3. A two-variable function f(x, y) has selected values given by y\r 3.0 -1.5 -1.0 -0.5 5.3 6.0 5.8 2.5 6.5 5.5 6.1 2.0 4.0 4.5 5.0 3a. Using central difference formula estimate the rate of change of f(r, y) in the y-direction at (-1.0, 2.5). 3b. Approximate partial derivative of f(x, y) with respect to in the r-direction at (-0.5, 2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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3. A two-variable function f(x, y) has selected values given by
y\r-1.5 -1.0 -0.5
3.0
5.3
6.0
5.8
2.5
6.5
5.5
6.1
2.0
4.0
4.5
5.0
3a. Using central difference formula estimate the rate of change of f(x, y) in the y-direction at
(-1.0,2.5).
(-1,0,2.5)
3b. Approximate partial derivative of f(x, y) with respect to in the r-direction at (-0.5, 2).
Transcribed Image Text:3. A two-variable function f(x, y) has selected values given by y\r-1.5 -1.0 -0.5 3.0 5.3 6.0 5.8 2.5 6.5 5.5 6.1 2.0 4.0 4.5 5.0 3a. Using central difference formula estimate the rate of change of f(x, y) in the y-direction at (-1.0,2.5). (-1,0,2.5) 3b. Approximate partial derivative of f(x, y) with respect to in the r-direction at (-0.5, 2).
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