where Use difference quotients with Ax = 0.1 and Ay = 0.1 to estimate ƒx(4,4) and ƒ,(4,4) f(x, y) = e¯* sin(y). fx(4,4) ≈ fy(4,4)≈ Then give better estimates by using Ax = 0.01 and Ay = 0.01. fx(4,4) ≈ fy(4,4)≈
where Use difference quotients with Ax = 0.1 and Ay = 0.1 to estimate ƒx(4,4) and ƒ,(4,4) f(x, y) = e¯* sin(y). fx(4,4) ≈ fy(4,4)≈ Then give better estimates by using Ax = 0.01 and Ay = 0.01. fx(4,4) ≈ fy(4,4)≈
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Use difference quotients with Δx = 0.1 and Δy = 0.1 to estimate fₓ(4, 4) and fᵧ(4, 4) where**
\[ f(x, y) = e^{-x} \sin(y) . \]
\[ fₓ(4, 4) \approx \, \] [Text Box]
\[ fᵧ(4, 4) \approx \, \] [Text Box]
**Then give better estimates by using Δx = 0.01 and Δy = 0.01.**
\[ fₓ(4, 4) \approx \, \] [Text Box]
\[ fᵧ(4, 4) \approx \, \] [Text Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18fe6d10-65c6-4dea-a463-83c487832ab0%2F8595a29b-1fea-4fed-808c-7fd08f2485e3%2Fvtdikitg_processed.png&w=3840&q=75)
Transcribed Image Text:**Use difference quotients with Δx = 0.1 and Δy = 0.1 to estimate fₓ(4, 4) and fᵧ(4, 4) where**
\[ f(x, y) = e^{-x} \sin(y) . \]
\[ fₓ(4, 4) \approx \, \] [Text Box]
\[ fᵧ(4, 4) \approx \, \] [Text Box]
**Then give better estimates by using Δx = 0.01 and Δy = 0.01.**
\[ fₓ(4, 4) \approx \, \] [Text Box]
\[ fᵧ(4, 4) \approx \, \] [Text Box]
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