Find the linear approximation of the function f (x, y,z)= x' Vy +z° at the point (2, 3, 4) and use it to estimate the number (1.98) /(3.01)² + (3.97)? .

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**11.** Find the linear approximation of the function \( f(x, y, z) = x^3 \sqrt{y^2 + z^2} \) at the point \( (2, 3, 4) \) and use it to estimate the number \( (1.98)^3 \sqrt{(3.01)^2 + (3.97)^2} \).
Transcribed Image Text:**11.** Find the linear approximation of the function \( f(x, y, z) = x^3 \sqrt{y^2 + z^2} \) at the point \( (2, 3, 4) \) and use it to estimate the number \( (1.98)^3 \sqrt{(3.01)^2 + (3.97)^2} \).
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