8. [9 points] By the linear (tangent plane) approximation for the function f(x, y) = Jx² + y3 at point (1, 2), what approximation do you obtain for the number v0.982 + 2.013 ? Compute f and its first partial derivatives at point (1,2). Write the linearization (tangent plane) of function f at point (1, 2). i. ii. iii. Use the linearization to estimate the number above.
8. [9 points] By the linear (tangent plane) approximation for the function f(x, y) = Jx² + y3 at point (1, 2), what approximation do you obtain for the number v0.982 + 2.013 ? Compute f and its first partial derivatives at point (1,2). Write the linearization (tangent plane) of function f at point (1, 2). i. ii. iii. Use the linearization to estimate the number above.
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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![8. [9 points] By the linear (tangent plane) approximation for the function f(x, y) = /x² + y3
at point (1, 2), what approximation do you obtain for the number v0.982 + 2.013 ?
Compute f and its first partial derivatives at point (1, 2).
Write the linearization (tangent plane) of function f at point (1, 2).
Use the linearization to estimate the number above.
i.
ii.
iii.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F242d25fe-12ae-4a6c-8bda-14a6e8db796a%2Fc2e1631a-976a-4a23-9d38-5228335f8f1d%2F3gt2s2b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. [9 points] By the linear (tangent plane) approximation for the function f(x, y) = /x² + y3
at point (1, 2), what approximation do you obtain for the number v0.982 + 2.013 ?
Compute f and its first partial derivatives at point (1, 2).
Write the linearization (tangent plane) of function f at point (1, 2).
Use the linearization to estimate the number above.
i.
ii.
iii.
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