Find the directions of maximum and minimum change of fat the given point, and the values of the maximum and minimum rates of change. f(x, y)=9y²ex, (3, 1) O The maximum change is 18e¹8 √10; in the direction (-54e¹8, -18e¹8); The minimum change is-18e¹8 √10; in the direction (54e18, 18e¹8). The maximum change is 18e-18 √10; in the direction (-54e-18, -18e-18); The minimum change is-18e-18 √10; in the direction (54e-18, 18e-18). The maximum change is 18e¹8 √10; in the direction (54e¹8, 18e18); The minimum change is-18e¹8 √10; in the direction (-54e18, -18e¹8). O The maximum change is 18e-18 √10; in the direction (54e-18, 18e-18); The minimum change is-18e-18 √10; in the direction (-54e-18, -18e-18).
Find the directions of maximum and minimum change of fat the given point, and the values of the maximum and minimum rates of change. f(x, y)=9y²ex, (3, 1) O The maximum change is 18e¹8 √10; in the direction (-54e¹8, -18e¹8); The minimum change is-18e¹8 √10; in the direction (54e18, 18e¹8). The maximum change is 18e-18 √10; in the direction (-54e-18, -18e-18); The minimum change is-18e-18 √10; in the direction (54e-18, 18e-18). The maximum change is 18e¹8 √10; in the direction (54e¹8, 18e18); The minimum change is-18e¹8 √10; in the direction (-54e18, -18e¹8). O The maximum change is 18e-18 √10; in the direction (54e-18, 18e-18); The minimum change is-18e-18 √10; in the direction (-54e-18, -18e-18).
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
Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
Problem 8E
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Transcribed Image Text:Find the directions of maximum and minimum change of fat the given point, and the values of the
maximum and minimum rates of change.
f(x, y)=9y²ex, (3, 1)
O The maximum change is 18e¹8 √10; in the direction (-54e¹8, -18e¹8);
The minimum change is-18e¹8 √10; in the direction (54e18, 18e¹8).
The maximum change is 18e-18 √10; in the direction (-54e-18, -18e-18);
The minimum change is-18e-18 √10; in the direction (54e-18, 18e-18).
O
The maximum change is 18e¹8 √10; in the direction (54e¹8, 18e¹8);
The minimum change is-18e¹8 √10; in the direction (-54e18, -18e¹8).
The maximum change is 18e-18 √10; in the direction (54e-18, 18e-18);
The minimum change is-18e-18 √10; in the direction (-54e-18, -18e-18).
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