Let f(æ, y) = x² + 4y² – 5. (1) Find the equation of the plane tangent to this function at (1, 1, 0). (2) Use the linearization (linear approximation) of this function at (1, 1) to approximate f(1.1,0.9). Show all your work and answers on your own paper. You may leave the box below blank.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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67
Let
f(x, y) = x² + 4y? – 5.
(1) Find the equation of the plane tangent to this function at (1, 1, 0).
(2) Use the linearization (linear approximation) of this function at (1, 1) to approximate f(1.1,0.9).
Show all your work and answers on your own paper. You may leave the box below blank.
Transcribed Image Text:67 Let f(x, y) = x² + 4y? – 5. (1) Find the equation of the plane tangent to this function at (1, 1, 0). (2) Use the linearization (linear approximation) of this function at (1, 1) to approximate f(1.1,0.9). Show all your work and answers on your own paper. You may leave the box below blank.
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