Find symmetric equations for the tangent line to the curve of intersection of the paraboloid zx +y and the ellipsoid 2x +y? +z? 76 at the point (2, 2, 8).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 3E
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Problem 16 on the typed sheet. I also hand wrote it.
16.) Find Seymmetrie eauetion for the fangent
line to the
3=X+y? anl the elliesord zx²+y?+z=76
curve uC Intersection of the parabuloid
Transcribed Image Text:16.) Find Seymmetrie eauetion for the fangent line to the 3=X+y? anl the elliesord zx²+y?+z=76 curve uC Intersection of the parabuloid
f(x, y) = sin(xy), (L, 0)
VFlxy) = yeoscxy)+xcos)
11c0S0)こ1
4. Find f, for f(x, y) = cos(r) dt.
5. Find equation of the tangent plane to the given surface at the specified point.
5x +3y +8z², (3, 6, 5)
O Find symmetric equations for the tangent line to the curve of intersection of the paraboloid
z= x +y and the ellipsoid 2x + y +z 76 at the point (2, 2, 8).
ge 2
Transcribed Image Text:f(x, y) = sin(xy), (L, 0) VFlxy) = yeoscxy)+xcos) 11c0S0)こ1 4. Find f, for f(x, y) = cos(r) dt. 5. Find equation of the tangent plane to the given surface at the specified point. 5x +3y +8z², (3, 6, 5) O Find symmetric equations for the tangent line to the curve of intersection of the paraboloid z= x +y and the ellipsoid 2x + y +z 76 at the point (2, 2, 8). ge 2
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