Exam2Solutions - Math 212, Fall 2011 Name: _ Exam 2 1. [18...

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Math 212, Fall 2011Name: __________________________________Exam 21.[18 points (9 pts each)](a) Find the equation of the tangent plane to the surfaceat the point.b
(b) Find parametric equations for the line tangent to the curveat the point.ra bab> œØ>ß$/ ß/ Ù!ß$ß"sin>#>
Math 212, Fall 2011Exam 222.In the figure to the right, a circle of radius 1 is[10 points]tangent to a perpendicular pair of line segments.Find thecoordinates of the center of the circle.LParen10,0RParen1LParen13,1RParen13.Find the distance from the lineto the plane.
Math 212, Fall 2011Exam 234.Letbe the plane, and letbe the plane.Find the equation of[10 points]T#B$CD œ&UC$D œ""the plane through the pointthat is perpendicular to bothand.ab"ß#ß$TU
Math 212, Fall 2011Exam 245.[16 points (8 pts each)](a) Evaluate, whereis the region inside the cylinderand between the planesI$##< D.ZIB C œ"D œ!D œ"and(b) Evaluate, whereis the solid hemisphere defined byand.(((.
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