4. Consider the function f(x, y) = -x/(c+ √² + y²), plotted below for c = 1. 0.5 0.0 -0.5 9 2 i) Write this function in cylindrical coordinates. ii) Compute the gradient in any coordinate system that strikes you as convenient.
4. Consider the function f(x, y) = -x/(c+ √² + y²), plotted below for c = 1. 0.5 0.0 -0.5 9 2 i) Write this function in cylindrical coordinates. ii) Compute the gradient in any coordinate system that strikes you as convenient.
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Transcribed Image Text:4. Consider the function f(x, y) = -x/(c+ √² + y²), plotted below for c = 1.
0.5
0.0
-0.5
0
i) Write this function in cylindrical coordinates.
ii) Compute the gradient in any coordinate system that strikes you as convenient.
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