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Let h(x, y): = x² + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is discontinuous at (0,0). (b) Evaluate hr(0,0).

Let h(x, y): = x² + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is discontinuous at (0,0). (b) Evaluate hr(0,0).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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kindly specify the type of discontinuity in a

Let h(x, y) = X x³ + y sin². x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is discontinuous at (0,0). (b) Evaluate hx (0,0).
Transcribed Image Text:Let h(x, y) = X x³ + y sin². x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is discontinuous at (0,0). (b) Evaluate hx (0,0).
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