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Find the linear approximation of the function f(x, y, z) = √√√x² + y² + z² at (6, 9, 2) and use it to approximate the number √6.02² +8.97² +1.99². (Round your answer to five decimal places.) f(6.02, 8.97, 1.99) | X

Find the linear approximation of the function f(x, y, z) = √√√x² + y² + z² at (6, 9, 2) and use it to approximate the number √6.02² +8.97² +1.99². (Round your answer to five decimal places.) f(6.02, 8.97, 1.99) | X

Advanced Engineering Mathematics
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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what is the correct answer for those two?

Find the linear approximation of the function f(x, y, z) = √√√x² + y² + z² at (6, 9, 2) and use it to approximate the number √6.02² +8.97² +1.992. (Round your answer to five decimal places.) f(6.02, 8.97, 1.99) =
Transcribed Image Text:Find the linear approximation of the function f(x, y, z) = √√√x² + y² + z² at (6, 9, 2) and use it to approximate the number √6.02² +8.97² +1.992. (Round your answer to five decimal places.) f(6.02, 8.97, 1.99) =
Suppose you need to know an equation of the tangent plane to a surface S at the point P(4, 1, 4). You don't have an equation for S but you know that the curves r₁(t) = (4 + 3t, 1-², 4-5t+t²) r₂(u) = (3 + u², 2u³ - 1, 2u + 2) both lie on S. Find an equation of the tangent plane at P. 30x60y + 18z = 132 X
Transcribed Image Text:Suppose you need to know an equation of the tangent plane to a surface S at the point P(4, 1, 4). You don't have an equation for S but you know that the curves r₁(t) = (4 + 3t, 1-², 4-5t+t²) r₂(u) = (3 + u², 2u³ - 1, 2u + 2) both lie on S. Find an equation of the tangent plane at P. 30x60y + 18z = 132 X
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