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a) State the principle of comparison for integrals. b) Let f(xy) = sqrt (2+x+y). Plot some level sets of f inside the unit disc x+ys 1, marking the level value for each. Include at least one which is reduced to a single point. c) Using the comparison principle, give an upper bound to Jo f(x,y) dA, where Dis the unit disc (see above).

a) State the principle of comparison for integrals. b) Let f(xy) = sqrt (2+x+y). Plot some level sets of f inside the unit disc x+ys 1, marking the level value for each. Include at least one which is reduced to a single point. c) Using the comparison principle, give an upper bound to Jo f(x,y) dA, where Dis the unit disc (see above).

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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a) State the principle of comparison for integrals. b) Let f(xy) each, Include at least one which is reduced to a single point. c) Using the comparison principle, give an upper bound to SSo f(x,y) dA, where D is the unit disc (see above). sqrt (2+x+y). Plot some level sets of f inside the unit disc x + y s 1, marking the level value for
Transcribed Image Text:a) State the principle of comparison for integrals. b) Let f(xy) each, Include at least one which is reduced to a single point. c) Using the comparison principle, give an upper bound to SSo f(x,y) dA, where D is the unit disc (see above). sqrt (2+x+y). Plot some level sets of f inside the unit disc x + y s 1, marking the level value for
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