Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero. 1. At the point (0, 2) in the direction of 7, 2. At the point (-1, 1) in the direction of ? ? (-i+j)/√2, ? (i - 2j)/√5, ? (-i - j)/√2, ? ? 3. At the point (0, -2) in the direction of 4. At the point (-1, 1) in the direction of 5. At the point (-2, 2) in the direction of 7, 6. At the point (1, 0) in the direction of-j, 2.4 1.6 0.8 o -0.8 -1.6 -2.4 12.0 12.0 10.0 10.0 6.0 -0.8 0.8 4.0 1.6 12.0 10.0 10.0 12.0 2.4 (Click graph to enlarge)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.1: Relations And Functions
Problem 67PS: The height of a projectile fired vertically into the air neglecting air resistance at an initial...
icon
Related questions
Question
Use the contour diagram of ƒ to decide if the specified directional
derivative is positive, negative, or approximately zero.
1. At the point (0, 2) in the direction of 7,
2. At the point (−1, 1) in the direction of
?
?
(−i +j)/√2,
?
(i - 2j)/√5,
?
(-i-j)/√2,
?
?
3. At the point (0, −2) in the direction of
4. At the point (-1, 1) in the direction of
5. At the point (-2, 2) in the direction of i,
6. At the point (1, 0) in the direction of -j,
2.4
1.6
0.8
0
-0.8
-1.6-
-2.4
12.0
12.0
10.0
6.0
10.0
-2.4 -1.6 -0.8
0
X
0.8
4.0
1.6
12.0
10.0
8.
10.0
12.0
2.4
(Click graph to enlarge)
Transcribed Image Text:Use the contour diagram of ƒ to decide if the specified directional derivative is positive, negative, or approximately zero. 1. At the point (0, 2) in the direction of 7, 2. At the point (−1, 1) in the direction of ? ? (−i +j)/√2, ? (i - 2j)/√5, ? (-i-j)/√2, ? ? 3. At the point (0, −2) in the direction of 4. At the point (-1, 1) in the direction of 5. At the point (-2, 2) in the direction of i, 6. At the point (1, 0) in the direction of -j, 2.4 1.6 0.8 0 -0.8 -1.6- -2.4 12.0 12.0 10.0 6.0 10.0 -2.4 -1.6 -0.8 0 X 0.8 4.0 1.6 12.0 10.0 8. 10.0 12.0 2.4 (Click graph to enlarge)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell