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Continuity 4. Let f(r,y) be a function defined on a disk D mot containing the origin which is given by 212 f(1, y) = 1² + y? Show that 0< f(x, y) < 2 for (r, y) € D.

Continuity 4. Let f(r,y) be a function defined on a disk D mot containing the origin which is given by 212 f(1, y) = 1² + y? Show that 0< f(x, y) < 2 for (r, y) € D.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
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5 Show that the function h(r, y) defined by if r +y? < 1 x2- h(x, y) 0; if r +y 2 1 is discontinuous.
Transcribed Image Text:5 Show that the function h(r, y) defined by if r +y? < 1 x2- h(x, y) 0; if r +y 2 1 is discontinuous.
Continuity 4. Let f(r, y) be a function defined on a disk D not containing the origin which is given by f(r, y) = x² + y? Show that 0 < f(x, y) < 2 for (r, y) € D.
Transcribed Image Text:Continuity 4. Let f(r, y) be a function defined on a disk D not containing the origin which is given by f(r, y) = x² + y? Show that 0 < f(x, y) < 2 for (r, y) € D.
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