265Lesson03Problems

265Lesson03Problems - 2 x-y + 2 z = 5. (4) Sketch the...

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MATH 265: MULTIVARIABLE CALCULUS: LESSON 3 PROBLEMS Problems are worth 20 points each. (1) Find an equation for the plane containing the point (1 , 2 , 3) and parallel to the plane x + 2 y + 3 z = 5. (2) Find an equation for the plane containing the points (1 , 1 , 2), ( - 1 , 3 , 5), and (2 , - 1 , 4). (3) Find the cosine of the angle between the normals to the planes x + y + 2 z = 3 and
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Unformatted text preview: 2 x-y + 2 z = 5. (4) Sketch the surface z = x 2 + 2 y 2 . (5) Sketch the surface z = 2 y 2-4 x 2 . (6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Find the point of intersection of the plane x-2 y + 3 z = 11 and the line- r ( t ) = h 1 , ,-2 i + t h 3 ,-1 , 2 i . 1...
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