Suppose that f(x, y) is a smooth function and that its partial derivatives have the values, fz(5,8) = 2 and fy(5, 8) = -4. Given that f(5, 8) = 6, use this information to estimate the value of f(6,9). Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation. Estimate of (integer value) f(5,9) Estimate of (integer value) f(6,8) Estimate of (integer value) f(6,9) B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose that f(x, y) is a smooth function and that its partial derivatives have the values, fz(5,8) = 2 and fy(5, 8) = -4. Given
that f(5, 8) = 6, use this information to estimate the value of f(6,9). Note this is analogous to finding the tangent line
approximation to a function of one variable. In fancy terms, it is the first Taylor approximation.
Estimate of (integer value) f(5,9)
9-
Estimate of (integer value) f(6,8)
Estimate of (integer value) f(6,9)
Transcribed Image Text:Suppose that f(x, y) is a smooth function and that its partial derivatives have the values, fz(5,8) = 2 and fy(5, 8) = -4. Given that f(5, 8) = 6, use this information to estimate the value of f(6,9). Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation. Estimate of (integer value) f(5,9) 9- Estimate of (integer value) f(6,8) Estimate of (integer value) f(6,9)
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