Exam2Solutions - Math 212 Fall 2011 Name Exam 2 1[18 points(9 pts each(a Find the equation of the tangent plane to the surface B CD at the point a\$(b

# Exam2Solutions - Math 212 Fall 2011 Name Exam 2 1[18...

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Math 212, Fall 2011 Name: __________________________________ Exam 2 1. [18 points (9 pts each)](a) Find the equation of the tangent plane to the surface at the point b (b) Find parametric equations for the line tangent to the curve at the point #>
Math 212, Fall 2011 Exam 2 2 2. 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. 3. Find the distance from the line to the plane .[10 points]
Math 212, Fall 2011 Exam 2 3 4. Let be the plane , and let be the plane . Find the equation of [10 points] T #B\$CD œ& U C\$D œ"" the plane through the point that is perpendicular to both and . a b "ß#ß\$ T U
Math 212, Fall 2011 Exam 2 4 5. [16 points (8 pts each)](a) Evaluate , where is the region inside the cylinder and between the planesI\$##< D.ZIB C œ"D œ!D œ"and ((( . (b) Evaluate , where is the solid hemisphere defined by and .
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