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33. Figure 14.13 shows the saddle-shaped surface z = S(x, y). (a) What is the sign of f,(0, 5)? (b) What is the sign of f,(0, 5)? (0, 5, 3)

33. Figure 14.13 shows the saddle-shaped surface z = S(x, y). (a) What is the sign of f,(0, 5)? (b) What is the sign of f,(0, 5)? (0, 5, 3)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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33. Figure 14.13 shows the saddle-shaped surface \( z = f(x, y) \). (a) What is the sign of \( f_x(0, 5) \)? (b) What is the sign of \( f_y(0, 5) \)? **Figure 14.13 Explanation:** The diagram depicts a three-dimensional saddle-shaped surface. The axes are labeled as \( x \), \( y \), and \( z \). A point is marked at \( (0, 5, 3) \) on the surface. The surface curves upwards along the \( x \)-axis and downwards along the \( y \)-axis, forming a saddle shape. The point indicates a location on the surface where the analysis about the sign of the partial derivatives is to be evaluated.
Transcribed Image Text:33. Figure 14.13 shows the saddle-shaped surface \( z = f(x, y) \). (a) What is the sign of \( f_x(0, 5) \)? (b) What is the sign of \( f_y(0, 5) \)? **Figure 14.13 Explanation:** The diagram depicts a three-dimensional saddle-shaped surface. The axes are labeled as \( x \), \( y \), and \( z \). A point is marked at \( (0, 5, 3) \) on the surface. The surface curves upwards along the \( x \)-axis and downwards along the \( y \)-axis, forming a saddle shape. The point indicates a location on the surface where the analysis about the sign of the partial derivatives is to be evaluated.
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