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From the contour map of f shown below decide whether fx, fy are positive, negative, or zero at P. y Ka 1. fx > 0, fy 2. 3. 4. 5. fx > 0, 6. fx > 0, < 0 fx < 0, fy < 0 fx < 0, fy - 0 fx < 0, fy 0 fy > 0 fy = 0 4 6

From the contour map of f shown below decide whether fx, fy are positive, negative, or zero at P. y Ka 1. fx > 0, fy 2. 3. 4. 5. fx > 0, 6. fx > 0, < 0 fx < 0, fy < 0 fx < 0, fy - 0 fx < 0, fy 0 fy > 0 fy = 0 4 6

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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From the contour map of \( f \) shown below, decide whether \( f_x, f_y \) are positive, negative, or zero at \( P \). **Contour Map Diagram:** - The diagram is a contour map with a grid background. - The \( x \)-axis and \( y \)-axis are marked in red with arrows pointing right and down, respectively. - Blue contour lines are plotted, curving towards the right as they move up. - The contour lines are labeled with values increasing from 0 to 6 as they move away from the origin in both positive \( x \) and negative \( y \) directions. - The point \( P \) is marked on the graph, located between the contour lines labeled 2 and 4 in the positive \( x \) direction. **Options:** 1. \( f_x > 0, \ f_y < 0 \) 2. \( f_x < 0, \ f_y < 0 \) 3. \( f_x < 0, \ f_y = 0 \) 4. \( f_x < 0, \ f_y > 0 \) 5. \( f_x > 0, \ f_y > 0 \) 6. \( f_x > 0, \ f_y = 0 \)
Transcribed Image Text:From the contour map of \( f \) shown below, decide whether \( f_x, f_y \) are positive, negative, or zero at \( P \). **Contour Map Diagram:** - The diagram is a contour map with a grid background. - The \( x \)-axis and \( y \)-axis are marked in red with arrows pointing right and down, respectively. - Blue contour lines are plotted, curving towards the right as they move up. - The contour lines are labeled with values increasing from 0 to 6 as they move away from the origin in both positive \( x \) and negative \( y \) directions. - The point \( P \) is marked on the graph, located between the contour lines labeled 2 and 4 in the positive \( x \) direction. **Options:** 1. \( f_x > 0, \ f_y < 0 \) 2. \( f_x < 0, \ f_y < 0 \) 3. \( f_x < 0, \ f_y = 0 \) 4. \( f_x < 0, \ f_y > 0 \) 5. \( f_x > 0, \ f_y > 0 \) 6. \( f_x > 0, \ f_y = 0 \)
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