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Unformatted text preview: 2 k , 0 ≤ t ≤ 1. Your numerical answer should be in simplest possible form. (9) Find the space curve r ( t ), t ∈ [ a, b ], which represents the curve of intersection of the cylinder x 2 + y 2 = 4 and the plane y + z = 3. You will get some partial credit for correctly sketching the surfaces. You need to ﬁnd both r ( t ) and the interval [ a, b ]. Answers on page 2. 1 Answers (not solutions) (1) u is neither orthogonal nor parallel to v . (2)13 x + 17 y + 7 z + 42 = 0. (3) x =213 t y = 2 + 17 t z = 4 + 7 t (4) (5) S is given by x 2 + y 2 = 4; a (right circular) cylinder. (6) κ = 1 / 29 (the point was incorrectly listed as (0 , , 2) in the ﬁrst version). (7) x =2 t y = 1 z = π 2 + t (8) L = 15 (9) x = 2 cos t y = 2 sin t z = 32 sin t for 0 ≤ t ≤ 2 π . 2...
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This note was uploaded on 10/06/2008 for the course MATH 22 taught by Professor Dodson during the Spring '05 term at Lehigh University .
 Spring '05
 Dodson
 Vectors

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