Consider g(x, y) = -5x²y³ 3x4 + 7y6¹ 0, (a) Show that 9 (b) Find g (0,0). if (x, y) = (0,0) if (x, y) = (0,0) has an essential discontinuity at (x, y) = (0,0).
Consider g(x, y) = -5x²y³ 3x4 + 7y6¹ 0, (a) Show that 9 (b) Find g (0,0). if (x, y) = (0,0) if (x, y) = (0,0) has an essential discontinuity at (x, y) = (0,0).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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Transcribed Image Text:Consider g(x, y)
=
-5x²y³
3x4 + 7y6'
0,
if (x, y)
(0,0)
if (x, y) = (0,0)
(a) Show that g has an essential discontinuity at (x, y)
(b) Find ga(0,0).
(0,0).
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