.(16.6)....

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HW 33 : Parametric Surfaces cont.(16.6). 1/5 www.webassign.net/web/Student/Assignment-Responses/last?dep=3285349 Current Score : 20 / 20 Due : Tuesday, November 22 2011 11:00 PM EST 1. 2.22/2.22 points | Previous Answers SCalcET6 16.6.AE.09. Video Example Tutorial Online Textbook EXAMPLE 9 Find the tangent plane to the surface with parametric equations x = u 2 , y = v 2 , z = u + 4 v at the point ( 3 , 1 , 7 ). SOLUTION We first compute the tangent vectors: r u = x u i + y u j + z u k = i + k r v = x v i + y v j + z v k = j + 4 k Thus a normal vector to the tangent plane is r u × r v = = i - 8 u j + k Notice that the point ( 3 , 1 , 7 ) corresponds to the parametric values u = 3 and v = 1 , so the normal vector there is -2 -2 i - 24 j + 12 k HW 33 : Parametric Surfaces cont.(16.6). (Homework) Rachel Pereira MA 261 Fall 2011, section 031, Fall 2011 Instructor: Jonathan Montano Web Assign The due date for this assignment is past. Your work can be viewed below, but no changes can be made. i
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hw33 - 1 2/14/11 HW 33 : Parametric Surfaces cont.(16.6)....

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