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(5xy²cos(y²) a) Let h(x,y) = { 3x2+y* where if 5xy²cos(y²) 3x2+y* ', (x,y) # (0,0); and in 0, (x,y) = (0,0). Demonstrate that h is discontinuous at (0,0). What type of discontinuity is present? In(x²- y) -x² - y b) Find the domain of h(x,y) = Then, draw the respective domain.

(5xy²cos(y²) a) Let h(x,y) = { 3x2+y* where if 5xy²cos(y²) 3x2+y* ', (x,y) # (0,0); and in 0, (x,y) = (0,0). Demonstrate that h is discontinuous at (0,0). What type of discontinuity is present? In(x²- y) -x² - y b) Find the domain of h(x,y) = Then, draw the respective domain.

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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(5xy²cos(y²) a) Let h(x,y) = } 3x2+y where if 5xy cos(y2) 3x2+y* , (x,y) # (0,0); and in 0, (x,y) = (0,0). Demonstrate that h is discontinuous at (0,0). What type of discontinuity is present? In(x²- y) b) Find the domain of h(x,y) = Then, draw the respective domain.
Transcribed Image Text:(5xy²cos(y²) a) Let h(x,y) = } 3x2+y where if 5xy cos(y2) 3x2+y* , (x,y) # (0,0); and in 0, (x,y) = (0,0). Demonstrate that h is discontinuous at (0,0). What type of discontinuity is present? In(x²- y) b) Find the domain of h(x,y) = Then, draw the respective domain.
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