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(8) Find the angle of inclination 6 of the tangent plane to the surface 31:3} 7 :3 : U at the point (33 3, 3).
(8) Find the angle of inclination 6 of the tangent plane to the surface 31:3} 7 :3 : U at the point (33 3, 3). (9) Find an equation of the tangent plane (in the standard form cm" + by + c; + (I : 0) and find a parametric equation of the normal line to the surface ,3 = 9 7 $2 7 y2 at the point A. 2: 4). (10) Repeat the previous question with the sphere 3:2 + y? + :52 : 16 and the point 14(3. 72. ) (11) Find a parametric equation of the tangent line to the curve of intersection of the surfaces 2'2 + :52 = 2-5 and yr? 4 2'2 = 25 at the point 44(3, 35 4) Find the angle of intersection of the surfaces at the point A. Hint: The angle of intersection between two surfaces is the angle between normal vectors
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