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Show that the function f defined by 1, f(r, y) = { r2 + y (x, y) = (1, –1) (x, y) # (1, –1) is not continuous at (1, –1).

Show that the function f defined by 1, f(r, y) = { r2 + y (x, y) = (1, –1) (x, y) # (1, –1) is not continuous at (1, –1).

Calculus For The Life Sciences
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.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 1E: Assume x and y are functions of t. Evaluate dydtfor each of the following. y28x3=55; dxdt=4,x=2,y=3
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Show that the function f defined by 1, (x, y) = (1, –1) f(r, y) = { 12 + y %3D (x, y) # (1, –1) x + y is not continuous at (1, –1).
Transcribed Image Text:Show that the function f defined by 1, (x, y) = (1, –1) f(r, y) = { 12 + y %3D (x, y) # (1, –1) x + y is not continuous at (1, –1).
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