Consider the function defined by f(x, y) = 4x² + y². (a) Find the domain and range of f. (b) Draw a contour map of f for k -1,0, 1, 2, 3. (c) Using part (b), provide a sketch of the graph of f.

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
Section9.1: Functions Of Several Variables
Problem 21E
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Consider the function defined by f(x, y) = 4x² + y².
(a) Find the domain and range of f.
(b) Draw a contour map of f for k
–1,0,1, 2, 3.
(c) Using part (b), provide a sketch of the graph of f.
Transcribed Image Text:Consider the function defined by f(x, y) = 4x² + y². (a) Find the domain and range of f. (b) Draw a contour map of f for k –1,0,1, 2, 3. (c) Using part (b), provide a sketch of the graph of f.
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