Suppose you are standing on the paraboloid directly above the positive y-axis. In the direction of what unit vector u should you walk to descend the paraboloid at the greatest rate? (Use the interactive figure to find your answer.) Click here to launch the interactive figu In order to descend at the greatest rate, you walk in the direction of the unit vector u = H ).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 46E
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I'm just not sure exactly what they're asking here, since you're stainding on the y-axis, would it just be <-x,0>?

 

Suppose you are standing on the paraboloid directly above the positive y-axis. In the
direction of what unit vector u should you walk to descend the paraboloid at the greatest
rate?
www d
(Use the interactive figure to find your answer.)
Click here to launch the interactive figure.
In order to descend at the greatest rate, you walk in the direction of the unit vector u =
Transcribed Image Text:Suppose you are standing on the paraboloid directly above the positive y-axis. In the direction of what unit vector u should you walk to descend the paraboloid at the greatest rate? www d (Use the interactive figure to find your answer.) Click here to launch the interactive figure. In order to descend at the greatest rate, you walk in the direction of the unit vector u =
a
V f(a, b) lies in the same
plane as the domain of f.
show surface
z = f(x, y)
V f(ay b)
- V f(a, b) points in the direction
of steepest descent on surface.
V f(a, b) points in the direction of
steepest ascent on surface.
Transcribed Image Text:a V f(a, b) lies in the same plane as the domain of f. show surface z = f(x, y) V f(ay b) - V f(a, b) points in the direction of steepest descent on surface. V f(a, b) points in the direction of steepest ascent on surface.
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