1. Consider the function : = f(x, y) = V16 – r - 4y2. (i) Find the domain and range of the function. (ii) Sketch the level curve for : = 0 and trace of the function for y 0. (iii) Sketch the graph of the function.

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1. Consider the function z = f(x, y) = V16 – x2 – 4y².
(i) Find the domain and range of the function.
(ii) Sketch the level curve for 2 = 0 and trace of the function for y = 0.
(iii) Sketch the graph of the function.
Transcribed Image Text:1. Consider the function z = f(x, y) = V16 – x2 – 4y². (i) Find the domain and range of the function. (ii) Sketch the level curve for 2 = 0 and trace of the function for y = 0. (iii) Sketch the graph of the function.
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