Draw a possible contour diagram of f such that fx (−1, 0) = 0, fy (−1, 0) < 0, fx (3, 3) > 0, fy (3, 3) > 0, and f has a local maximum at (3, −3).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Draw a possible contour diagram of f such that fx (−1, 0) = 0, fy (−1, 0) < 0, fx (3, 3) > 0, fy (3, 3) > 0, and f has a local maximum at (3, −3). 47. Draw a possible contour diagram of a function with a saddle point at (2, 1), a local minimum at (2, 4), and no other critical points. Label the contours. 

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