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quiz7solutions-1 - 2 §14.7#9b(7 points Find all points on...

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Unformatted text preview: 2. §14.7,.#9b (7 points): Find all points on the surface 2 = x2 - mg + y2 — 21‘ + 4y at which the tangent plane is horizontal. Note that the tangent plane is horizontal precisely when any normal vector to it is vertical (i.e., parallel to the vector k =< O, 0, 1 >). “M2 ($57) "rifl- <£X)£Y1-L> H <0,0) 3L7 m—d Math 241. Quiz 7. 3/25/09. Name: 0 Read problems carefully. Show all work. 0 There are 15 points total. 1. §14.7, #1 (8 points): Find an equation for the tangent plane to the surface 2 = ((17,111) = 42:33}? + 23/ at the point P( 1, —2, 12). You do not have to simplify your equation; 1a ‘ Way/l ) ix (L74) = ”1121-02)“ 2 4‘6 167“ 397+?) flyum = 3-Lgc—2)+;z 5.4+ 5.47 ”who . z r 12 Mia-1.34% +2) on l‘Wx—L) -)+(ym-(%~m :0) ...
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