Use the contour diagram for f(x, y) shown below toestimate the directional derivative of f in the direction vat the point P.(a) At the point P = (2, 2) in the direction v = j, thedirectional derivative is approximately(b) At the point P = (2,3) in the direction=-7, thedirectional derivative is approximatelyD(c) At the point P = (4, 1) in the direction.v = (i+j)/√2, the directional derivative isapproximately(d) At the point P = (4,0) in the direction v = −ỉ, thedirectional derivative is approximately 4.8y43.22.41.60.80.02.00-0.8-0.84.02.0아 -0.06.018.016.014.012.010.00.81.6x8.02.02.43.244.8

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Answered: Use the contour diagram for f(x, y)…

Use the contour diagram for f(x, y) shown below to estimate the directional derivative of f in the direction v at the point P.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter6: Rates Of Change

Section6.1: Velocity

Problem 2SBE: Sign of VelocityWhen directed distance is decreasing, is velocity positive or negative? What is the...

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Question

Use the contour diagram for f(x, y) shown below to
estimate the directional derivative of f in the direction v
at the point P.
(a) At the point P = (2, 2) in the direction v = j, the
directional derivative is approximately
(b) At the point P = (2,3) in the direction=-7, the
directional derivative is approximately
D
(c) At the point P = (4, 1) in the direction.
v = (i+j)/√2, the directional derivative is
approximately
(d) At the point P = (4,0) in the direction v = −ỉ, the
directional derivative is approximately

4.8
y
4
3.2
2.4
1.6
0.8
0.0
2.0
0
-0.8
-0.8
4.0
2.0
아 -0.0
6.0
18.0
16.0
14.0
12.0
10.0
0.8
1.6
x
8.0
2.0
2.4
3.2
4
4.8

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