This function is given by (a) Find a formula for the single variable function f(0, y). f(0, y) = What is f(0, 0) for this function? f(0,0) Find its limit as y → 0: lim f(0, y) y+0 (b) Based on your work in (a), is the single variable function f(0, y) continuous?? (c) Next, similarly consider f(x, 0). f(x,0) = f(0,0) = lim f(x, 0) 2-0 5xy 2²+y2 (x, y) = (0,0) (x, y) = (0,0). f (2, 3) = { 3²
This function is given by (a) Find a formula for the single variable function f(0, y). f(0, y) = What is f(0, 0) for this function? f(0,0) Find its limit as y → 0: lim f(0, y) y+0 (b) Based on your work in (a), is the single variable function f(0, y) continuous?? (c) Next, similarly consider f(x, 0). f(x,0) = f(0,0) = lim f(x, 0) 2-0 5xy 2²+y2 (x, y) = (0,0) (x, y) = (0,0). f (2, 3) = { 3²
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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