Find a vector function which describes the intersection of the two surfaces given. Use Geogebra3d to plot these surfaces and your answer to check that they match. 5. [P] Find a vector function which describes the intersection of the two surfaces given. Use Geogebra3d to plot these surfaces and your answer to check that they match. (a) The sphere r2 + y? + z2 = 25 and the plane z = 3 %3D (b) The circular cylinder r2 + z2 = 4 and the plane r+y- 3z = 6 (c) The parabolic cylinder y = r² – 2 and the elliptic paraboloid z = 1² + y? (d) The circular cylinder (z - 3)² + y² = 9 and the parabolic cylinder z = %3D (e) The planes 2r -y+3z =1 and z+5y - 2z 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find a vector function which describes the intersection of the two surfaces given. Use Geogebra3d
to plot these surfaces and your answer to check that they match.
5. [P] Find a vector function which describes the intersection of the two surfaces given. Use Geogebra3d
to plot these surfaces and your answer to check that they match.
(a) The sphere r2 + y? + z2 = 25 and the plane z = 3
(b) The circular cylinder r2 + z? = 4 and the plane r+y- 3z = 6
(c) The parabolic cylinder y = r? – 2 and the elliptic paraboloid z = x2 + y?
(d) The circular cylinder (r- 3)2 + y? = 9 and the parabolic cylinder z =
(e) The planes 2r- y+3z =1 and z+ 5y- 2z = 6
%3D
%3D
Transcribed Image Text:Find a vector function which describes the intersection of the two surfaces given. Use Geogebra3d to plot these surfaces and your answer to check that they match. 5. [P] Find a vector function which describes the intersection of the two surfaces given. Use Geogebra3d to plot these surfaces and your answer to check that they match. (a) The sphere r2 + y? + z2 = 25 and the plane z = 3 (b) The circular cylinder r2 + z? = 4 and the plane r+y- 3z = 6 (c) The parabolic cylinder y = r? – 2 and the elliptic paraboloid z = x2 + y? (d) The circular cylinder (r- 3)2 + y? = 9 and the parabolic cylinder z = (e) The planes 2r- y+3z =1 and z+ 5y- 2z = 6 %3D %3D
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