Math 212, Fall 2011Name: __________________________________Exam 21. [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 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.3. Find the distance from the line to the plane .[10 points]
Math 212, Fall 2011 Exam 234. Let be the plane , and let be the plane . Find the equation of[10 points]T#B$CD œ&UC$D œ""the plane through the point that is perpendicular to both and .ab"ß#ß$TU
Math 212, Fall 2011 Exam 245. [16 points (8 pts each)](a) Evaluate , where is the region inside the cylinder and between the planesI$##< D.ZIB C œ"D œ!D œ"and (((.(b) Evaluate , where is the solid hemisphere defined by and .