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A contour diagram of z = f(x, y) is given in the figure. Determine whether fx, fy, fxx and fyy are positive, negative, or zero at the points P, Q, R, and S. ? ? ? ? ? ? ? ? ? ? 1. fx at the point R. 2. fx at the point S. 3. fyy at the point S. 4. fy at the point P. 5. fy at the point S. 6. fxx at the point R. 7. fxx at the point Q. 8. fy at the point R. 9. fyy at the point Q. 10. fx at the point P.

A contour diagram of z = f(x, y) is given in the figure. Determine whether fx, fy, fxx and fyy are positive, negative, or zero at the points P, Q, R, and S. ? ? ? ? ? ? ? ? ? ? 1. fx at the point R. 2. fx at the point S. 3. fyy at the point S. 4. fy at the point P. 5. fy at the point S. 6. fxx at the point R. 7. fxx at the point Q. 8. fy at the point R. 9. fyy at the point Q. 10. fx at the point P.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A contour diagram of z = f(x, y) is given in the figure. Determine whether fx, fy, fxx and fyy are positive, negative, or zero at the points P, Q, R, and S. ? ? ? ? ? ? ? ? ? ? 1. fx at the point R. 2. fx at the point S. 3. fyy at the point S. 4. fy at the point P. 5. fy at the point S. 6. fxx at the point R. 7. fxx at the point Q. 8. fy at the point R. 9. fyy at the point Q. 10. fx at the point P. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ high med high high high (Click on graph to enlarge)
Transcribed Image Text:A contour diagram of z = f(x, y) is given in the figure. Determine whether fx, fy, fxx and fyy are positive, negative, or zero at the points P, Q, R, and S. ? ? ? ? ? ? ? ? ? ? 1. fx at the point R. 2. fx at the point S. 3. fyy at the point S. 4. fy at the point P. 5. fy at the point S. 6. fxx at the point R. 7. fxx at the point Q. 8. fy at the point R. 9. fyy at the point Q. 10. fx at the point P. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ high med high high high (Click on graph to enlarge)
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