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). Given: f(x,y) = -x² – y² + 4. a) Draw an accurate graph of the portion of f(x,y) that is above the xy – plane. b) Describe the 2D shape of the footprint of the surface you drew. Be specific. c) Find a) Vf(x,y). b)\ƒ(1,1). a) Vƒ(x,y) = b) Vƒ(1,1) =

). Given: f(x,y) = -x² – y² + 4. a) Draw an accurate graph of the portion of f(x,y) that is above the xy – plane. b) Describe the 2D shape of the footprint of the surface you drew. Be specific. c) Find a) Vf(x,y). b)\ƒ(1,1). a) Vƒ(x,y) = b) Vƒ(1,1) =

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 27E
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(d) , (e) and (f) please
10. Given: f(x,y) = -x² – y² + 4. a) Draw an accurate graph of the portion of f(x,y) that is above the xy – plane. b) Describe the 2D shape of the footprint of the surface you drew. Be specific. c) Find a) Vf(x,y). b)ỹƒ(1,1). 4 a) Vf(x, y) = b) vƒ(1,1) = d) Draw Vf(1,1) accurately on the graph above. e) Draw Vf(1,1) accurately at the point (1, 1, 2) on the surface above. f) Geometrically what can you say about Vf (1,1 ) at the point (1, 1, 2) on the surface?
Transcribed Image Text:10. Given: f(x,y) = -x² – y² + 4. a) Draw an accurate graph of the portion of f(x,y) that is above the xy – plane. b) Describe the 2D shape of the footprint of the surface you drew. Be specific. c) Find a) Vf(x,y). b)ỹƒ(1,1). 4 a) Vf(x, y) = b) vƒ(1,1) = d) Draw Vf(1,1) accurately on the graph above. e) Draw Vf(1,1) accurately at the point (1, 1, 2) on the surface above. f) Geometrically what can you say about Vf (1,1 ) at the point (1, 1, 2) on the surface?
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