In Exercises 47–52, sketch the level curves c = −3, −2, −1, 0,1, 2, 3 if they exist for the specified function. 48. f (x, y) = x2 − y249. f (x, y) = sin(x + y) 50. f (x, y) = cos(xy)51. f (x, y) = y csc x 52. f (x, y) = y sec x

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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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In Exercises 47–52, sketch the level curves c = −3, −2, −1, 0,
1, 2, 3 if they exist for the specified function.

48. f (x, y) = x2 − y2
49. f (x, y) = sin(x + y)

50. f (x, y) = cos(xy)
51. f (x, y) = y csc x

52. f (x, y) = y sec x

 

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